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A fiber-reinforced mesoscale constitutive model of tympanic membrane considering anisotropic deformation
The tympanic membrane (TM), located at the end of the ear canal, is a collagenous multi-layer soft tissue membrane with fibers highly aligned in radial and circumferential orientations. This unique multi-layer fiber ultrastructure makes TM’s mechanical behavior display both anisotropy and nonlineari...
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| Published in: | Acta mechanica Sinica 2024-05, Vol.40 (5), Article 623590 |
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| container_title | Acta mechanica Sinica |
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| creator | Xiang, Shuyi Du, Zhibo Shi, Huibin Yan, Ziming Sun, Yongtao Wang, Jie Liu, Zhanli |
| description | The tympanic membrane (TM), located at the end of the ear canal, is a collagenous multi-layer soft tissue membrane with fibers highly aligned in radial and circumferential orientations. This unique multi-layer fiber ultrastructure makes TM’s mechanical behavior display both anisotropy and nonlinearity, which is important in sound transmission. However, the constitutive model of TM which includes both features has not been proposed. In this study, we develop a fiber-reinforced mesoscale constitutive model of TM which captures both anisotropic and nonlinear elastic mechanical behaviors. The TM is considered a continuum fiber-reinforced composite with two families of collagen fibers. Its overall properties are built up by integrating its heterogeneous material properties through the thickness. The homogenized mechanical properties are assumed to be uniformly distributed through TM’s thickness and superposed by three uncoupled elastic contributions of radial collagen fibers, circumferential collagen fibers, and an equivalent isotropic matrix. The model is calibrated using literature data through the inverse method. Simulation results indicate that specific collagen fibers alignment is responsible for the significant spatial and directional variation of deformation of the TM strip. With the appropriate strength criteria related to fiber deformation, the anisotropic localized failure mode of the TM strip observed in the experiment can be captured. The nonlinear nature and rotation of collagen fiber bundles are the origin of the nonlinear mechanical behavior of TM strips under uniaxial loading. The mesoscale constitutive model offers a different perspective on TM’s anisotropic and nonlinear elastic mechanical behavior. This research improves our understanding of the mechanical behavior of the TM and could help biomimetic graft development. |
| doi_str_mv | 10.1007/s10409-024-23590-x |
| format | article |
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This unique multi-layer fiber ultrastructure makes TM’s mechanical behavior display both anisotropy and nonlinearity, which is important in sound transmission. However, the constitutive model of TM which includes both features has not been proposed. In this study, we develop a fiber-reinforced mesoscale constitutive model of TM which captures both anisotropic and nonlinear elastic mechanical behaviors. The TM is considered a continuum fiber-reinforced composite with two families of collagen fibers. Its overall properties are built up by integrating its heterogeneous material properties through the thickness. The homogenized mechanical properties are assumed to be uniformly distributed through TM’s thickness and superposed by three uncoupled elastic contributions of radial collagen fibers, circumferential collagen fibers, and an equivalent isotropic matrix. The model is calibrated using literature data through the inverse method. Simulation results indicate that specific collagen fibers alignment is responsible for the significant spatial and directional variation of deformation of the TM strip. With the appropriate strength criteria related to fiber deformation, the anisotropic localized failure mode of the TM strip observed in the experiment can be captured. The nonlinear nature and rotation of collagen fiber bundles are the origin of the nonlinear mechanical behavior of TM strips under uniaxial loading. The mesoscale constitutive model offers a different perspective on TM’s anisotropic and nonlinear elastic mechanical behavior. This research improves our understanding of the mechanical behavior of the TM and could help biomimetic graft development.</description><edition>English ed.</edition><identifier>ISSN: 0567-7718</identifier><identifier>EISSN: 1614-3116</identifier><identifier>DOI: 10.1007/s10409-024-23590-x</identifier><language>eng</language><publisher>Beijing: The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences</publisher><subject>Biomimetics ; Classical and Continuum Physics ; Collagen ; Computational Intelligence ; Constitutive models ; Deformation ; Ear ; Eardrum ; Elastic anisotropy ; Engineering ; Engineering Fluid Dynamics ; Failure modes ; Fiber composites ; Fibers ; Inverse method ; Material properties ; Mathematical models ; Mechanical properties ; Membranes ; Mesoscale phenomena ; Multilayers ; Nonlinearity ; Research Paper ; Soft tissues ; Sound transmission ; Strip ; Theoretical and Applied Mechanics ; Thickness</subject><ispartof>Acta mechanica Sinica, 2024-05, Vol.40 (5), Article 623590</ispartof><rights>The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2024</rights><rights>The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH Germany, part of Springer Nature 2024.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-b7d4336312f40863e810947438322de5e3bce5c14ba0a91627331ff1c6739a483</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>315,783,787,27938,27939</link.rule.ids></links><search><creatorcontrib>Xiang, Shuyi</creatorcontrib><creatorcontrib>Du, Zhibo</creatorcontrib><creatorcontrib>Shi, Huibin</creatorcontrib><creatorcontrib>Yan, Ziming</creatorcontrib><creatorcontrib>Sun, Yongtao</creatorcontrib><creatorcontrib>Wang, Jie</creatorcontrib><creatorcontrib>Liu, Zhanli</creatorcontrib><title>A fiber-reinforced mesoscale constitutive model of tympanic membrane considering anisotropic deformation</title><title>Acta mechanica Sinica</title><addtitle>Acta Mech. Sin</addtitle><description>The tympanic membrane (TM), located at the end of the ear canal, is a collagenous multi-layer soft tissue membrane with fibers highly aligned in radial and circumferential orientations. This unique multi-layer fiber ultrastructure makes TM’s mechanical behavior display both anisotropy and nonlinearity, which is important in sound transmission. However, the constitutive model of TM which includes both features has not been proposed. In this study, we develop a fiber-reinforced mesoscale constitutive model of TM which captures both anisotropic and nonlinear elastic mechanical behaviors. The TM is considered a continuum fiber-reinforced composite with two families of collagen fibers. Its overall properties are built up by integrating its heterogeneous material properties through the thickness. The homogenized mechanical properties are assumed to be uniformly distributed through TM’s thickness and superposed by three uncoupled elastic contributions of radial collagen fibers, circumferential collagen fibers, and an equivalent isotropic matrix. The model is calibrated using literature data through the inverse method. Simulation results indicate that specific collagen fibers alignment is responsible for the significant spatial and directional variation of deformation of the TM strip. With the appropriate strength criteria related to fiber deformation, the anisotropic localized failure mode of the TM strip observed in the experiment can be captured. The nonlinear nature and rotation of collagen fiber bundles are the origin of the nonlinear mechanical behavior of TM strips under uniaxial loading. The mesoscale constitutive model offers a different perspective on TM’s anisotropic and nonlinear elastic mechanical behavior. This research improves our understanding of the mechanical behavior of the TM and could help biomimetic graft development.</description><subject>Biomimetics</subject><subject>Classical and Continuum Physics</subject><subject>Collagen</subject><subject>Computational Intelligence</subject><subject>Constitutive models</subject><subject>Deformation</subject><subject>Ear</subject><subject>Eardrum</subject><subject>Elastic anisotropy</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Failure modes</subject><subject>Fiber composites</subject><subject>Fibers</subject><subject>Inverse method</subject><subject>Material properties</subject><subject>Mathematical models</subject><subject>Mechanical properties</subject><subject>Membranes</subject><subject>Mesoscale phenomena</subject><subject>Multilayers</subject><subject>Nonlinearity</subject><subject>Research Paper</subject><subject>Soft tissues</subject><subject>Sound transmission</subject><subject>Strip</subject><subject>Theoretical and Applied Mechanics</subject><subject>Thickness</subject><issn>0567-7718</issn><issn>1614-3116</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNp9kD1PwzAQhi0EEqXwB5giMRt8PjdOxqriS6rEArPlOBdw1cTBTlH770kJEhvTDfe87-kexq5B3IIQ-i6BUKLkQioucVEKvj9hM8hBcQTIT9lMLHLNtYbinF2ktBECc9AwYx_LrPEVRR7Jd02IjuqspRSSs1vKXOjS4Ifd4L8oa0NN2yw02XBoe9t5N4JtFW03cb6m6Lv3bNykMMTQj0BNY2VrBx-6S3bW2G2iq985Z28P96-rJ75-eXxeLdfcSS0GXulaIeYIslGiyJEKEKXSCguUsqYFYeVo4UBVVtgScqkRoWnA5RpLqwqcs5upt4_hc0dpMJuwi9140qBQhVYSZTlScqJcDClFakwffWvjwYAwR6NmMmpGo-bHqNmPIZxCqT9-SvGv-p_UNzrves8</recordid><startdate>20240501</startdate><enddate>20240501</enddate><creator>Xiang, Shuyi</creator><creator>Du, Zhibo</creator><creator>Shi, Huibin</creator><creator>Yan, Ziming</creator><creator>Sun, Yongtao</creator><creator>Wang, Jie</creator><creator>Liu, Zhanli</creator><general>The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20240501</creationdate><title>A fiber-reinforced mesoscale constitutive model of tympanic membrane considering anisotropic deformation</title><author>Xiang, Shuyi ; Du, Zhibo ; Shi, Huibin ; Yan, Ziming ; Sun, Yongtao ; Wang, Jie ; Liu, Zhanli</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-b7d4336312f40863e810947438322de5e3bce5c14ba0a91627331ff1c6739a483</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Biomimetics</topic><topic>Classical and Continuum Physics</topic><topic>Collagen</topic><topic>Computational Intelligence</topic><topic>Constitutive models</topic><topic>Deformation</topic><topic>Ear</topic><topic>Eardrum</topic><topic>Elastic anisotropy</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Failure modes</topic><topic>Fiber composites</topic><topic>Fibers</topic><topic>Inverse method</topic><topic>Material properties</topic><topic>Mathematical models</topic><topic>Mechanical properties</topic><topic>Membranes</topic><topic>Mesoscale phenomena</topic><topic>Multilayers</topic><topic>Nonlinearity</topic><topic>Research Paper</topic><topic>Soft tissues</topic><topic>Sound transmission</topic><topic>Strip</topic><topic>Theoretical and Applied Mechanics</topic><topic>Thickness</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Xiang, Shuyi</creatorcontrib><creatorcontrib>Du, Zhibo</creatorcontrib><creatorcontrib>Shi, Huibin</creatorcontrib><creatorcontrib>Yan, Ziming</creatorcontrib><creatorcontrib>Sun, Yongtao</creatorcontrib><creatorcontrib>Wang, Jie</creatorcontrib><creatorcontrib>Liu, Zhanli</creatorcontrib><collection>CrossRef</collection><jtitle>Acta mechanica Sinica</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Xiang, Shuyi</au><au>Du, Zhibo</au><au>Shi, Huibin</au><au>Yan, Ziming</au><au>Sun, Yongtao</au><au>Wang, Jie</au><au>Liu, Zhanli</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A fiber-reinforced mesoscale constitutive model of tympanic membrane considering anisotropic deformation</atitle><jtitle>Acta mechanica Sinica</jtitle><stitle>Acta Mech. Sin</stitle><date>2024-05-01</date><risdate>2024</risdate><volume>40</volume><issue>5</issue><artnum>623590</artnum><issn>0567-7718</issn><eissn>1614-3116</eissn><abstract>The tympanic membrane (TM), located at the end of the ear canal, is a collagenous multi-layer soft tissue membrane with fibers highly aligned in radial and circumferential orientations. This unique multi-layer fiber ultrastructure makes TM’s mechanical behavior display both anisotropy and nonlinearity, which is important in sound transmission. However, the constitutive model of TM which includes both features has not been proposed. In this study, we develop a fiber-reinforced mesoscale constitutive model of TM which captures both anisotropic and nonlinear elastic mechanical behaviors. The TM is considered a continuum fiber-reinforced composite with two families of collagen fibers. Its overall properties are built up by integrating its heterogeneous material properties through the thickness. The homogenized mechanical properties are assumed to be uniformly distributed through TM’s thickness and superposed by three uncoupled elastic contributions of radial collagen fibers, circumferential collagen fibers, and an equivalent isotropic matrix. The model is calibrated using literature data through the inverse method. Simulation results indicate that specific collagen fibers alignment is responsible for the significant spatial and directional variation of deformation of the TM strip. With the appropriate strength criteria related to fiber deformation, the anisotropic localized failure mode of the TM strip observed in the experiment can be captured. The nonlinear nature and rotation of collagen fiber bundles are the origin of the nonlinear mechanical behavior of TM strips under uniaxial loading. The mesoscale constitutive model offers a different perspective on TM’s anisotropic and nonlinear elastic mechanical behavior. This research improves our understanding of the mechanical behavior of the TM and could help biomimetic graft development.</abstract><cop>Beijing</cop><pub>The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences</pub><doi>10.1007/s10409-024-23590-x</doi><edition>English ed.</edition></addata></record> |
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| subjects | Biomimetics Classical and Continuum Physics Collagen Computational Intelligence Constitutive models Deformation Ear Eardrum Elastic anisotropy Engineering Engineering Fluid Dynamics Failure modes Fiber composites Fibers Inverse method Material properties Mathematical models Mechanical properties Membranes Mesoscale phenomena Multilayers Nonlinearity Research Paper Soft tissues Sound transmission Strip Theoretical and Applied Mechanics Thickness |
| title | A fiber-reinforced mesoscale constitutive model of tympanic membrane considering anisotropic deformation |
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