Muscle Constitutive Model With a Tangent Modulus Approximation: Ansys Implementation and Verification
Sophisticated muscle material models are required to perform detailed finite element simulations of soft tissue; however, state-of-the-art muscle models are not among the built-in materials in popular commercial finite element software packages. Implementing user-defined muscle material models is ch...
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Veröffentlicht in: | Journal of biomechanical engineering 2023-07, Vol.145 (7) |
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creator | Sampaio de Oliveira, Manuel Lucas Uchida, Thomas K. |
description | Sophisticated muscle material models are required to perform detailed finite element simulations of soft tissue; however, state-of-the-art muscle models are not among the built-in materials in popular commercial finite element software packages. Implementing user-defined muscle material models is challenging for two reasons: deriving the tangent modulus tensor for a material with a complex strain energy function is tedious and programing the algorithm to compute it is error-prone. These challenges hinder widespread use of such models in software that employs implicit, nonlinear, Newton-type finite element methods. We implement a muscle material model in Ansys using an approximation of the tangent modulus, which simplifies its derivation and implementation. Three test models were constructed by revolving a rectangle (RR), a right trapezoid (RTR), and a generic obtuse trapezoid (RTO) around the muscle's centerline. A displacement was applied to one end of each muscle, holding the other end fixed. The results were validated against analogous simulations in FEBio, which uses the same muscle model but with the exact tangent modulus. Overall, good agreement was found between our Ansys and FEBio simulations, though some noticeable discrepancies were observed. For the elements along the muscle's centerline, the root-mean-square-percentage error in the Von Mises stress was 0.00%, 3.03%, and 6.75% for the RR, RTR, and RTO models, respectively; similar errors in longitudinal strain were observed. We provide our Ansys implementation so that others can reproduce and extend our results. |
doi_str_mv | 10.1115/1.4056948 |
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Implementing user-defined muscle material models is challenging for two reasons: deriving the tangent modulus tensor for a material with a complex strain energy function is tedious and programing the algorithm to compute it is error-prone. These challenges hinder widespread use of such models in software that employs implicit, nonlinear, Newton-type finite element methods. We implement a muscle material model in Ansys using an approximation of the tangent modulus, which simplifies its derivation and implementation. Three test models were constructed by revolving a rectangle (RR), a right trapezoid (RTR), and a generic obtuse trapezoid (RTO) around the muscle's centerline. A displacement was applied to one end of each muscle, holding the other end fixed. The results were validated against analogous simulations in FEBio, which uses the same muscle model but with the exact tangent modulus. Overall, good agreement was found between our Ansys and FEBio simulations, though some noticeable discrepancies were observed. For the elements along the muscle's centerline, the root-mean-square-percentage error in the Von Mises stress was 0.00%, 3.03%, and 6.75% for the RR, RTR, and RTO models, respectively; similar errors in longitudinal strain were observed. 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Implementing user-defined muscle material models is challenging for two reasons: deriving the tangent modulus tensor for a material with a complex strain energy function is tedious and programing the algorithm to compute it is error-prone. These challenges hinder widespread use of such models in software that employs implicit, nonlinear, Newton-type finite element methods. We implement a muscle material model in Ansys using an approximation of the tangent modulus, which simplifies its derivation and implementation. Three test models were constructed by revolving a rectangle (RR), a right trapezoid (RTR), and a generic obtuse trapezoid (RTO) around the muscle's centerline. A displacement was applied to one end of each muscle, holding the other end fixed. The results were validated against analogous simulations in FEBio, which uses the same muscle model but with the exact tangent modulus. Overall, good agreement was found between our Ansys and FEBio simulations, though some noticeable discrepancies were observed. For the elements along the muscle's centerline, the root-mean-square-percentage error in the Von Mises stress was 0.00%, 3.03%, and 6.75% for the RR, RTR, and RTO models, respectively; similar errors in longitudinal strain were observed. We provide our Ansys implementation so that others can reproduce and extend our results.</description><subject>Computer Simulation</subject><subject>Elastic Modulus - physiology</subject><subject>Finite Element Analysis</subject><subject>Models, Biological</subject><subject>Muscles</subject><subject>Software</subject><subject>Stress, Mechanical</subject><issn>0148-0731</issn><issn>1528-8951</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNo9kDtPwzAUhS0EoqUwsCPkEYYUX8eObbaq4lGpFUuBMXKSG0iVR4kdRP896QOmKx19-nTPIeQS2BgA5B2MBZOREfqIDEFyHWgj4ZgMGQgdMBXCgJw5t2IMQAt2SgZhpJkWkRwSXHQuLZFOm9r5wne--Ea6aDIs6XvhP6mlS1t_YO23YVd2jk7W67b5KSrri6a-p5PabRydVesSqx7bpdTWGX3DtsiLdBeck5Pclg4vDndEXh8fltPnYP7yNJtO5oHlUeQDbVluBIico-Ccg46yJOQmQaO0ZEkmc82sUMASo7I0zTRLI1TIQHGFEJpwRG723v7Frw6dj6vCpViWtsamczFXShsVKoAevd2jads412Ier9u-VLuJgcXbVWOID6v27PVB2yUVZv_k34w9cLUHrKswXjVdW_c1e400kVThLyLMex4</recordid><startdate>20230701</startdate><enddate>20230701</enddate><creator>Sampaio de Oliveira, Manuel Lucas</creator><creator>Uchida, Thomas K.</creator><general>ASME</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>20230701</creationdate><title>Muscle Constitutive Model With a Tangent Modulus Approximation: Ansys Implementation and Verification</title><author>Sampaio de Oliveira, Manuel Lucas ; Uchida, Thomas K.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a266t-8a0f9414f2e4222186db329be97850bd5f80a4710b97dccd80c6e7e01727e1393</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Computer Simulation</topic><topic>Elastic Modulus - physiology</topic><topic>Finite Element Analysis</topic><topic>Models, Biological</topic><topic>Muscles</topic><topic>Software</topic><topic>Stress, Mechanical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Sampaio de Oliveira, Manuel Lucas</creatorcontrib><creatorcontrib>Uchida, Thomas K.</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of biomechanical engineering</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Sampaio de Oliveira, Manuel Lucas</au><au>Uchida, Thomas K.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Muscle Constitutive Model With a Tangent Modulus Approximation: Ansys Implementation and Verification</atitle><jtitle>Journal of biomechanical engineering</jtitle><stitle>J Biomech Eng</stitle><addtitle>J Biomech Eng</addtitle><date>2023-07-01</date><risdate>2023</risdate><volume>145</volume><issue>7</issue><issn>0148-0731</issn><eissn>1528-8951</eissn><abstract>Sophisticated muscle material models are required to perform detailed finite element simulations of soft tissue; however, state-of-the-art muscle models are not among the built-in materials in popular commercial finite element software packages. Implementing user-defined muscle material models is challenging for two reasons: deriving the tangent modulus tensor for a material with a complex strain energy function is tedious and programing the algorithm to compute it is error-prone. These challenges hinder widespread use of such models in software that employs implicit, nonlinear, Newton-type finite element methods. We implement a muscle material model in Ansys using an approximation of the tangent modulus, which simplifies its derivation and implementation. Three test models were constructed by revolving a rectangle (RR), a right trapezoid (RTR), and a generic obtuse trapezoid (RTO) around the muscle's centerline. A displacement was applied to one end of each muscle, holding the other end fixed. The results were validated against analogous simulations in FEBio, which uses the same muscle model but with the exact tangent modulus. Overall, good agreement was found between our Ansys and FEBio simulations, though some noticeable discrepancies were observed. For the elements along the muscle's centerline, the root-mean-square-percentage error in the Von Mises stress was 0.00%, 3.03%, and 6.75% for the RR, RTR, and RTO models, respectively; similar errors in longitudinal strain were observed. We provide our Ansys implementation so that others can reproduce and extend our results.</abstract><cop>United States</cop><pub>ASME</pub><pmid>36808465</pmid><doi>10.1115/1.4056948</doi></addata></record> |
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source | MEDLINE; ASME_美国机械工程师学会现刊; Alma/SFX Local Collection |
subjects | Computer Simulation Elastic Modulus - physiology Finite Element Analysis Models, Biological Muscles Software Stress, Mechanical |
title | Muscle Constitutive Model With a Tangent Modulus Approximation: Ansys Implementation and Verification |
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