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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Future Transp.</journal-id>
<journal-title>Frontiers in Future Transportation</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Future Transp.</abbrev-journal-title>
<issn pub-type="epub">2673-5210</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">890776</article-id>
<article-id pub-id-type="doi">10.3389/ffutr.2022.890776</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Future Transportation</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Injury study of the 6-year-old pediatric thorax and abdomen in frontal sled tests using different computational models</article-title>
<alt-title alt-title-type="left-running-head">Li et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/ffutr.2022.890776">10.3389/ffutr.2022.890776</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Li</surname>
<given-names>Haiyan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Lv</surname>
<given-names>Wenle</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1706483/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hyn&#x10d;&#xed;k</surname>
<given-names>Lud&#x11b;k</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1710415/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhou</surname>
<given-names>Bingbing</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Zhao</surname>
<given-names>Hongqian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1555918/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cui</surname>
<given-names>Shihai</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>He</surname>
<given-names>Lijuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ruan</surname>
<given-names>Shijie</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Tianjin University of Science and Technology</institution>, <addr-line>Tianjin</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>University of West Bohemia</institution>, <addr-line>Pilsen</addr-line>, <country>Czechia</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Tianjin Quadrant Space Science and Technology Company, Limited</institution>, <addr-line>Tianjin</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1302122/overview">Robert Thomson</ext-link>, Chalmers University of Technology, Sweden</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1400286/overview">Jie Wang</ext-link>, Changsha University of Science and Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1369234/overview">Di Pan</ext-link>, Xiamen University, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1102180/overview">Yong Han</ext-link>, Xiamen University of Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1776420/overview">Bengt Pipkorn</ext-link>, Autoliv, Sweden</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1788310/overview">Chengyue Jiang</ext-link>, Chongqing University of Technology, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Wenle Lv, <email>lvwenle@tust.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Transport Safety, a section of the journal Frontiers in Future Transportation</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>09</day>
<month>09</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>3</volume>
<elocation-id>890776</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>03</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>07</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Li, Lv, Hyn&#x10d;&#xed;k, Zhou, Zhao, Cui, He and Ruan.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Li, Lv, Hyn&#x10d;&#xed;k, Zhou, Zhao, Cui, He and Ruan</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>The correct use of a child restraint system (CRS) is an effective internationally recognized measure to protect the safety of child occupants which can reduce the probability of child road traffic accident deaths by 54&#x2013;80%. Finite element (FE) analysis is one important method with which to study the protection of child occupants. The aim of this study was to investigate thoracic and abdominal injuries and the protective effect of CRS on child occupants in 6-year-old (6YO) children in a frontal sled test using different computational models. In this study, a verified FE model of a 6YO child occupant was placed in the FE model of a CRS with a three-point safety belt. In the simulation setup phase, the frontal sled simulation of the 6YO FE model was reconstructed by applying the AAMA pulse. Based on the simulation data of the Q6 dummy FE model (Q6) and the 6YO child Virthuman model (V6) from previous studies, the frontal sled test simulation of a verified 6YO child FE model with detailed anatomical structures (TUST IBMs 6YO) was carried out to analyze pediatric thorax and abdomen injuries under the same experimental conditions. According to the simulation results, the variation tendencies of the simulation responses such as chest acceleration and compression are consistent with each other, which can provide effective information for the design of a CRS. In addition, the simulation results of the TUST IBMs 6YO can provide a variety of simulation data, such as the maximum first principal strain value and nephogram, of the internal organs of the chest and abdomen, providing a theoretical basis for the performance analysis and later development of a CRS.</p>
</abstract>
<kwd-group>
<kwd>child seat</kwd>
<kwd>occupant kinematics</kwd>
<kwd>frontal impact</kwd>
<kwd>chest and abdominal injury</kwd>
<kwd>finite element</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">European Regional Development Fund<named-content content-type="fundref-id">10.13039/501100008530</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Cars have become a necessity for most families, and the use of CRS is gradually attracting the attention of young parents nowadays. Use of child dummies in sled tests is becoming more and more widespread in the later verification process of CRS design in spite of the limitations of the low recycling rate of dummies and large testing costs for enterprises. In addition to child dummies, multibody system (MBS) models are also widely used in CRS verification, while a child FE model with a detailed anatomy can better reflect the performance of the CRS, greatly reduce the costs of testing using numerical simulation, and be recycled during product development and upgrading.</p>
<p>
<xref ref-type="bibr" rid="B34">Ma&#x148;as et al. (2012)</xref> introduced the kinematic response and verification process of an MBS human model in a collision and explained its advantages and importance. Two kinds of MBS models, EUROSID 2 (fine model) and USSID (rough model), were introduced by <xref ref-type="bibr" rid="B10">Franz and Graf, 2000</xref>, where the materials were described in detail. A new type of CRS was introduced, and the performance of the seat model under the conditions of a frontal collision was studied by <xref ref-type="bibr" rid="B5">Cao et al. (2010)</xref>, where it was shown that the seat can effectively protect children aged 3 and 6 years. In the study by <xref ref-type="bibr" rid="B15">Huang et al. (2016)</xref>, it was found that the head displacement of the child MBS model was not sensitive to the waveform, but the pulse shape had a greater impact on the head and chest accelerations.</p>
<p>CRS research in developed countries in Europe and America started earlier, and the technology was more mature than that in China. Sled tests of 3- and 6-year-old children with a three-point safety belt and CRS were conducted in <xref ref-type="bibr" rid="B3">Beauchamp et al., 2005</xref>. With regard to the improvement of new test methods for CRS, <xref ref-type="bibr" rid="B49">Trosseille et al. (2001)</xref> studied the knowledge about child behavior and tolerance in the CREST project and put forward a new test procedure to determine the effectiveness of instrumentation. <xref ref-type="bibr" rid="B19">Jager et al., 2005</xref> introduced earlier the feasibility of Q dummy series models in frontal impacts. <xref ref-type="bibr" rid="B9">Eggers et al. (2015)</xref> evaluated the safety of child occupants in the rear seats of vehicles through Q6 and Q10 dummies and concluded that the Q6 thorax was greatly affected by geometric parameters such as the safety belt and that the Q6 dummy can more truly reflect the injury mechanism of the thorax. <xref ref-type="bibr" rid="B4">Beillas et al. (2014)</xref> concluded that an upper deflection sensor can better evaluate the chest injury of the Q6 dummy by comparing the injury of the Q6 dummy with that of the FE model. <xref ref-type="bibr" rid="B24">Kim et al. (2014)</xref> conducted a sled test with the Economic Commission for Europe Regulation 129 (ECE R129) standard seat and Q6 child dummy seat and concluded that the safety belt anchor point can affect child injuries. <xref ref-type="bibr" rid="B56">Zhang et al. (2021)</xref> studied the effect of the belt restraint path on child occupant injury by reconstructing a sled test with a Q6 dummy model, and the simulation results showed that an optimized seat belt restraint path can effectively enhance the safety of child occupants. <xref ref-type="bibr" rid="B33">Maheshwari et al. (2019)</xref> compared and analyzed the responses of a Q6 child occupant FE model restrained in three types of CRS conditions on the FMVSS 213 test bench.</p>
<p>In terms of research into child chest injury, <xref ref-type="bibr" rid="B40">Ouyang et al. (2006)</xref> studied children in different age groups in frontal impact experiments. Due to the limitations of cadaver experiments, the researchers studied injury by developing FE models for simulation analysis. A 3-year-old child chest and abdomen FE model for the injury study was built by scaling the adult FE model based on measurements and statistics in <xref ref-type="bibr" rid="B36">Mizuno et al. (2005)</xref>. Another method of model construction was to construct the chest and abdomen FE models with the actual human anatomical structures based on human computed tomography (CT) images. A detailed 10-year-old child chest FE model was developed and verified by reconstructing of a static loading experiment by <xref ref-type="bibr" rid="B21">Jiang. (2013)</xref>. <xref ref-type="bibr" rid="B30">Lv et al. (2015)</xref> constructed a complete FE model of a 6-year-old (6YO) child pedestrian (FEM6) with detailed anatomical structures and verified it by reconstructing experiments and studying chest injury in lateral impacts, laying the foundation for the follow-up research of CRS. All these studies showed that a high biofidelic child FE model, which was scarce for 6YO child occupants, was a more realistic and reliable method for assessing child safety protection and injury. Therefore, it is necessary to investigate the effect of CRS on child injury with an intact 6YO occupant FE model, which has a realistic and detailed anatomical structure.</p>
<p>The present paper aims to study 6YO pediatric occupant thorax and abdomen injuries in terms of acceleration, deflection, and force utilizing a verified TUST IBMs 6YO in frontal sled simulations, which compares the results with those from the Q6 and V6 models obtained from Hyncik et al.&#x2019;s study (2014) and the protective effect of CRS on child occupants. The first principal strain is regarded as an evaluation index to predict the injury of internal organs.</p>
</sec>
<sec id="s2">
<title>2 Model construction and simulation setup</title>
<p>The child biomechanical dummy is represented by the validated Q6 model (as reference); therefore, the comparison to this model corresponds to the comparison to the child dummy. Based on the numerical simulations of the Q6 dummy FE model and the V6 MBS model (<xref ref-type="bibr" rid="B17">Hyncik et al., 2014</xref>), the frontal sled test simulation of the verified TUST IBMs 6YO was carried out under the same experimental conditions.</p>
<sec id="s2-1">
<title>2.1 6-year-old child model</title>
<p>The TUST IBMs 6YO adopted in this paper conforms to the 50th percentile of the 6YO children&#x2019;s standard Human dimensions for Chinese minors, GB/T26158. The model is 1135&#xa0;mm in height, 23.9&#xa0;kg in weight, 207.4&#xa0;mm in chest width, 130.7&#xa0;mm in chest thickness, and 573.8&#xa0;mm in chest circumference, as shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Dimensions of the 6YO child in this paper and the international standard.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="left">6YO child FE model</th>
<th align="left">6YO child in the 50th percentile</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Height (mm)</td>
<td align="left">1135</td>
<td align="left">1113</td>
</tr>
<tr>
<td align="left">Mass (kg)</td>
<td align="left">23.9</td>
<td align="left">18.9</td>
</tr>
<tr>
<td align="left">Chest width (mm)</td>
<td align="left">207.4</td>
<td align="left">216</td>
</tr>
<tr>
<td align="left">Chest thickness (mm)</td>
<td align="left">130.7</td>
<td align="left">147</td>
</tr>
<tr>
<td align="left">Chest circumference (mm)</td>
<td align="left">573.8</td>
<td align="left">598</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The construction process for the child finite element model is as follows: first, the geometric model was extracted in Mimics 10.01 software by using the threshold segmentation method based on CT images of a 6YO child. The seated posture of the geometric model was obtained by rotating each part according to the seat angle. Then the geometric model was smoothed and divided into patches to obtain a patch model by using Geomagic 8.0. Finally, the FE model was constructed based on the geometric model by using Truegrid v2.1.0 and Hypermesh 12.0. In the FE model, cancellous bone, internal organs, muscle, fat, the spinal cord, cartilage, intervertebral discs, and other tissues were modeled by a hexahedral solid element, while cortical bone, ligament, skin, and the end plate were modeled by a shell element. The vertebral body was connected with the intervertebral disc by common nodes, which was the same for the connection between bone and muscle, skin, and fat. The contact between viscera and bone and different viscerae was defined as the surface&#x2013;surface contact. The detailed construction process of the pediatric FE model is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Construction process of pediatric FE model.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g001.tif"/>
</fig>
<p>The material properties used in the 6YO child FE model were obtained from the literature (<xref ref-type="bibr" rid="B50">Untaroiu et al., 2005</xref>; <xref ref-type="bibr" rid="B57">Zhao and Norwani, 2007</xref>; <xref ref-type="bibr" rid="B20">Jiang et al., 2012</xref>; <xref ref-type="bibr" rid="B30">Lv et al., 2015</xref>; <xref ref-type="bibr" rid="B29">Lv WL. et al., 2016</xref>; <xref ref-type="bibr" rid="B27">Li et al., 2017a</xref>) and obtained by scaling adult material properties, which are summarized in <xref ref-type="sec" rid="s10">Supplementary Appendix SA</xref> by <xref ref-type="bibr" rid="B26">Li et al. (2020)</xref>. It should be noted that the scaling factor was obtained based on the existing child and adult tissue material parameters. The validity of the 6YO child FE model was verified by reconstructing several cadaver experiments (see <xref ref-type="sec" rid="s10">Supplementary Appendix SB</xref>), and the simulation results were in good agreement with the experimental data, which indicated that this scaling method was feasible and reasonable to obtain child material under current conditions.</p>
<p>The number of elements in the thorax and abdomen of TUST IBMs 6YO is 236,507. The model includes internal organs, skeletal tissues, muscles, ligaments, skin, and fat, as shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, which had been verified through the reconstruction of frontal impacts at different velocities (<xref ref-type="bibr" rid="B40">Ouyang et al., 2006</xref>; <xref ref-type="bibr" rid="B38">Ouyang et al., 2015</xref>) and lateral impact experiments at several angles (<xref ref-type="bibr" rid="B46">Shaw et al., 2006</xref>; <xref ref-type="bibr" rid="B53">Viano et al., 1989</xref>) in the literature (frontal impacts: <xref ref-type="bibr" rid="B30">Lv et al., 2015</xref>; <xref ref-type="bibr" rid="B8">Cui et al., 2016</xref>; lateral impacts: <xref ref-type="bibr" rid="B31">Lv et al., 2016b</xref>). Detailed information of the 6YO child FE model validation at the sub-model level is summarized in <xref ref-type="sec" rid="s10">Supplementary Appendix SB</xref> by <xref ref-type="bibr" rid="B26">Li et al. (2020)</xref>.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>FE models of chest and abdomen of TUST IBMs 6YO including bones and internal organs (left) and muscle (right).</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g002.tif"/>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure 3</xref> shows the <xref ref-type="bibr" rid="B45">Q6 child dummy model., 2013</xref>, the V6 child Virthuman model, and the TUST IBMs 6YO. The weight of the Q6 dummy is 22.98&#xa0;kg, and the height is 1143&#xa0;mm. The V6 child Virthuman model has a height of 1140&#xa0;mm and a weight of 19&#xa0;kg, which was obtained by scaling an adult model according to the relevant database of 6&#x2013;7-year-old child heights (<xref ref-type="bibr" rid="B17">Hyncik et al., 2014</xref>).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Q6 child dummy model (left). V6 child Virthuman model (middle) and TUST IBMs 6YO (right).</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g003.tif"/>
</fig>
<p>The V6 child takes a step forward in human body modeling. V6 is a child human body model developed from an adult human body model (<xref ref-type="bibr" rid="B54">Vychytil et al., 2014</xref>) by a scaling algorithm based on actual anthropometric data (<xref ref-type="bibr" rid="B16">Hyncik et al., 2013</xref>). Both the geometry and stiffness are scaled to reconstruct a 6YO child&#x2019;s biomechanical properties. The model has been previously validated (<xref ref-type="bibr" rid="B16">Hyncik et al., 2013</xref>, <xref ref-type="bibr" rid="B17">2014</xref>).</p>
<p>The TUST IBMs 6YO model was a finite element model of a 6YO child with detailed anatomical structures based on CT data. The V6 model was a special hybrid model that benefits from combining the MBS approach with deformable elements to enable injury assessment for a variety of impacts. The Q6 model was a full finite element model developed by Humanetics (2013), including inner and outer segments as a virtual copy of the physical Q6 child dummy, which was validated to correspond to the Q6 physical dummy response (Humanetics, 2013).</p>
<p>Body size is an important parameter for collision analysis, and the body sizes are shown in <xref ref-type="table" rid="T2">Table 2</xref>. The corresponding relationship can be effectively analyzed by body size. According to the size data of the three child models, each model has its own characteristics. The child FE model has a lower shoulder width, while other data correspond to each other.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Model data for the 6YO child.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="left">Q6</th>
<th align="left">V6</th>
<th align="left">TUST IBMs 6YO</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Sitting height (mm)</td>
<td align="left">601</td>
<td align="left">653</td>
<td align="left">671</td>
</tr>
<tr>
<td align="left">Shoulder height (mm)</td>
<td align="left">362</td>
<td align="left">395</td>
<td align="left">372</td>
</tr>
<tr>
<td align="left">Shoulder width (mm)</td>
<td align="left">305</td>
<td align="left">262</td>
<td align="left">217</td>
</tr>
<tr>
<td align="left">Chest depth (mm)</td>
<td align="left">141</td>
<td align="left">180</td>
<td align="left">172</td>
</tr>
<tr>
<td align="left">Hip width (mm)</td>
<td align="left">223</td>
<td align="left">200</td>
<td align="left">229</td>
</tr>
<tr>
<td align="left">Buttocks to knee (mm)</td>
<td align="left">366</td>
<td align="left">350</td>
<td align="left">315</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s2-2">
<title>2.2 Safety seat FE model</title>
<p>In this paper, the FE model of CRS was built based on the geometric model of a child safety seat currently on the market using the pre-processing software HyperMesh 12.0. It consists of 1,231,296 elements, 32,570 shell elements, and 1,198,726 solid elements. The majority of the safety seat components were modeled by solid elements. The contact (&#x2a;SYMMETRIC NODE-TO-SEGMENT WITH EDGE TREATMENT) in Pam-Crash software was used to model the boundary condition between the safety seat back portion and vehicle seat. The majority of the safety seat body was modeled as plastic material, while the padding was modeled as foam material. Furthermore, the three-point safety belt for a vehicle is built for the CRS, which is made of elastic isotropic material.</p>
</sec>
<sec id="s2-3">
<title>2.3 Simulation setup</title>
<p>The frontal sled simulation of the 6YO FE model was reconstructed by loading with the American Automobile Manufacturers Association (AAMA) pulse (<xref ref-type="bibr" rid="B10">Franz and Graf, 2000</xref>) (see <xref ref-type="fig" rid="F4">Figure 4</xref>) in Virtual Performance Solutions 8.0. The simulation setup of the 6YO FE model was consistent with those of Q6 and V6 model simulations.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Frontal sled-AAMA sled pulse (the reproduce of the curve has been approved by the author Hyncik).</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g004.tif"/>
</fig>
<p>The sled consists of an ECE R16 seat. The sled and the seat models are taken from previous studies (<xref ref-type="bibr" rid="B17">Hyncik et al., 2014</xref>). The model is positioned in the seat, and a sliding contact interface (&#x2a;SYMETRIC NODE-TO-SEGMENT WITH EDGE TREATMENT) is defined between the body and the seat. A three-point belt system is developed to model a C-pillar mounted belt restraint system. The simulation setups of the virtual 6YO child model and FE model are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>V6 (left) and TUST IBMs 6YO (right) in the frontal sled simulations (the reproduce of the Figure about V6 has been approved by the author Hyncik).</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g005.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<p>The thorax acceleration, thorax deflection, shoulder belt force, and lap belt force curves obtained from the simulation results are compared with the corresponding curves of Q6 and V6 obtained from Hyncik et al.&#x2019;s study (<xref ref-type="bibr" rid="B17">Hyncik et al., 2014</xref>), as shown in <xref ref-type="fig" rid="F6">Figure 6</xref>, <xref ref-type="fig" rid="F7">Figure 7</xref>, <xref ref-type="fig" rid="F8">Figure 8</xref>, and <xref ref-type="fig" rid="F9">Figure 9</xref>, and the reproduction of the curves was approved by the author Hyncik.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Thorax acceleration curves in frontal sled simulations.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Thorax deflection curves in frontal sled simulations.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g007.tif"/>
</fig>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Shoulder belt force curves in frontal sled simulations.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Lap belt force curves in frontal sled simulations.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g009.tif"/>
</fig>
<p>From <xref ref-type="fig" rid="F6">Figures 6</xref>&#x2013;<xref ref-type="fig" rid="F9">9</xref> and <xref ref-type="table" rid="T3">Table 3</xref>, it can be seen that there are two obvious peaks in the thorax acceleration curves of TUST IBMs 6YO, Q6, and V6, particularly 21.56&#xa0;g/23.86 g, 21.52&#xa0;g/27 g, and 23&#xa0;g/18.51 g, respectively, while the maximum thorax accelerations are 23.86, 27, and 23&#xa0;g, respectively. The variation tendency of the thorax acceleration curve of TUST IBMs 6YO agrees with those by <xref ref-type="bibr" rid="B13">Han et al. (2017)</xref> and <xref ref-type="bibr" rid="B42">Peng (2017)</xref>, where simulations with a total human model for safety 3-year-old (THUMS 3YO) child FE model showed greater maximum thorax accelerations (<xref ref-type="bibr" rid="B13">Han et al., 2017</xref>). Possible reasons for the difference in maximum thorax acceleration could be associated with body weight and soft tissue energy absorption levels.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Maximum values for TUST IBMs 6YO, V6, and Q6.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="left">TUST IBMs 6YO</th>
<th align="left">V6</th>
<th align="left">Q6</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Maximum thorax acceleration (g)</td>
<td align="left">23.86</td>
<td align="left">23</td>
<td align="left">27</td>
</tr>
<tr>
<td align="left">Maximum thorax deflection (mm)</td>
<td align="left">21.58</td>
<td align="left">21</td>
<td align="left">14</td>
</tr>
<tr>
<td align="left">Maximum shoulder belt force (kN)</td>
<td align="left">1.91</td>
<td align="left">2.53</td>
<td align="left">2.48</td>
</tr>
<tr>
<td align="left">Maximum lap belt force (kN)</td>
<td align="left">2.36</td>
<td align="left">1.77</td>
<td align="left">1.96</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>According to the variation tendencies of thorax deflection curves of TUST IBMs 6YO, Q6, and V6, there are two obvious peaks of 17.05&#xa0;mm/21.58 mm, 14&#xa0;mm/13, and 19.72&#xa0;mm/21&#xa0;mm in the corresponding curves, respectively. The maximum thorax deflections are 21.58, 14, and 21&#xa0;mm in TUST IBMs 6YO, Q6, and V6, respectively. The maximum shoulder/lap belt forces of TUST IBMs 6YO, Q6, and V6 are 1.91&#xa0;kN/2.36 kN, 2.48&#xa0;kN/1.96, and 2.53&#xa0;kN/1.77 kN, respectively. The maximum shoulder/lap belt load values of TUST IBMs 6YO (1.91&#xa0;kN/2.36&#xa0;kN) were much greater than those from low-speed, non-injurious frontal sled tests, which were conducted using male human volunteers with the sled acceleration pulse by <xref ref-type="bibr" rid="B2">Arbogast et al. (2009)</xref>. The variation tendencies of shoulder/lap belt force curves of TUST IBMs 6YO agree well with those by <xref ref-type="bibr" rid="B12">Giordano et al. (2017)</xref>, where simulations with the position and personalize advanced human body models for injury prediction (PIPER) scalable child model showed a greater maximum shoulder/lap belt force, and possible reasons could be associated with the muscle modeling method. The TUST IBMs 6YO thoracoabdominal muscle models with detailed anatomical structures were constructed based on the CT data of a 6YO child, which could better simulate the geometric characteristics and the direction of force transmission of the muscles, rather than using an equivalent muscle like that in the PIPER scalable child model.</p>
<p>The variation tendencies of the thorax acceleration, thorax deflection, shoulder belt force, and lap belt force curves of TUST IBMs 6YO are in good agreement with the corresponding curves of Q6 and V6. In addition, the difference between TUST IBMs 6YO, Q6, and V6 in acceleration and deflection in the thorax is caused by the different thorax structure of the models. The different response to the safety belt in the unloading stage of the thoracoabdominal contact force is caused by the impact of the simple seat model used in V6 during the unloading stage.</p>
<p>It can be seen from <xref ref-type="fig" rid="F7">Figure 7</xref> that the thorax deflections of TUST IBMs 6YO and V6 are greater than those of Q6, which is caused by the high thorax stiffness of Q6. <xref ref-type="fig" rid="F8">Figures 8</xref>, <xref ref-type="fig" rid="F9">9</xref> show that the maximum shoulder belt force of TUST IBMs 6YO is smaller than those of V6 and Q6, while the opposite is true for the lap belt force. The reason for the different simulation results of the three models is due to the different structure and geometry of the models. From <xref ref-type="fig" rid="F7">Figures 7</xref>, <xref ref-type="fig" rid="F8">8</xref>, the value of thorax deflection of TUST IBMs 6YO was close to that of V6, while the value of shoulder belt force of TUST IBMs 6YO was smaller than that of V6 in the time interval 0&#x2013;100&#xa0;ms, which indicated that the thorax total stiffness of TUST IBMs 6YO was smaller than that of V6. It can also be seen that the thorax total stiffness of V6 was greater than that of Q6.</p>
<p>The thorax injury indexes include the viscosity criterion (V&#x2a;C) and abbreviated injury scale (AIS). The V&#x2a;C value represents the change rate of chest deformation relative to time (see <xref ref-type="disp-formula" rid="e1">Eq. 1</xref>), which is used to evaluate the damage to chest soft tissue.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msup>
<mml:mi>V</mml:mi>
<mml:mo>&#x2217;</mml:mo>
</mml:msup>
<mml:mi>C</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>V</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mrow>
<mml:mo>[</mml:mo>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mfrac>
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mi>b</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Here, <italic>D(t)</italic> is the time function of chest compression and <italic>b</italic> is the initial chest thickness.</p>
<p>The correlation between (V&#x2a;C)max and chest injury has been investigated in thoracic impact experiments with human cadavers in the literature (<xref ref-type="bibr" rid="B52">Viano, 1989</xref>; <xref ref-type="bibr" rid="B6">Cavanaugh et al., 1993</xref>; <xref ref-type="bibr" rid="B43">Pintar et al., 1997</xref>), which provides data support for the prediction of chest injury. Therefore, (V&#x2a;C)max is used as an index to evaluate chest injury in this article. The chest injury threshold (VC)max of lateral impacts was obtained from <xref ref-type="bibr" rid="B18">Ivarsson et al.&#x2019;s (2004)</xref> study, and the relationship between injury threshold (VC)max of frontal impacts and lateral impacts was obtained from <xref ref-type="bibr" rid="B53">Viano et al.&#x2019;s (1989)</xref> study. The chest and abdomen injury thresholds of frontal impacts are shown in <xref ref-type="table" rid="T4">Table 4</xref>.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>Detailed information of injury threshold of the 6YO child.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="left">Chest (VC)<sub>max</sub>
</th>
<th align="left">Abdomen (VC)<sub>max</sub>
</th>
<th align="left">Abdomen F<sub>max</sub>C<sub>max</sub>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Scale factor</td>
<td align="left">0.6562<sup>1/2</sup>
</td>
<td align="left">0.6562<sup>1/2</sup>
</td>
<td align="left">0.642<sup>2</sup> &#xd7; 0.6562</td>
</tr>
<tr>
<td align="left">Adult injury threshold</td>
<td align="left">1.3 (m/s)</td>
<td align="left">1.4 (m/s)</td>
<td align="left">1540 (N)</td>
</tr>
<tr>
<td align="left">Injury threshold of the 6YO child</td>
<td align="left">1.053 (m/s)</td>
<td align="left">1.134 (m/s)</td>
<td align="left">417 (N)</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The injury level formula is the relationship between the AIS and compression ratio of the chest and abdomen obtained by <xref ref-type="bibr" rid="B53">Viano et al. (1989)</xref>, as shown in <xref ref-type="disp-formula" rid="e2">Eq. 2</xref>, where C is the chest compression index, which refers to the ratio between chest compression and chest thickness.<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>3.78</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>19.56</mml:mn>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>The ratio between the AIS of a 6YO child and the compression of the chest and abdomen is obtained according to the height ratio between children and adults as follows in <xref ref-type="disp-formula" rid="e3">Eq. 3</xref>.<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mi>A</mml:mi>
<mml:mi>I</mml:mi>
<mml:mi>S</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2.48</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mn>12.71</mml:mn>
<mml:mi>C</mml:mi>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The deformation rate, V&#x2a;C, FmaxCmax of the thorax and abdomen, the trunk angle, and the maximum first principal strain of internal organs are obtained from the frontal sled simulation, as shown in <xref ref-type="fig" rid="F10">Figure 10</xref>, <xref ref-type="fig" rid="F11">Figure 11</xref>, <xref ref-type="fig" rid="F12">Figure 12</xref>, <xref ref-type="fig" rid="F13">Figure 13</xref>, and <xref ref-type="fig" rid="F14">Figure 14</xref>. In addition, <xref ref-type="table" rid="T5">Table 5</xref> shows the injury parameters of the thorax and abdomen for TUST IBMs 6YO.</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>Thorax and abdomen deformation rate curves of TUST IBMs 6YO.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g010.tif"/>
</fig>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>Thorax and abdomen V&#x2a;C curves of TUST IBMs 6YO.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g011.tif"/>
</fig>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>Maximum first principal strain diagrams of internal organs in TUST IBMs 6YO.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g012.tif"/>
</fig>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>Maximum first principal strains of internal organs for TUST IBMs 6YO.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g013.tif"/>
</fig>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>Trunk angle curve of TUST IBMs 6YO.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g014.tif"/>
</fig>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>Injury parameters of the thorax and abdomen for TUST IBMs 6YO.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameter</th>
<th align="left">TUST IBMs 6YO</th>
<th align="left">Injury Threshold</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Chest (V<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>C)max (m/s)</td>
<td align="left">0.169</td>
<td align="left">1.053<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">Abdominal (V<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>C)max (m/s)</td>
<td align="left">0.06</td>
<td align="left">1.134<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
</tr>
<tr>
<td align="left">Chest AIS</td>
<td align="left">0.925</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">Abdominal AIS</td>
<td align="left">0</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">Chest compression rate (%)</td>
<td align="left">26.97</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">Abdominal compression rate (%)</td>
<td align="left">11.49</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">Chest FmaxCmax (N)</td>
<td align="left">514.05</td>
<td align="left">-</td>
</tr>
<tr>
<td align="left">Abdominal FmaxCmax (N)</td>
<td align="left">242.63</td>
<td align="left">417&#x2a;&#x2a;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>a</label>
<p>significant level: 0.01 &#x2a;&#x2a; significant level: 0.04.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>From <xref ref-type="fig" rid="F10">Figure 10</xref> and <xref ref-type="table" rid="T5">Table 5</xref>, it can be seen that the maximum deformation rates of the chest and abdomen of TUST IBMs 6YO are 26.97 and 11.49%, respectively. According to <xref ref-type="disp-formula" rid="e3">Eq. 3</xref>, the thorax AIS of TUST IBMs 6YO is 0.925 with the maximum deformation rate of the chest 26.97%, which indicates that the child injury is mild in the frontal sled simulation. The maximum V&#x2a;C values of the thorax and abdomen of TUST IBMs 6YO are 0.169 and 0.06, respectively, which do not reach the corresponding injury thresholds of 1.053 and 1.134, while the probability of AIS 4&#x2b; is 25% (<xref ref-type="bibr" rid="B18">Ivarsson et al., 2004</xref>), which indicates that the thorax and abdomen of TUST IBMs 6YO have a higher probability of slight or no injury. From <xref ref-type="fig" rid="F10">Figures 10</xref>, <xref ref-type="fig" rid="F11">11</xref>, the maximum deformation rate and V&#x2a;C values of the thorax are greater than those of the abdomen due to the difference in the effect of the seat belt on the thorax and abdomen.</p>
<p>The injury thresholds of the first principal strain of heart contusion and laceration were defined in this paper as 30% and 62.6 &#xb1; 6.9%, respectively, according to <xref ref-type="bibr" rid="B55">Yamada&#x2019;s (1970)</xref> study. The maximum first principal strain of the lungs (28.4%) was used to reflect pulmonary contusion, which was obtained by combining experiment and FE simulation results by <xref ref-type="bibr" rid="B11">Gayzik (2008)</xref>. From <xref ref-type="fig" rid="F12">Figures 12</xref>, <xref ref-type="fig" rid="F13">13</xref>, it is known that the maximum first principal strain of the heart is 11.8% at 68&#xa0;ms, which is caused by the compression of the heart, sternum, and the fourth and fifth ribs under the seat belt. By comparing the maximum first principal strain and injury threshold of the heart, the result shows that there are no contusions or lacerations in the heart. The maximum first principal strain of the lungs is 20.2% at 38&#xa0;ms, which does not reach the injury threshold (28.4%), and indicates that no pulmonary contusion occurred. The pressure of the safety belt is large during the motion process, which can easily cause lung damage from the ribs. Therefore, the safety belt cushion should be added in the safety belt design, which can effectively reduce the damage to the lungs. The distributions of the first principal strain in the heart and lungs are consistent with those in the study by <xref ref-type="bibr" rid="B48">Tang (2018)</xref>, where simulations with the THUMS 3YO occupant model showed a larger first principal strain, and possible reasons could be associated with the element type and boundary definition type. The heart and lungs in TUST IBMs 6YO were constructed using a hexahedral solid element rather than a tetrahedral solid element like that in the THUMS model. The boundary condition of the heart and lungs in TUST IBMs 6YO was defined as surface to surface contact, which could better simulate the actual boundary conditions, rather than using shared boundary node setting like that in the THUMS model. The tolerance value of the first principal strain of the liver was defined in this paper as 30% according to <xref ref-type="bibr" rid="B35">Melvin et al.&#x2019;s (1973)</xref> study. The maximum first principal strain values of the liver, spleen, and kidney are 10.8% (at 38&#xa0;ms), 38.39% (at 76&#xa0;ms), and 12.9% (at 54&#xa0;ms), respectively. The maximum first principal strain of the liver is smaller than the corresponding injury threshold, which indicates no injury to the liver. The maximum first principal strain values of the liver and kidneys are due to the extrusion of the liver/kidney and the stomach, while the maximum first principal strain of the spleen appears on account of the contact of the ribs with the spleen and the diaphragm under the action of the safety belt, see <xref ref-type="sec" rid="s10">Supplementary Appendix SC</xref>. It can be seen from the data that the injury risks to internal organs of children such as the heart, lungs, liver, and kidneys during the kinematic response are lower, indicating that these organs are better protected than the spleen.</p>
<p>The definition of the trunk angle is the angle between the line of the hip joint and shoulder joint and the horizontal. From <xref ref-type="fig" rid="F14">Figure 14</xref>, the maximum trunk angles are 108.51&#xb0; and 110.67&#xb0;. The greater the change in trunk angle, the more obvious the submarining trend, which represents a higher injury risk of the child&#x2019;s abdomen due to the compression of internal organs after the lap belt slipped over the iliac crests, which is consistent with the study by <xref ref-type="bibr" rid="B1">Adomeit and Heger, 1975</xref>. The abdomen is easily injured at 66 and 138&#xa0;ms.</p>
<p>The FmaxCmax injury parameter value is a comprehensive injury evaluation index, which is obtained from the product of the maximum contact force between the thorax and the seat belt and the thorax compression ratio. The thorax injury risk increases with the increase of the FmaxCmax value. The experimental analysis by <xref ref-type="bibr" rid="B51">Untaroiu et al. (2012)</xref> shows that FmaxCmax and the intrusion speed of children&#x2019;s safety belts are the best indices to predict injury. <xref ref-type="fig" rid="F15">Figure 15</xref> shows the variation tendency of FmaxCmax of TUST IBMs 6YO. The maximum FmaxCmax value of the abdomen 240.63&#xa0;N is smaller than the corresponding injury threshold 417&#xa0;N obtained from <xref ref-type="table" rid="T5">Table 5</xref>, which indicates that there is no probability of AIS 4 &#x2b; abdominal injury. The FmaxCmax value of the chest is greater than that of the abdomen in the time interval of 35&#x2013;140&#xa0;ms.</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>Thorax and abdomen FmaxCmax for TUST IBMs 6YO.</p>
</caption>
<graphic xlink:href="ffutr-03-890776-g015.tif"/>
</fig>
<p>There are a few limitations to the study: 1) the study focuses on the specific topic of a 6YO thorax and abdomen comparison in a frontal sled test simulation. Future work could address thorax and abdomen injuries in lateral impact simulation. 2) Most of the material parameters of TUST IBMs 6YO are obtained by scaling those of the adult, which will be continuously updated as technology develops. 3) Injury thresholds for children were obtained by scaling the adult injury thresholds, which need to be further verified in future studies.</p>
</sec>
<sec id="s4">
<title>4 Conclusion</title>
<p>The paper demonstrates that the variation tendency of thorax acceleration, the intrusion of the thorax safety belt, and the shoulder/lap belt force in Q6, V6, and TUST IBMs 6YO are consistent with each other. The thorax total stiffness of the Q6, V6, and TUST IBMs 6YO models shows a decreasing trend. According to the injury index of the TUST IBMs 6YO in the motion process, it can be seen that the injury risks of the thorax and abdomen are relatively high at 80&#xa0;ms, and better emergency measures should be provided to better protect the thorax and abdomen and reduce the injury. In addition, the child safety seat should be improved, addressing the injuries of the thorax and abdomen to achieve the best protection. The paper shows the greater advantages of the simulation output data of the child FE model with detailed anatomical structures to better reflect the performance of the child safety seat and provide more specific data for improving the CRS.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The original contributions presented in the study are included in the article/<xref ref-type="sec" rid="s10">Supplementary Material</xref>; further inquiries can be directed to the corresponding authors.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>The author&#x2019;s contributions are as follows: HL was in charge of the whole trial; WL, LH, and BZ wrote the manuscript; HZ, SC, LH, and SR assisted with simulation calculation and analyses.</p>
</sec>
<sec id="s7">
<title>Funding</title>
<p>This work was supported by the National Natural Science Foundation of China (Grant No. 81471274, 81,371,360, and 81,201,015) and by the European Regional Development Fund-Project &#x201c;Application of Modern Technologies in Medicine and Industry&#x201d; (Fund No.CZ.02.1.01/0.0/0.0/17_048/0,007,280).</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>Author BZ was employed by Quadrant Space Science and Technology Company, Limited.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article or claim that may be made by its manufacturer is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec id="s10">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/ffutr.2022.890776/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/ffutr.2022.890776/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.docx" id="SM1" mimetype="application/docx" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<sec id="s11">
<title>Abbreviations</title>
<p>AAMA, American Automobile Manufacturers Association; AIS, abbreviated injury scale; CRS, child restraint system; CT, computed tomography; ECER129, Economic Commission for Europe Regulation; FE, finite element; TUST IBMs 6YO, 6YO child FE model with detailed anatomical structures developed by Tianjin University of Science and Technology; HIC, head injury criterion; MBS, multibody system; PIPER, position and personalize advanced human body models for injury prediction; Q6, Q6 child dummy FE model; THUMS 3YO, total human model for safety 3-year-old; V6, virtual 6YO child model developed by automatic scaling; VC, viscous criterion.</p>
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