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<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">PLoS ONE</journal-id>
<journal-id journal-id-type="publisher-id">plos</journal-id>
<journal-id journal-id-type="pmc">plosone</journal-id>
<journal-title-group>
<journal-title>PLOS ONE</journal-title>
</journal-title-group>
<issn pub-type="epub">1932-6203</issn>
<publisher>
<publisher-name>Public Library of Science</publisher-name>
<publisher-loc>San Francisco, CA USA</publisher-loc>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.1371/journal.pone.0238817</article-id>
<article-id pub-id-type="publisher-id">PONE-D-20-19043</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Research Article</subject>
</subj-group>
<subj-group subj-group-type="Discipline-v3">
<subject>Biology and life sciences</subject><subj-group><subject>Bioengineering</subject><subj-group><subject>Biotechnology</subject><subj-group><subject>Bionanotechnology</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Bioengineering</subject><subj-group><subject>Biotechnology</subject><subj-group><subject>Bionanotechnology</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Nanotechnology</subject><subj-group><subject>Bionanotechnology</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Materials science</subject><subj-group><subject>Materials</subject><subj-group><subject>Binders</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Materials science</subject><subj-group><subject>Materials</subject><subj-group><subject>Nanomaterials</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Nanotechnology</subject><subj-group><subject>Nanomaterials</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Nanotechnology</subject><subj-group><subject>Nanoparticles</subject></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Chemistry</subject><subj-group><subject>Chemical properties</subject><subj-group><subject>Viscosity</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Chemistry</subject><subj-group><subject>Physical chemistry</subject><subj-group><subject>Chemical properties</subject><subj-group><subject>Viscosity</subject></subj-group></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Materials science</subject><subj-group><subject>Materials physics</subject><subj-group><subject>Viscosity</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Physics</subject><subj-group><subject>Materials physics</subject><subj-group><subject>Viscosity</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Engineering and technology</subject><subj-group><subject>Nanotechnology</subject></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Materials science</subject><subj-group><subject>Materials</subject><subj-group><subject>Powders</subject></subj-group></subj-group></subj-group></subj-group><subj-group subj-group-type="Discipline-v3">
<subject>Physical sciences</subject><subj-group><subject>Materials science</subject><subj-group><subject>Materials</subject><subj-group><subject>Thin films</subject></subj-group></subj-group></subj-group></subj-group></article-categories>
<title-group>
<article-title>Investigating the pavement performance and aging resistance of modified bio-asphalt with nano-particles</article-title>
<alt-title alt-title-type="running-head">Pavement performance and ageing resistance of nano-modified bio-asphalt</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes" xlink:type="simple">
<contrib-id authenticated="true" contrib-id-type="orcid">http://orcid.org/0000-0002-3500-7320</contrib-id>
<name name-style="western">
<surname>Ren</surname>
<given-names>Jiaolong</given-names>
</name>
<role content-type="https://casrai.org/credit/">Conceptualization</role>
<role content-type="https://casrai.org/credit/">Data curation</role>
<role content-type="https://casrai.org/credit/">Formal analysis</role>
<role content-type="https://casrai.org/credit/">Funding acquisition</role>
<role content-type="https://casrai.org/credit/">Investigation</role>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Project administration</role>
<role content-type="https://casrai.org/credit/">Resources</role>
<role content-type="https://casrai.org/credit/">Supervision</role>
<role content-type="https://casrai.org/credit/">Validation</role>
<role content-type="https://casrai.org/credit/">Visualization</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor001">*</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Zang</surname>
<given-names>Guangyuan</given-names>
</name>
<role content-type="https://casrai.org/credit/">Data curation</role>
<role content-type="https://casrai.org/credit/">Formal analysis</role>
<role content-type="https://casrai.org/credit/">Methodology</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Wang</surname>
<given-names>Siyuan</given-names>
</name>
<role content-type="https://casrai.org/credit/">Formal analysis</role>
<role content-type="https://casrai.org/credit/">Funding acquisition</role>
<role content-type="https://casrai.org/credit/">Writing – original draft</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author" corresp="yes" xlink:type="simple">
<name name-style="western">
<surname>Shi</surname>
<given-names>Jun</given-names>
</name>
<role content-type="https://casrai.org/credit/">Data curation</role>
<role content-type="https://casrai.org/credit/">Resources</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff001"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor001">*</xref>
</contrib>
<contrib contrib-type="author" xlink:type="simple">
<name name-style="western">
<surname>Wang</surname>
<given-names>Yuanyuan</given-names>
</name>
<role content-type="https://casrai.org/credit/">Funding acquisition</role>
<role content-type="https://casrai.org/credit/">Resources</role>
<role content-type="https://casrai.org/credit/">Writing – review &amp; editing</role>
<xref ref-type="aff" rid="aff002"><sup>2</sup></xref>
</contrib>
</contrib-group>
<aff id="aff001"><label>1</label> <addr-line>School of Civil and Architectural Engineering, Shandong University of Technology, Zibo, Shandong, China</addr-line></aff>
<aff id="aff002"><label>2</label> <addr-line>School of Civil Engineering and Architecture, Hubei University of Arts and Science, Xiangyang, Hubei, China</addr-line></aff>
<contrib-group>
<contrib contrib-type="editor" xlink:type="simple">
<name name-style="western">
<surname>Khitab</surname>
<given-names>Anwar</given-names>
</name>
<role>Editor</role>
<xref ref-type="aff" rid="edit1"/>
</contrib>
</contrib-group>
<aff id="edit1"><addr-line>Mirpur University of Science and Technology, PAKISTAN</addr-line></aff>
<author-notes>
<fn fn-type="conflict" id="coi001">
<p>The authors have declared that no competing interests exist.</p>
</fn>
<corresp id="cor001">* E-mail: <email xlink:type="simple">worjl@126.com</email> (JR); <email xlink:type="simple">120718651@qq.com</email> (JS)</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>4</day>
<month>9</month>
<year>2020</year>
</pub-date>
<pub-date pub-type="collection">
<year>2020</year>
</pub-date>
<volume>15</volume>
<issue>9</issue>
<elocation-id>e0238817</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>6</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>23</day>
<month>8</month>
<year>2020</year>
</date>
</history>
<permissions>
<copyright-year>2020</copyright-year>
<copyright-holder>Ren et al</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">
<license-p>This is an open access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/4.0/" xlink:type="simple">Creative Commons Attribution License</ext-link>, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.</license-p>
</license>
</permissions>
<self-uri content-type="pdf" xlink:href="info:doi/10.1371/journal.pone.0238817"/>
<abstract>
<p>Bio-asphalt binders have been proposed as replacements for traditional asphalt binders, owing to advantages such as environmental protection, low costs, and abundant resources. However, a limitation of bio-asphalt binders is that their high-temperature performance is not suitable for pavement construction. In recent years, nano-particles have been widely used to improve the pavement performance of asphalt binders, particularly the high-temperature performance. Thus, the nano-particles might also provide a positive modified effect on the high-temperature performance of bio-asphalt binders. Based on this, five types of nano-particles including SiO<sub>2</sub>, CaCO<sub>3</sub>, TiO<sub>2</sub>, Fe<sub>2</sub>O<sub>3</sub>, and ZnO are selected for the preparation of modified bio-asphalt binders, using different dosages of nano-particles and bio-oil. The high- and low-temperature performances, aging resistance, workable performance, and water stability of the nano-modified bio-asphalt binders and mixtures are investigated. The results reveal that, the high-temperature performance and aging resistance of the nano-modified bio-asphalt binders and mixtures are improved at increased nano-particle dosages, whereas their low-temperature performance is slightly weakened. The effects of the nano-particles on the workable performance and water stability are insignificant.</p>
</abstract>
<funding-group>
<award-group id="award001">
<funding-source>
<institution-wrap>
<institution-id institution-id-type="funder-id">http://dx.doi.org/10.13039/501100001809</institution-id>
<institution>National Natural Science Foundation of China</institution>
</institution-wrap>
</funding-source>
<award-id>51808326</award-id>
<principal-award-recipient>
<contrib-id authenticated="true" contrib-id-type="orcid">http://orcid.org/0000-0002-3500-7320</contrib-id>
<name name-style="western">
<surname>Ren</surname>
<given-names>Jiaolong</given-names>
</name>
</principal-award-recipient>
</award-group>
<award-group id="award002">
<funding-source>
<institution-wrap>
<institution-id institution-id-type="funder-id">http://dx.doi.org/10.13039/501100001809</institution-id>
<institution>National Natural Science Foundation of China</institution>
</institution-wrap>
</funding-source>
<award-id>51808084</award-id>
<principal-award-recipient>
<name name-style="western">
<surname>Wang</surname>
<given-names>Yuanyuan</given-names>
</name>
</principal-award-recipient>
</award-group>
<award-group id="award003">
<funding-source>
<institution>National University Student Innovation Program of China</institution>
</funding-source>
<award-id>201910433060</award-id>
<principal-award-recipient>
<name name-style="western">
<surname>Wang</surname>
<given-names>Yuanyuan</given-names>
</name>
</principal-award-recipient>
</award-group>
<funding-statement>1. Jiaolong Ren: National Natural Science Foundation of China under grant 51808326. <ext-link ext-link-type="uri" xlink:href="http://www.nsfc.gov.cn" xlink:type="simple">www.nsfc.gov.cn</ext-link> The funder provide the fund to support manuscript for publication. 2. Yuanyuan Wang: National Natural Science Foundation of China under grant 51808084. <ext-link ext-link-type="uri" xlink:href="http://www.nsfc.gov.cn" xlink:type="simple">www.nsfc.gov.cn</ext-link> The funder provide the fund to support manuscript for publication. 3. Siyuan Wang: National University Student Innovation Program of China under grants 201910433060. <ext-link ext-link-type="uri" xlink:href="http://www.moe.gov.cn/s78/A08/" xlink:type="simple">http://www.moe.gov.cn/s78/A08/</ext-link> The funder provide the fund to support manuscript for publication.</funding-statement>
</funding-group>
<counts>
<fig-count count="7"/>
<table-count count="10"/>
<page-count count="16"/>
</counts>
<custom-meta-group>
<custom-meta id="data-availability">
<meta-name>Data Availability</meta-name>
<meta-value>All relevant data are within the manuscript and its Supporting Information files.</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec id="sec001" sec-type="intro">
<title>Introduction</title>
<p>Asphalt mixture is one of the most important materials in pavement engineering. The demand for asphalt binder continues to grow with large-scale pavement construction and maintenance; however, the reserves of asphalt binder are decreasing worldwide, owing to the exhaustion of petroleum resources. Hence, there is a need to study alternative materials to reduce the consumption of asphalt binder, and to meet the technical requirements for pavement construction.</p>
<p>Bio-oil has been introduced as a replacement for traditional asphalt materials, owing to its advantages in environmental protection, low costs, and abundant resources. The physicochemical characteristics and pavement properties of different types of bio-oil modified asphalt binders have been extensively analyzed in recent years [<xref ref-type="bibr" rid="pone.0238817.ref001">1</xref>–<xref ref-type="bibr" rid="pone.0238817.ref012">12</xref>]. The results have revealed that bio-oil modified asphalt binders can provide better low-temperature performance than traditional asphalt binders, as the bio-oil alleviates the thermal stress more easily [<xref ref-type="bibr" rid="pone.0238817.ref013">13</xref>]. However, the high-temperature stabilities of bio-oil modified asphalt binders are unsatisfactory. Fini et al. [<xref ref-type="bibr" rid="pone.0238817.ref001">1</xref>] discovered that a bio-asphalt binder might decrease the high-temperature grade of asphalt binders. Gao et al. [<xref ref-type="bibr" rid="pone.0238817.ref002">2</xref>], Sun et al. [<xref ref-type="bibr" rid="pone.0238817.ref003">3</xref>,<xref ref-type="bibr" rid="pone.0238817.ref004">4</xref>], Yong et al. [<xref ref-type="bibr" rid="pone.0238817.ref005">5</xref>], Wang et al. [<xref ref-type="bibr" rid="pone.0238817.ref006">6</xref>], and Dhasmana et al. [<xref ref-type="bibr" rid="pone.0238817.ref007">7</xref>] found that the bio-oils weakened the stiffness and temperature stability of asphalt binders at high temperatures. Mirhosseini et al. [<xref ref-type="bibr" rid="pone.0238817.ref008">8</xref>] indicated that the high-temperature performance of a bio-asphalt binder could be adversely affected owing to the softening effect of bio-oil. Lei et al. [<xref ref-type="bibr" rid="pone.0238817.ref009">9</xref>,<xref ref-type="bibr" rid="pone.0238817.ref010">10</xref>] demonstrated that at high temperatures, asphalt mastics modified with bio-oils exhibited relatively low rheological performance. Yang et al. [<xref ref-type="bibr" rid="pone.0238817.ref011">11</xref>] and Mohammad et al. [<xref ref-type="bibr" rid="pone.0238817.ref012">12</xref>] discovered that the rutting resistance of a bio-asphalt mixture was not better than that of a base asphalt mixture. Hence, it is important to develop a technology for enhancing the high-temperature performance of bio-oil modified asphalt binders.</p>
<p>In recent years, nanomaterials (i.e., materials with at least one dimension within 1–100 nm) have exhibited novel properties owing to the nature of their large specific surface areas, high surface free energies, and satisfactory dispersion abilities, attracting attention from engineers. These unique properties of nano-materials can provide a bridge between macroscopic materials and molecular structures to improve the mechanical, thermodynamic, and chemical properties of a material. Existing studies show that nano-materials can successfully modify asphalt binders to improve the pavement performance, especially the high-temperature performance [<xref ref-type="bibr" rid="pone.0238817.ref014">14</xref>–<xref ref-type="bibr" rid="pone.0238817.ref025">25</xref>]. Particularly, the effects from the nano-particles are more significant, owing to the much larger surface area per unit mass as a nanomaterial decreases in size. For instance, nano-CaCO<sub>3</sub> particles [<xref ref-type="bibr" rid="pone.0238817.ref014">14</xref>,<xref ref-type="bibr" rid="pone.0238817.ref015">15</xref>], nano-ZnO particles [<xref ref-type="bibr" rid="pone.0238817.ref016">16</xref>,<xref ref-type="bibr" rid="pone.0238817.ref017">17</xref>], nano-TiO<sub>2</sub> particles [<xref ref-type="bibr" rid="pone.0238817.ref018">18</xref>,<xref ref-type="bibr" rid="pone.0238817.ref019">19</xref>]<sub>,</sub> nano-SiO<sub>2</sub> particles [<xref ref-type="bibr" rid="pone.0238817.ref020">20</xref>,<xref ref-type="bibr" rid="pone.0238817.ref021">21</xref>], and nano-Fe<sub>2</sub>O<sub>3</sub> particles [<xref ref-type="bibr" rid="pone.0238817.ref022">22</xref>,<xref ref-type="bibr" rid="pone.0238817.ref023">23</xref>] have been widely investigated for the preparation of nano-modified asphalt binders and have exhibited satisfactory results. It is reasonable to speculate that nano-particles could also be used to improve the high-temperature performance of bio-asphalt binders.</p>
<p>However, there is relatively little literature addressing the relationship between nano-particles and bio-asphalt binders. Thus, this study conducts a series of traditional tests and rolling thin film oven tests (RTFOTs) for different modified asphalt binders with nano-particles to examine their high-temperature performance, low-temperature performance, and aging resistance, and to evaluate the most effective type of nano-particles.</p>
</sec>
<sec id="sec002" sec-type="materials|methods">
<title>Materials and methods</title>
<sec id="sec003">
<title>Materials</title>
<sec id="sec004">
<title>(1) Base asphalt binder</title>
<p>The 70# base asphalt binder (AH-70) manufactured in Shandong Province of China is used in laboratory tests. The technical properties are shown in <xref ref-type="table" rid="pone.0238817.t001">Table 1</xref>.</p>
<table-wrap id="pone.0238817.t001" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t001</object-id>
<label>Table 1</label> <caption><title>Technical properties of the base asphalt binder.</title></caption>
<alternatives>
<graphic id="pone.0238817.t001g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t001" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center">25°C penetration (0.1mm)</th>
<th align="center">Softening point (°C)</th>
<th align="center">10°C ductility (cm)</th>
<th align="center">15°C ductility (cm)</th>
<th align="center">60°C viscosity (Pa.s)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">67.4</td>
<td align="center">47.4</td>
<td align="center">17.2</td>
<td align="center">&gt;100</td>
<td align="center">316</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
</sec>
<sec id="sec005">
<title>(2) Nano-particles</title>
<p>Five types of nano-particles including SiO<sub>2</sub>, CaCO<sub>3</sub>, TiO<sub>2</sub>, Fe<sub>2</sub>O<sub>3</sub>, and ZnO are selected to prepare the modified asphalt binders. The characteristics of the selected nano-particles are listed in <xref ref-type="table" rid="pone.0238817.t002">Table 2</xref>. These nano-particles are provided by Hangzhou Jialu Transportation Technology Co. LTD. The technical properties of modified asphalt binders with different nano-particles are shown in <xref ref-type="table" rid="pone.0238817.t003">Table 3</xref>.</p>
<table-wrap id="pone.0238817.t002" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t002</object-id>
<label>Table 2</label> <caption><title>Particle size and specific surface area of the selected nano-particles.</title></caption>
<alternatives>
<graphic id="pone.0238817.t002g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t002" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center">Type</th>
<th align="center">Particle size (nm)</th>
<th align="center">Specific surface area (m<sup>2</sup>/g)</th>
<th align="center">Volume density (g/cm<sup>3</sup>)</th>
<th align="center">Purity (%)</th>
<th align="center">Appearance</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">SiO<sub>2</sub></td>
<td align="center">15</td>
<td align="center">600</td>
<td align="center">0.21</td>
<td align="center">99.8</td>
<td align="center">White powder</td>
</tr>
<tr>
<td align="center">CaCO<sub>3</sub></td>
<td align="center">30</td>
<td align="center">60</td>
<td align="center">0.68</td>
<td align="center">99.0</td>
<td align="center">White powder</td>
</tr>
<tr>
<td align="center">TiO<sub>2</sub></td>
<td align="center">35</td>
<td align="center">110</td>
<td align="center">0.35</td>
<td align="center">99.9</td>
<td align="center">White powder</td>
</tr>
<tr>
<td align="center">Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">20</td>
<td align="center">210</td>
<td align="center">0.51</td>
<td align="center">99.9</td>
<td align="center">Red powder</td>
</tr>
<tr>
<td align="center">ZnO</td>
<td align="center">30</td>
<td align="center">24</td>
<td align="center">1.30</td>
<td align="center">99.9</td>
<td align="center">White powder</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<table-wrap id="pone.0238817.t003" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t003</object-id>
<label>Table 3</label> <caption><title>Technical properties of modified asphalt binders with different nano-particles.</title></caption>
<alternatives>
<graphic id="pone.0238817.t003g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t003" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="2">Type</th>
<th align="center">25°C penetration (0.1mm)</th>
<th align="center">Softening point (°C)</th>
<th align="center">10°C Ductility (cm)</th>
<th align="center">15°C ductility (cm)</th>
<th align="center">135°C viscosity (Pa·s)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" rowspan="5">AH-70+</td>
<td align="center">1% SiO<sub>2</sub></td>
<td align="center">61.1</td>
<td align="center">55.5</td>
<td align="center">10.6</td>
<td align="center">&gt;100</td>
<td align="center">1.176</td>
</tr>
<tr>
<td align="center">1% CaCO<sub>3</sub></td>
<td align="center">66.2</td>
<td align="center">51.8</td>
<td align="center">12.6</td>
<td align="center">&gt;100</td>
<td align="center">1.064</td>
</tr>
<tr>
<td align="center">1% TiO<sub>2</sub></td>
<td align="center">64.6</td>
<td align="center">52.8</td>
<td align="center">11.9</td>
<td align="center">&gt;100</td>
<td align="center">1.085</td>
</tr>
<tr>
<td align="center">1% Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">62.6</td>
<td align="center">51.9</td>
<td align="center">11.3</td>
<td align="center">&gt;100</td>
<td align="center">1.116</td>
</tr>
<tr>
<td align="center">1% ZnO</td>
<td align="center">64.9</td>
<td align="center">51.5</td>
<td align="center">11.5</td>
<td align="center">&gt;100</td>
<td align="center">1.061</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
</sec>
<sec id="sec006">
<title>(3) Bio-oil</title>
<p>The bio-oil is obtained through the decomposition of saw dust using pyrolysis. The bio-oil is provided by Hangzhou Jialu Transportation Technology Co. LTD. The basic technical parameters are listed in <xref ref-type="table" rid="pone.0238817.t004">Table 4</xref>. The technical properties of bio-asphalt binders are shown in <xref ref-type="table" rid="pone.0238817.t005">Table 5</xref>.</p>
<table-wrap id="pone.0238817.t004" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t004</object-id>
<label>Table 4</label> <caption><title>Technical parameters of the bio-oil.</title></caption>
<alternatives>
<graphic id="pone.0238817.t004g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t004" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="5">Mass fraction of compositions (%)</th>
<th align="center" rowspan="2">Density (g/cm<sup>3</sup>)</th>
<th align="center" rowspan="2">PH</th>
<th align="center" rowspan="2">135°C viscosity (Pa·s)</th>
</tr>
<tr>
<th align="center">C</th>
<th align="center">H</th>
<th align="center">O</th>
<th align="center">N</th>
<th align="center">S</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">48.16</td>
<td align="center">6.62</td>
<td align="center">39.39</td>
<td align="center">0.11</td>
<td align="center">0.97</td>
<td align="center">1.06</td>
<td align="center">2.9</td>
<td align="center">0.826</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<table-wrap id="pone.0238817.t005" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t005</object-id>
<label>Table 5</label> <caption><title>Technical properties of bio-asphalt binders.</title></caption>
<alternatives>
<graphic id="pone.0238817.t005g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t005" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="2">Type</th>
<th align="center">25°C penetration (0.1mm)</th>
<th align="center">Softening point (°C)</th>
<th align="center">5°C ductility (cm)</th>
<th align="center">135°C viscosity (Pa.s)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" rowspan="3">AH-70 +</td>
<td align="center">3% bio-oil</td>
<td align="center">80.7</td>
<td align="center">40.6</td>
<td align="center">21.1</td>
<td align="center">0.531</td>
</tr>
<tr>
<td align="center">5% bio-oil</td>
<td align="center">103.5</td>
<td align="center">37.9</td>
<td align="center">40.6</td>
<td align="center">0.344</td>
</tr>
<tr>
<td align="center">7% bio-oil</td>
<td align="center">--</td>
<td align="center">35.8</td>
<td align="center">55.9</td>
<td align="center">--</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
</sec>
</sec>
<sec id="sec007">
<title>Experimental methods</title>
<p>According to the Chinese technical specification “<italic>Technical specification for construction of highway asphalt pavements (JTG F40-2004)</italic>” [<xref ref-type="bibr" rid="pone.0238817.ref026">26</xref>], the 25°C penetration is used to confirm the grading level of the asphalt binder. The softening point is used to evaluate the high-temperature performance of the asphalt binder. The 5°C ductility is used to evaluate the low-temperature performance of the asphalt binder. The 135°C dynamic viscosity is used to evaluate the workable performance of the asphalt binder, and it must be lower than 3.0 Pa·s. The workable performance refers to the ability of the asphalt binder to mix with aggregates conveniently during the preparation process of asphalt mixture to ensure the uniformity of the asphalt mixture. The mass loss, 25°C residual penetration ratio and 5°C ductility after aging, obtained via RTFOTs, are used to evaluate the aging resistance of the asphalt binder.</p>
<p>The dynamic stability, obtained via rutting test, is used to verify the high-temperature stability of the asphalt mixture. The fracture strain, obtained via bending test at -10°C, is used to verify the low-temperature crack resistance of the asphalt mixture. The residual stability, obtained via immersing Marshall test, is used to verify the water stability of the asphalt mixture. The water stability refers to the ability of the asphalt mixture to resist damages (e.g., loosening and pit slot) from water erosion.</p>
<p>All the tests are conducted in accordance with the Chinese test standard “<italic>Standard test methods of bitumen and bituminous mixtures for highway engineering</italic> (<italic>JTG E20-2011</italic>)” [<xref ref-type="bibr" rid="pone.0238817.ref027">27</xref>].</p>
</sec>
<sec id="sec008">
<title>Preparation of the modified bio-asphalt binders</title>
<p>Based on the principle of dissolution in a similar material structure, it is easy to mix the bio-oil with the base asphalt binder completely. However, owing to the large specific surface area and high surface energy, nano-materials have a great inclination to agglomerate and form secondary particles. This agglomeration behavior causes negative modification effects. Hence, it is necessary to disperse the nanomaterials uniformly to overcome the agglomeration problem. In this study, in accordance with our previous study [<xref ref-type="bibr" rid="pone.0238817.ref028">28</xref>,<xref ref-type="bibr" rid="pone.0238817.ref029">29</xref>], a high-temperature, high-speed shearing method is adopted to address the agglomeration issue.</p>
<p>The modified asphalt binders that use nano-particles and bio-oil are manufactured as follows. The bio-oil and base asphalt binder are mixed, thereby forming the bio-asphalt binder. The total mass of the bio-oil and base asphalt binder is 500 g and is kept constant. Then, the nano-modified bio-asphalt binders are prepared after adding and mixing nano-particles via 10 min of high-speed shearing (5000 r/min) at 120°C.</p>
</sec>
<sec id="sec009">
<title>Pavement properties of modified bio-asphalt binders</title>
<p>The test results of 25°C penetration, softening point, 5°C ductility, and 135°C dynamic viscosity of the different asphalt binders are shown in <xref ref-type="table" rid="pone.0238817.t006">Table 6</xref>.</p>
<table-wrap id="pone.0238817.t006" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t006</object-id>
<label>Table 6</label> <caption><title>Technical properties of different asphalt binders.</title></caption>
<alternatives>
<graphic id="pone.0238817.t006g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t006" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="3">Type</th>
<th align="center">25°C penetration (0.1mm)</th>
<th align="center">Softening point (°C)</th>
<th align="center">5°C ductility (cm)</th>
<th align="center">135°C viscosity (Pa.s)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" colspan="3">AH-70</td>
<td align="center">67.4</td>
<td align="center">47.4</td>
<td align="center">0</td>
<td align="center">0.680</td>
</tr>
<tr>
<td align="center" rowspan="3">AH-70 +</td>
<td align="center" colspan="2">3% bio-oil</td>
<td align="center">80.7</td>
<td align="center">40.6</td>
<td align="center">21.1</td>
<td align="center">0.531</td>
</tr>
<tr>
<td align="center" colspan="2">5% bio-oil</td>
<td align="center">103.5</td>
<td align="center">37.9</td>
<td align="center">40.6</td>
<td align="center">0.344</td>
</tr>
<tr>
<td align="center" colspan="2">7% bio-oil</td>
<td align="center">--</td>
<td align="center">35.8</td>
<td align="center">55.9</td>
<td align="center">--</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">70.1</td>
<td align="center">45.3</td>
<td align="center">16.4</td>
<td align="center">0.579</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">67.1</td>
<td align="center">47.7</td>
<td align="center">15.5</td>
<td align="center">0.638</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">64.6</td>
<td align="center">48.9</td>
<td align="center">14.6</td>
<td align="center">0.671</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">82.8</td>
<td align="center">43.7</td>
<td align="center">30.1</td>
<td align="center">0.568</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">76.7</td>
<td align="center">45.3</td>
<td align="center">24.2</td>
<td align="center">0.630</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">70.1</td>
<td align="center">46.1</td>
<td align="center">19.9</td>
<td align="center">0.645</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">92.1</td>
<td align="center">41.9</td>
<td align="center">43.7</td>
<td align="center">0.398</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">87.6</td>
<td align="center">44.1</td>
<td align="center">38.9</td>
<td align="center">0.462</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">83.8</td>
<td align="center">44.6</td>
<td align="center">35.8</td>
<td align="center">0.484</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">78.2</td>
<td align="center">42.1</td>
<td align="center">17.3</td>
<td align="center">0.546</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">73.1</td>
<td align="center">44.4</td>
<td align="center">16.3</td>
<td align="center">0.602</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">68.7</td>
<td align="center">45.5</td>
<td align="center">15.3</td>
<td align="center">0.633</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">92.4</td>
<td align="center">40.6</td>
<td align="center">32.4</td>
<td align="center">0.536</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">85.6</td>
<td align="center">42.2</td>
<td align="center">26.0</td>
<td align="center">0.594</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">78.2</td>
<td align="center">42.9</td>
<td align="center">21.4</td>
<td align="center">0.608</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">102.8</td>
<td align="center">39.3</td>
<td align="center">46.3</td>
<td align="center">0.375</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">97.8</td>
<td align="center">41.0</td>
<td align="center">41.1</td>
<td align="center">0.436</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">93.5</td>
<td align="center">41.5</td>
<td align="center">37.8</td>
<td align="center">0.456</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">75.7</td>
<td align="center">42.6</td>
<td align="center">15.8</td>
<td align="center">0.565</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">70.6</td>
<td align="center">44.8</td>
<td align="center">14.9</td>
<td align="center">0.623</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">66.5</td>
<td align="center">46.0</td>
<td align="center">14.1</td>
<td align="center">0.655</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">89.4</td>
<td align="center">41.1</td>
<td align="center">28.4</td>
<td align="center">0.554</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">82.8</td>
<td align="center">42.6</td>
<td align="center">22.8</td>
<td align="center">0.615</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">75.7</td>
<td align="center">43.4</td>
<td align="center">18.8</td>
<td align="center">0.630</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">99.5</td>
<td align="center">39.6</td>
<td align="center">41.8</td>
<td align="center">0.388</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">94.6</td>
<td align="center">41.5</td>
<td align="center">37.3</td>
<td align="center">0.451</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">90.5</td>
<td align="center">41.9</td>
<td align="center">34.3</td>
<td align="center">0.472</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">71.2</td>
<td align="center">41.9</td>
<td align="center">16.1</td>
<td align="center">0.570</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">66.1</td>
<td align="center">44.1</td>
<td align="center">15.2</td>
<td align="center">0.628</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">62.5</td>
<td align="center">45.2</td>
<td align="center">14.3</td>
<td align="center">0.660</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">84.0</td>
<td align="center">40.4</td>
<td align="center">29.2</td>
<td align="center">0.559</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">77.9</td>
<td align="center">42.0</td>
<td align="center">23.5</td>
<td align="center">0.620</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">71.2</td>
<td align="center">42.6</td>
<td align="center">19.3</td>
<td align="center">0.635</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">93.5</td>
<td align="center">38.9</td>
<td align="center">42.7</td>
<td align="center">0.392</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">88.9</td>
<td align="center">40.8</td>
<td align="center">38.0</td>
<td align="center">0.455</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">85.1</td>
<td align="center">41.3</td>
<td align="center">35.0</td>
<td align="center">0.476</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">72.6</td>
<td align="center">41.4</td>
<td align="center">16.3</td>
<td align="center">0.544</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">67.6</td>
<td align="center">43.6</td>
<td align="center">15.4</td>
<td align="center">0.600</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">63.8</td>
<td align="center">44.7</td>
<td align="center">14.5</td>
<td align="center">0.631</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">85.8</td>
<td align="center">39.9</td>
<td align="center">29.8</td>
<td align="center">0.534</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">79.5</td>
<td align="center">41.7</td>
<td align="center">24.0</td>
<td align="center">0.592</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">72.6</td>
<td align="center">42.2</td>
<td align="center">19.7</td>
<td align="center">0.606</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">95.4</td>
<td align="center">38.1</td>
<td align="center">43.4</td>
<td align="center">0.374</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">90.8</td>
<td align="center">40.3</td>
<td align="center">38.6</td>
<td align="center">0.434</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">86.8</td>
<td align="center">41.0</td>
<td align="center">35.6</td>
<td align="center">0.455</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<p>As shown in <xref ref-type="table" rid="pone.0238817.t006">Table 6</xref>, it can be found that:</p>
<p><xref ref-type="fig" rid="pone.0238817.g001">Fig 1</xref> displays the trend of 25°C penetration with different nano-particle dosages. The 25°C penetrations of the nano-modified bio-asphalt binders decrease linearly as the nano-particle dosages increase. Moreover, compared to the bio-asphalt binder, the decrease in the 25°C penetration is the most when nano-SiO<sub>2</sub> is used, and is the least when nano-CaCO<sub>3</sub> is used.</p>
<fig id="pone.0238817.g001" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g001</object-id>
<label>Fig 1</label>
<caption>
<title>Trend of 25°C penetration with different nano-particle dosages.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g001" xlink:type="simple"/>
</fig>
<p>The softening points of the nano-modified bio-asphalt binders increase as the nano-particle dosages increase, showing the positive effect of the nano-particles on the high-temperature performance of a bio-asphalt binder. However, the modified effects of different nano-particles become insignificant with the increased nano-particle dosages, particularly when the dosage is larger than 0.5%. The trends tend to flatten with increased nano-particle dosages, and there is less of a difference with a change of the nano-particles. Among the tested five types of nano-particles, nano-SiO<sub>2</sub> has the best modified effect on the softening point and nano-ZnO is the worst. The difference is owing to the difference in the specific surface areas, implying that nano-particles with a higher specific surface area can provide a better modifying effect on the high-temperature performance of nano-modified bio-asphalt binders.</p>
<p>An asphalt binder can be treated as a mix of three types of distributed systems: a matrix phase, dispersed phase, and bee-like structure. The softening point of the asphalt binder increases as the proportion of the matrix phase increases, and the 5°C ductility and 25°C penetration increase as the proportion of the dispersed phase increase [<xref ref-type="bibr" rid="pone.0238817.ref030">30</xref>–<xref ref-type="bibr" rid="pone.0238817.ref035">35</xref>]. Evidently, the proportion of the dispersed phase in the asphalt binder increases with the addition of bio-oil [<xref ref-type="bibr" rid="pone.0238817.ref030">30</xref>]. Hence, the 5°C ductility and 25°C penetration of the bio-asphalt binder increase with an increased proportion of bio-oil, and the softening point decreases accordingly. In addition, owing to the large specific surface area, the nano-particles fuse with the dispersed phase and bee-like structure well [<xref ref-type="bibr" rid="pone.0238817.ref031">31</xref>,<xref ref-type="bibr" rid="pone.0238817.ref032">32</xref>] and accelerate the transformation from the dispersed phase and bee-like structure to the matrix phase [<xref ref-type="bibr" rid="pone.0238817.ref031">31</xref>,<xref ref-type="bibr" rid="pone.0238817.ref033">33</xref>] (particularly for the bee-like structure). This makes the asphalt binder less prone to deformation, softening, and flowing, so that the nano-particles can improve the softening point of the bio-asphalt binder and reduce the 25°C penetration. Moreover, the aforementioned action of the nano-particles is more significant when the specific surface area of nano-particles is increased. Hence, nano-SiO<sub>2</sub> displays the best modification effect for the bio-asphalt binder.</p>
<p><xref ref-type="fig" rid="pone.0238817.g002">Fig 2</xref> displays the trend of softening point with different bio-oil dosages. The softening points of the nano-modified asphalt binders decrease approximately linearly as the bio-oil dosage increases.</p>
<fig id="pone.0238817.g002" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g002</object-id>
<label>Fig 2</label>
<caption>
<title>Trend of softening point with different bio-oil dosages.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g002" xlink:type="simple"/>
</fig>
<p><xref ref-type="fig" rid="pone.0238817.g003">Fig 3</xref> displays the trend of 5°C ductility with different nano-particle dosages. The 5°C ductilities of the nano-modified bio-asphalt binders decrease linearly as the nano-particle dosages increase, indicating the adverse effect of the nano-particles on the low-temperature performance of the bio-asphalt binder. This occurs because the proportion of the dispersed phase of the bio-asphalt decreases with the addition of nano-particles, as previously mentioned.</p>
<fig id="pone.0238817.g003" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g003</object-id>
<label>Fig 3</label>
<caption>
<title>Trend of 5°C ductility with different nano-particle dosages.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g003" xlink:type="simple"/>
</fig>
<p>This trend is not affected by the bio-oil dosage. However, although nano-particles have a disadvantageous effect on the low-temperature performance, the 5°C ductilities of the different nano-modified bio-asphalt binders are evidently better than that of the AH-70, showing the satisfactory low-temperature stability of the nano-modified bio-asphalt binders. Furthermore, the 5°C ductility of the nano-modified bio-asphalt binder using nano-CaCO<sub>3</sub> is the highest, and those using SiO<sub>2</sub> and TiO<sub>2</sub> are the lowest. In addition, the 5°C ductilities of the nano-modified asphalt binders increase as the bio-oil dosage increase, and the trend is more evident with increased bio-oil dosages.</p>
<p>The 135°C dynamic viscosities of the nano-modified bio-asphalt binders increase slightly as the nano-particle dosages increase. However, the 135°C dynamic viscosities among all of the groups of experimental tests are always at a low level (lower than 1.0 Pa·s), meeting the Chinese specifications (≤ 3.0 Pa·s) [<xref ref-type="bibr" rid="pone.0238817.ref026">26</xref>].</p>
</sec>
<sec id="sec010">
<title>RTFOTs for evaluating the anti-aging performance of modified bio-asphalt binders</title>
<p>The mass loss, 25°C residual penetration ratio and 5°C ductility after aging, obtained via RTFOTs, are shown in <xref ref-type="table" rid="pone.0238817.t007">Table 7</xref>.</p>
<table-wrap id="pone.0238817.t007" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t007</object-id>
<label>Table 7</label> <caption><title>Test results of different asphalt binders in RTFOTs.</title></caption>
<alternatives>
<graphic id="pone.0238817.t007g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t007" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="3">Type</th>
<th align="center">Abbreviation</th>
<th align="center">Mass loss (%)</th>
<th align="center">Residual penetration ratio (%)</th>
<th align="center">5°C ductility after aging (cm)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" colspan="3">AH-70</td>
<td align="center">BA</td>
<td align="center">0.66</td>
<td align="center">62.9</td>
<td align="center">0</td>
</tr>
<tr>
<td align="center" rowspan="3">AH-70 +</td>
<td align="center" colspan="2">3% bio-oil</td>
<td align="center">BB-1</td>
<td align="center">0.76</td>
<td align="center">59.1</td>
<td align="center">13.1</td>
</tr>
<tr>
<td align="center" colspan="2">5% bio-oil</td>
<td align="center">BB-2</td>
<td align="center">0.92</td>
<td align="center">51.6</td>
<td align="center">21.7</td>
</tr>
<tr>
<td align="center" colspan="2">7% bio-oil</td>
<td align="center">BB-3</td>
<td align="center">1.11</td>
<td align="center">44.6</td>
<td align="center">26.9</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">BC-1</td>
<td align="center">0.58</td>
<td align="center">68.2</td>
<td align="center">11.1</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">BC-2</td>
<td align="center">0.54</td>
<td align="center">70.2</td>
<td align="center">10.6</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">BC-3</td>
<td align="center">0.52</td>
<td align="center">72.6</td>
<td align="center">10.2</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">BD-1</td>
<td align="center">0.70</td>
<td align="center">62.6</td>
<td align="center">18.9</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">BD-2</td>
<td align="center">0.66</td>
<td align="center">64.8</td>
<td align="center">15.5</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">BD-3</td>
<td align="center">0.66</td>
<td align="center">68.2</td>
<td align="center">13.1</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">BE-1</td>
<td align="center">0.78</td>
<td align="center">56.9</td>
<td align="center">26.6</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">BE-2</td>
<td align="center">0.76</td>
<td align="center">59.6</td>
<td align="center">24.6</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">BE-3</td>
<td align="center">0.72</td>
<td align="center">61.6</td>
<td align="center">23.6</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">BF-1</td>
<td align="center">0.70</td>
<td align="center">60.1</td>
<td align="center">11.1</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">BF-2</td>
<td align="center">0.66</td>
<td align="center">61.2</td>
<td align="center">10.6</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">BF-3</td>
<td align="center">0.62</td>
<td align="center">62.1</td>
<td align="center">10.1</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">BG-1</td>
<td align="center">0.82</td>
<td align="center">55.3</td>
<td align="center">18.2</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">BG-2</td>
<td align="center">0.78</td>
<td align="center">56.9</td>
<td align="center">15.1</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">BG-3</td>
<td align="center">0.76</td>
<td align="center">59.8</td>
<td align="center">12.8</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">BH-1</td>
<td align="center">0.92</td>
<td align="center">48.8</td>
<td align="center">26.6</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">BH-2</td>
<td align="center">0.88</td>
<td align="center">51.5</td>
<td align="center">24.2</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">BH-3</td>
<td align="center">0.80</td>
<td align="center">53.3</td>
<td align="center">22.6</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">BI-1</td>
<td align="center">0.60</td>
<td align="center">66.2</td>
<td align="center">9.8</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">BI-2</td>
<td align="center">0.58</td>
<td align="center">68.3</td>
<td align="center">9.5</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">BI-3</td>
<td align="center">0.56</td>
<td align="center">69.6</td>
<td align="center">9.1</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">BJ-1</td>
<td align="center">0.70</td>
<td align="center">61.0</td>
<td align="center">16.8</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">BJ-2</td>
<td align="center">0.68</td>
<td align="center">64.1</td>
<td align="center">14.0</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">BJ-3</td>
<td align="center">0.64</td>
<td align="center">66.6</td>
<td align="center">11.9</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">BK-1</td>
<td align="center">0.78</td>
<td align="center">57.1</td>
<td align="center">24.8</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">BK-2</td>
<td align="center">0.74</td>
<td align="center">61.2</td>
<td align="center">22.8</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">BK-3</td>
<td align="center">0.72</td>
<td align="center">62.9</td>
<td align="center">21.6</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BL-1</td>
<td align="center">0.56</td>
<td align="center">66.1</td>
<td align="center">10.7</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BL-2</td>
<td align="center">0.54</td>
<td align="center">68.1</td>
<td align="center">10.2</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BL-3</td>
<td align="center">0.54</td>
<td align="center">69.8</td>
<td align="center">9.7</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BM-1</td>
<td align="center">0.72</td>
<td align="center">61.6</td>
<td align="center">18.7</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BM-2</td>
<td align="center">0.70</td>
<td align="center">64.1</td>
<td align="center">15.3</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BM-3</td>
<td align="center">0.66</td>
<td align="center">66.2</td>
<td align="center">13.1</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BN-1</td>
<td align="center">0.80</td>
<td align="center">57.1</td>
<td align="center">27.2</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BN-2</td>
<td align="center">0.76</td>
<td align="center">60.2</td>
<td align="center">24.6</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">BN-3</td>
<td align="center">0.74</td>
<td align="center">62.9</td>
<td align="center">22.9</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">BO-1</td>
<td align="center">0.70</td>
<td align="center">60.1</td>
<td align="center">10.1</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">BO-2</td>
<td align="center">0.66</td>
<td align="center">61.2</td>
<td align="center">9.6</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">BO-3</td>
<td align="center">0.62</td>
<td align="center">62.1</td>
<td align="center">9.2</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">BP-1</td>
<td align="center">0.82</td>
<td align="center">55.3</td>
<td align="center">16.6</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">BP-2</td>
<td align="center">0.78</td>
<td align="center">57.9</td>
<td align="center">13.6</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">BP-3</td>
<td align="center">0.76</td>
<td align="center">59.8</td>
<td align="center">11.3</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">BQ-1</td>
<td align="center">0.92</td>
<td align="center">48.8</td>
<td align="center">24.8</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">BQ-2</td>
<td align="center">0.88</td>
<td align="center">51.5</td>
<td align="center">22.6</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">BQ-3</td>
<td align="center">0.80</td>
<td align="center">53.3</td>
<td align="center">21.1</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<p>As shown in <xref ref-type="table" rid="pone.0238817.t007">Table 7</xref>, with increased nano-particle dosages, the mass losses of the nano-modified bio-asphalt binders decrease linearly and the residual penetration ratios increase accordingly, showing that nano-particles can improve the aging resistance of bio-asphalt binders. The enhancement effects from nano-SiO<sub>2</sub> and nano-Fe<sub>2</sub>O<sub>3</sub> are superior to those of the other nano-particles, and those of nano-CaCO<sub>3</sub> and nano-ZnO are relatively weak. Moreover, after aging of the nano-modified bio-asphalt binders, the 5°C ductilities decrease as the nano-particle dosages increase, which may be owing to the negative effect of the nano-particles on these 5°C ductilities without aging. To explore further the effects of the nano-particles on the 5°C ductilities after aging, the loss ratios for the 5°C ductility ratio are calculated using <xref ref-type="disp-formula" rid="pone.0238817.e001">Eq (1)</xref> and shown in <xref ref-type="fig" rid="pone.0238817.g004">Fig 4</xref>.
<disp-formula id="pone.0238817.e001">
<alternatives>
<graphic id="pone.0238817.e001g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pone.0238817.e001" xlink:type="simple"/>
<mml:math display="block" id="M1">
<mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>a</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mrow><mml:mo>|</mml:mo><mml:mrow><mml:mi>D</mml:mi><mml:mo>−</mml:mo><mml:msup><mml:mi>D</mml:mi><mml:mo>'</mml:mo></mml:msup></mml:mrow><mml:mo>|</mml:mo></mml:mrow><mml:mo>/</mml:mo><mml:mi>D</mml:mi><mml:mo>×</mml:mo><mml:mn>100</mml:mn><mml:mi>%</mml:mi></mml:mrow>
</mml:math>
</alternatives>
<label>(1)</label>
</disp-formula>
Where, <italic>R</italic><sub><italic>a</italic></sub> is the loss ratio of the 5°C ductility, <italic>D</italic> is the 5°C ductility without aging, and <italic>D'</italic> is the 5°C ductility after aging.</p>
<fig id="pone.0238817.g004" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g004</object-id>
<label>Fig 4</label>
<caption>
<title>Loss ratios of the 5°C ductility.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g004" xlink:type="simple"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="pone.0238817.g004">Fig 4</xref>, the loss ratios of the 5°C ductility of the nano-modified bio-asphalt binders decrease as the nano-particle dosages increase, indicating that the nano-particles provide the improved the aging resistance of bio-asphalt binders. This reduction trend of the loss ratio is more evident with increased bio-oil dosages. The above law is the most significant for nano-TiO<sub>2</sub>, and that for ZnO is the most insignificant. Moreover, on the whole, the loss ratios of the nano-modified bio-asphalt binders using nano-SiO<sub>2</sub> are the lowest and those using nano-CaCO<sub>3</sub> are the highest, showing the same law as the mass loss and the residual penetration ratio.</p>
<p>The mechanism of asphalt aging comprises the volatilization and transformation of the dispersed phase under the action of high temperatures and ultraviolet irradiation [<xref ref-type="bibr" rid="pone.0238817.ref034">34</xref>,<xref ref-type="bibr" rid="pone.0238817.ref035">35</xref>]. As previously mentioned, the proportion of the dispersed phase decreases with the addition of the nano-particles; thus the aging resistance of the nano-modified bio-asphalt binder is improved.</p>
</sec>
<sec id="sec011">
<title>Pavement properties of modified asphalt mixtures</title>
<p>The aggregate gradation showed in <xref ref-type="fig" rid="pone.0238817.g005">Fig 5</xref> is used in all types of asphalt mixtures. The dynamic stabilities, fracture strains and residual stabilities of the nano-modified bio-asphalt mixtures are listed in <xref ref-type="table" rid="pone.0238817.t008">Table 8</xref>.</p>
<fig id="pone.0238817.g005" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g005</object-id>
<label>Fig 5</label>
<caption>
<title>Aggregate gradation.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g005" xlink:type="simple"/>
</fig>
<table-wrap id="pone.0238817.t008" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t008</object-id>
<label>Table 8</label> <caption><title>Pavement properties of different asphalt mixtures.</title></caption>
<alternatives>
<graphic id="pone.0238817.t008g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t008" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="3">Type</th>
<th align="center">Dynamic stability (times·mm<sup>-1</sup>)</th>
<th align="center">Fracture strain (<italic>με</italic>)</th>
<th align="center">Residual stability (%)</th>
<th align="center">Tensile strength ratio (%)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" colspan="3">AH-70</td>
<td align="center">2355</td>
<td align="center">1682</td>
<td align="center">86.2</td>
<td align="center">86.3</td>
</tr>
<tr>
<td align="center" rowspan="3">AH-70 +</td>
<td align="center" colspan="2">3% bio-oil</td>
<td align="center">1021</td>
<td align="center">3619</td>
<td align="center">89.4</td>
<td align="center">90.2</td>
</tr>
<tr>
<td align="center" colspan="2">5% bio-oil</td>
<td align="center">862</td>
<td align="center">5135</td>
<td align="center">90.0</td>
<td align="center">90.7</td>
</tr>
<tr>
<td align="center" colspan="2">7% bio-oil</td>
<td align="center">786</td>
<td align="center">6411</td>
<td align="center">89.2</td>
<td align="center">90.1</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">2226</td>
<td align="center">3198</td>
<td align="center">89.8</td>
<td align="center">90.5</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">2344</td>
<td align="center">2945</td>
<td align="center">89.2</td>
<td align="center">90.3</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">2403</td>
<td align="center">2893</td>
<td align="center">88.3</td>
<td align="center">89.4</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">2077</td>
<td align="center">4443</td>
<td align="center">89.0</td>
<td align="center">90.1</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">2177</td>
<td align="center">4166</td>
<td align="center">89.9</td>
<td align="center">90.7</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">2216</td>
<td align="center">4059</td>
<td align="center">88.5</td>
<td align="center">89.3</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">1991</td>
<td align="center">5853</td>
<td align="center">89.9</td>
<td align="center">90.7</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">2167</td>
<td align="center">5519</td>
<td align="center">89.5</td>
<td align="center">90.4</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">2177</td>
<td align="center">5480</td>
<td align="center">89.4</td>
<td align="center">90.3</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">2070</td>
<td align="center">3217</td>
<td align="center">88.1</td>
<td align="center">89.0</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">2180</td>
<td align="center">2963</td>
<td align="center">89.6</td>
<td align="center">90.7</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">2235</td>
<td align="center">2934</td>
<td align="center">88.6</td>
<td align="center">89.8</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">1967</td>
<td align="center">4617</td>
<td align="center">88.4</td>
<td align="center">89.5</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">2024</td>
<td align="center">4359</td>
<td align="center">88.9</td>
<td align="center">90.0</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">2061</td>
<td align="center">4299</td>
<td align="center">88.4</td>
<td align="center">89.6</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%CaCO<sub>3</sub></td>
<td align="center">1866</td>
<td align="center">5900</td>
<td align="center">88.1</td>
<td align="center">89.2</td>
</tr>
<tr>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">2016</td>
<td align="center">5703</td>
<td align="center">88.8</td>
<td align="center">89.8</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">2019</td>
<td align="center">5639</td>
<td align="center">88.4</td>
<td align="center">89.5</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">2092</td>
<td align="center">3015</td>
<td align="center">88.9</td>
<td align="center">90.1</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">2203</td>
<td align="center">2777</td>
<td align="center">88.5</td>
<td align="center">89.3</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">2259</td>
<td align="center">2639</td>
<td align="center">88.7</td>
<td align="center">89.7</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">1989</td>
<td align="center">4243</td>
<td align="center">89.9</td>
<td align="center">90.8</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">2046</td>
<td align="center">3985</td>
<td align="center">88.6</td>
<td align="center">89.6</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">2083</td>
<td align="center">3866</td>
<td align="center">89.9</td>
<td align="center">91.1</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%TiO<sub>2</sub></td>
<td align="center">1909</td>
<td align="center">5653</td>
<td align="center">89.5</td>
<td align="center">90.5</td>
</tr>
<tr>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">2037</td>
<td align="center">5403</td>
<td align="center">88.9</td>
<td align="center">89.8</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">2036</td>
<td align="center">5289</td>
<td align="center">89.5</td>
<td align="center">90.6</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2058</td>
<td align="center">3102</td>
<td align="center">89.1</td>
<td align="center">90.0</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2167</td>
<td align="center">2857</td>
<td align="center">89.0</td>
<td align="center">90.1</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2222</td>
<td align="center">2798</td>
<td align="center">88.9</td>
<td align="center">89.8</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">1946</td>
<td align="center">4340</td>
<td align="center">88.6</td>
<td align="center">89.7</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2013</td>
<td align="center">4054</td>
<td align="center">89.8</td>
<td align="center">90.8</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2049</td>
<td align="center">3998</td>
<td align="center">88.5</td>
<td align="center">89.5</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">1866</td>
<td align="center">5735</td>
<td align="center">89.0</td>
<td align="center">89.9</td>
</tr>
<tr>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2004</td>
<td align="center">5429</td>
<td align="center">89.7</td>
<td align="center">90.6</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">2013</td>
<td align="center">5366</td>
<td align="center">89.0</td>
<td align="center">90.1</td>
</tr>
<tr>
<td align="center" rowspan="9">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">2035</td>
<td align="center">3169</td>
<td align="center">88.4</td>
<td align="center">89.5</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">2142</td>
<td align="center">2951</td>
<td align="center">88.8</td>
<td align="center">89.7</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">2196</td>
<td align="center">2891</td>
<td align="center">88.3</td>
<td align="center">89.3</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">1926</td>
<td align="center">4425</td>
<td align="center">88.3</td>
<td align="center">89.5</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">1990</td>
<td align="center">4177</td>
<td align="center">89.7</td>
<td align="center">90.6</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">2026</td>
<td align="center">4100</td>
<td align="center">89.0</td>
<td align="center">90</td>
</tr>
<tr>
<td align="center" rowspan="3">7%bio-oil +</td>
<td align="center">0.2%ZnO</td>
<td align="center">1844</td>
<td align="center">5841</td>
<td align="center">88.6</td>
<td align="center">89.5</td>
</tr>
<tr>
<td align="center">0.5%ZnO</td>
<td align="center">1981</td>
<td align="center">5593</td>
<td align="center">89.1</td>
<td align="center">90.1</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">1990</td>
<td align="center">5552</td>
<td align="center">88.1</td>
<td align="center">89.3</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<p>As shown in <xref ref-type="table" rid="pone.0238817.t008">Table 8</xref>, it can be found that:</p>
<p>The effects of the five nano-particles on the dynamic stabilities of the nano-modified bio-asphalt mixtures are similar to those on the softening points of the nano-modified bio-asphalt binders. This indicates the positive effect of the five nano-particles on the high-temperature stabilities. To investigate the composite effect of the nano-particles and bio-oil on the high-temperature stability in a through manner, the dynamic stability ratios of the nano-modified bio-asphalt mixtures are calculated using Eq (<xref ref-type="disp-formula" rid="pone.0238817.e002">2</xref>), as shown in <xref ref-type="fig" rid="pone.0238817.g006">Fig 6</xref>. The dynamic stability ratios reflect the strengthening effects of the different nano-particles on the dynamic stability.
<disp-formula id="pone.0238817.e002">
<alternatives>
<graphic id="pone.0238817.e002g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pone.0238817.e002" xlink:type="simple"/>
<mml:math display="block" id="M2">
<mml:mrow><mml:mi>D</mml:mi><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mi>S</mml:mi><mml:mtext>d</mml:mtext></mml:msub></mml:mrow>
</mml:math>
</alternatives>
<label>(2)</label>
</disp-formula>
where, <italic>DR</italic><sub><italic>i</italic></sub> is the dynamic stability ratio of the nano-modified bio-asphalt mixtures with <italic>i</italic>% nano-particles (<italic>i</italic> = 0.2, 0.5 and 0.8), <italic>S</italic><sub><italic>i</italic></sub> is the dynamic stability of the nano-modified bio-asphalt mixtures with <italic>i</italic>% nano-materials, and <italic>S</italic><sub><italic>d</italic></sub> is the dynamic stability of the bio-asphalt mixtures without nano-particles.</p>
<fig id="pone.0238817.g006" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g006</object-id>
<label>Fig 6</label>
<caption>
<title>Dynamic stability ratio.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g006" xlink:type="simple"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="pone.0238817.g006">Fig 6</xref>, the five nano-particles (at the different dosage levels) show a similar trend, i.e., that the strengthening effects on the dynamic stabilities increase linearly as the bio-oil dosage increased. Overall, nano-SiO<sub>2</sub> is the best, and nano-ZnO is the worst (the differences of nano-TiO<sub>2</sub>, nano-CaCO<sub>3</sub>, nano-Fe<sub>2</sub>O<sub>3</sub>, nano-ZnO are limited).</p>
<p>The fracture strains of the nano-modified bio-asphalt mixtures decrease as the nano-particle dosages increase, indicating the adverse effect of the nano-particles on the low-temperature crack resistance. The decreasing trends tend to flatten with increased nano-particle dosages. Moreover, the fracture strains of the nano-modified bio-asphalt mixtures are still evidently higher than those of the base asphalt mixture. To analyze the composite effect of the nano-particles and bio-oil on the low-temperature crack resistance of the nano-modified bio-asphalt mixtures further, the loss ratios of the fracture strains of the nano-modified bio-asphalt mixtures are calculated using Eq (<xref ref-type="disp-formula" rid="pone.0238817.e003">3</xref>), as shown in <xref ref-type="fig" rid="pone.0238817.g007">Fig 7</xref>. The loss ratios reflect the effects of the different nano-particles.
<disp-formula id="pone.0238817.e003">
<alternatives>
<graphic id="pone.0238817.e003g" mimetype="image" position="anchor" xlink:href="info:doi/10.1371/journal.pone.0238817.e003" xlink:type="simple"/>
<mml:math display="block" id="M3">
<mml:mrow><mml:msub><mml:mi>R</mml:mi><mml:mi>i</mml:mi></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mrow><mml:mrow><mml:mo>|</mml:mo><mml:mrow><mml:msubsup><mml:mi>F</mml:mi><mml:mi>i</mml:mi><mml:mo>'</mml:mo></mml:msubsup><mml:mo>−</mml:mo><mml:mi>F</mml:mi></mml:mrow><mml:mo>|</mml:mo></mml:mrow></mml:mrow><mml:mi>F</mml:mi></mml:mfrac><mml:mo>×</mml:mo><mml:mn>100</mml:mn><mml:mi>%</mml:mi></mml:mrow>
</mml:math>
</alternatives>
<label>(3)</label>
</disp-formula>
where, <italic>R</italic><sub><italic>i</italic></sub> is the loss ratio of the fracture strain of the nano-modified bio-asphalt mixtures with <italic>i</italic>% nano-particles (<italic>i</italic> = 0.2, 0.5 and 0.8), <italic>F</italic> is the fracture strain of the bio-asphalt mixtures without nano-particles, and <italic>F</italic><sub><italic>i</italic></sub><italic>'</italic> is the fracture strain of the nano-modified bio-asphalt mixtures with <italic>i</italic>% nano-particles.</p>
<fig id="pone.0238817.g007" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.g007</object-id>
<label>Fig 7</label>
<caption>
<title>Loss ratio of fracture strain.</title>
</caption>
<graphic mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.g007" xlink:type="simple"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="pone.0238817.g007">Fig 7</xref>, the negative effects of the nano-particles on the fracture strain decrease as bio-oil dosages increase. However, the trends of the loss ratios for the five nano-particles are identical. For nano-SiO<sub>2</sub> and nano-CaCO<sub>3</sub>, this trend gradually tends to be linear with an increased bio-oil dosage. For nano-TiO<sub>2</sub>, nano-CaCO<sub>3</sub>, and nano-Fe<sub>2</sub>O<sub>3</sub>, the trend of the loss ratio is not evidently affected by the bio-oil dosage. It is relatively stable when the nano-particle dosage is lower than 0.5%. Overall, the negative effect of nano-SiO<sub>2</sub> is the highest, and that of nano-CaCO<sub>3</sub> is the lowest.</p>
<p>The residual stabilities of the different modified bio-asphalt mixtures are similar to each other but higher than that of the AH-70 base asphalt mixture, indicating the improved modified effectiveness of the nano-particles on the water stability.</p>
<p>The water stabilities of the different modified bio-asphalt mixtures are similar to each other but higher than that of the AH-70 base asphalt mixture, thereby demonstrating the positive modification effect of the asphalt binder on the water stability.</p>
</sec>
<sec id="sec012">
<title>Economic analysis</title>
<p>As previously mentioned, nano-particles can significantly improve the high-temperature performance of a bio-asphalt binder. However, relative to bio-oils and base asphalt binders, nano-particles are expensive. Hence, it is necessary to analyze the cost-effectiveness of a nano-modified bio-asphalt binder via comparison to AH-70. <xref ref-type="table" rid="pone.0238817.t009">Table 9</xref> shows the unit price of AH-70, bio-oil and nano-particles.</p>
<table-wrap id="pone.0238817.t009" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t009</object-id>
<label>Table 9</label> <caption><title>Unit prices (¥/kg) of different materials.</title></caption>
<alternatives>
<graphic id="pone.0238817.t009g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t009" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center">AH-70</th>
<th align="center">Bio-oil</th>
<th align="center">SiO<sub>2</sub></th>
<th align="center">CaCO<sub>3</sub></th>
<th align="center">TiO<sub>2</sub></th>
<th align="center">Fe<sub>2</sub>O<sub>3</sub></th>
<th align="center">ZnO</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center">4.0</td>
<td align="center">1.1</td>
<td align="center">40</td>
<td align="center">20</td>
<td align="center">40</td>
<td align="center">40</td>
<td align="center">30</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<p>As previously mentioned, the low-temperature performances and aging resistances of the nano-modified bio-asphalt binders are much higher than those of the AH-70, while the softening points have less difference. Moreover, according to the Chinese technical specification [<xref ref-type="bibr" rid="pone.0238817.ref026">26</xref>], the softening point of AH-70 must be higher than 43°C. Hence, we calculate the costs of nano-modified bio-asphalt binders whose softening points are higher than 43°C, as shown in <xref ref-type="table" rid="pone.0238817.t010">Table 10</xref>. “¥” refers to Chinese Yuan (CNY).</p>
<table-wrap id="pone.0238817.t010" position="float">
<object-id pub-id-type="doi">10.1371/journal.pone.0238817.t010</object-id>
<label>Table 10</label> <caption><title>Cost of the nano-modified bio-asphalt binder.</title></caption>
<alternatives>
<graphic id="pone.0238817.t010g" mimetype="image" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.t010" xlink:type="simple"/>
<table>
<colgroup>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
<col align="left" valign="middle"/>
</colgroup>
<thead>
<tr>
<th align="center" colspan="3">Type</th>
<th align="center">Cost (¥/kg)</th>
</tr>
<tr>
<th align="center" colspan="3">AH-70</th>
<th align="center">4.00</th>
</tr>
</thead>
<tbody>
<tr>
<td align="center" rowspan="8">AH-70 +</td>
<td align="center" rowspan="3">3%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">3.99</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">4.11</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">4.23</td>
</tr>
<tr>
<td align="center" rowspan="3">5%bio-oil +</td>
<td align="center">0.2%SiO<sub>2</sub></td>
<td align="center">3.94</td>
</tr>
<tr>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">4.06</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">4.18</td>
</tr>
<tr>
<td align="center" rowspan="2">7%bio-oil +</td>
<td align="center">0.5%SiO<sub>2</sub></td>
<td align="center">4.00</td>
</tr>
<tr>
<td align="center">0.8%SiO<sub>2</sub></td>
<td align="center">4.12</td>
</tr>
<tr>
<td align="center" rowspan="2">AH-70 +</td>
<td align="center" rowspan="2">3%bio-oil +</td>
<td align="center">0.5%CaCO<sub>3</sub></td>
<td align="center">4.01</td>
</tr>
<tr>
<td align="center">0.8%CaCO<sub>3</sub></td>
<td align="center">4.07</td>
</tr>
<tr>
<td align="center" rowspan="3">AH-70 +</td>
<td align="center" rowspan="2">3%bio-oil +</td>
<td align="center">0.5%TiO<sub>2</sub></td>
<td align="center">4.11</td>
</tr>
<tr>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">4.23</td>
</tr>
<tr>
<td align="center">5%bio-oil +</td>
<td align="center">0.8%TiO<sub>2</sub></td>
<td align="center">4.18</td>
</tr>
<tr>
<td align="center" rowspan="2">AH-70 +</td>
<td align="center" rowspan="2">3%bio-oil +</td>
<td align="center">0.5%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">4.11</td>
</tr>
<tr>
<td align="center">0.8%Fe<sub>2</sub>O<sub>3</sub></td>
<td align="center">4.23</td>
</tr>
<tr>
<td align="center" rowspan="2">AH-70 +</td>
<td align="center" rowspan="2">3%bio-oil +</td>
<td align="center">0.5%ZnO</td>
<td align="center">4.06</td>
</tr>
<tr>
<td align="center">0.8%ZnO</td>
<td align="center">4.15</td>
</tr>
</tbody>
</table>
</alternatives>
</table-wrap>
<p>As shown in <xref ref-type="table" rid="pone.0238817.t010">Table 10</xref>, compared to the AH-70, the cost of the nano-modified bio-asphalt binder is increased by 2.62% on average. Considering the improved low-temperature performance and aging resistance, it is reasonable to speculate that the nano-modified bio-asphalt binders present acceptable cost-effectiveness.</p>
</sec>
<sec id="sec013" sec-type="conclusions">
<title>Conclusions</title>
<p>To evaluate the modifying effects of nano-particles on bio-asphalt binders, the pavement performances and aging resistances of modified bio-asphalt binders with nano-SiO<sub>2</sub>, nano-TiO<sub>2</sub>, nano-CaCO<sub>3</sub>, nano-Fe<sub>2</sub>O<sub>3</sub>, and nano-ZnO are investigated in this study.</p>
<p>The high-temperature performances and aging resistances of the nano-modified bio-asphalt binders and mixtures are improved with increased nano-particle dosages, particularly for nano-SiO<sub>2</sub>. The modifying effect of nano-ZnO on the high-temperature performance and the modifying effect of nano-CaCO<sub>3</sub> on the aging resistance are relatively weak.</p>
<p>The low-temperature performance of the nano-modified bio-asphalt is slightly weakened as compared to a bio-asphalt without nano-particles. The trends from nano-SiO<sub>2</sub> and nano-CaCO<sub>3</sub> are more sensitive than those of other nano-particles.</p>
<p>The effects of the nano-particles on the workable performance and water stability of modified bio-asphalt are insignificant.</p>
</sec>
</sec>
<sec id="sec014">
<title>Supporting information</title>
<supplementary-material id="pone.0238817.s001" mimetype="application/msword" position="float" xlink:href="info:doi/10.1371/journal.pone.0238817.s001" xlink:type="simple">
<label>S1 File</label>
<caption>
<title>Data.</title>
<p>This file includes all the test data of the asphalt binders and asphalt mixtures.</p>
<p>(DOC)</p>
</caption>
</supplementary-material>
</sec>
</body>
<back>
<ack>
<p>We would like to thank Dr. Lin Zhang for his helpful suggestions. We also would like to thank Editage (<ext-link ext-link-type="uri" xlink:href="http://www.editage.cn/" xlink:type="simple">www.editage.cn</ext-link>) for English language editing.</p>
</ack>
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