A new hyperelastic model for anisotropic hyperelastic materials with one fiber family

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• 作者：Renye Cai^a ; ^{renye.cai@utbm.fr" class="auth_mail" title="E-mail the corresponding author} ; ^{braincry123@163.com" class="auth_mail" title="E-mail the corresponding author} ; Fré ; dé ; ric Holweck^a ; ^{frederic.holweck@utbm.fr" class="auth_mail" title="E-mail the corresponding author} ; Zhi-Qiang Feng^b ; ^c ; ^{zhi-qiang.feng@ufrst.univ-evry.fr" class="auth_mail" title="E-mail the corresponding author} ; Franç ; ois Peyraut^a ; ^{francois.peyraut@utbm.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Biomechanics ; Theory of invariant polynomials ; Anisotropic hyperelasticity
• 刊名：International Journal of Solids and Structures
• 出版年：2016
• 出版时间：1 May 2016
• 年：2016
• 卷：84
• 期：Complete
• 页码：1-16
• 全文大小：1660 K

文摘

The main goal of this study is to propose a practical application of a new family of transverse anisotropic invariants by designing a strain energy function (SEF) for incompressible fiber-reinforced materials. In order to validate the usability and creativeness of the proposed model, two different fiber-reinforced rubber materials under uniaxial and shear testing are considered. For each kind of material, numerical simulations based on the proposed model are consistent with experimental results and provide information about the effect of the new family of invariants in the construction of the SEF.