A polyconvex hyperelastic model for fiber-reinforced materials in application to soft tissues
A polyconvex hyperelastic model for fiber-reinforced materials in application to soft tissues
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DOI：
10.1007/s10853-007-1812-6
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发表时间：
2007-11-01
影响因子：
4.5
通讯作者：
Itskov, Mikhail
中科院分区：
文献类型：
--
作者：
Ehret, Alexander E.;Itskov, Mikhail
本文提出了纤维增强材料的广义各向异性超弹性本构模型。通过结构张量考虑生物组织中的胶原纤维排列，其中正交各向异性和横向各向同性材料对称性作为特殊情况出现。该模型能够描述软组织在大应变下的各向异性应力响应，并适用于不同类型的动脉等。所提出的应变能函数是多凸的和矫顽的。这保证了总弹性能的全局最小化的存在，这在边值问题的背景下很重要。
In this paper a generalized anisotropic hyperelastic constitutive model for fiber-reinforced materials is proposed. Collagen fiber alignment in biological tissues is taken into account by means of structural tensors, where orthotropic and transversely isotropic material symmetries appear as special cases. The model is capable to describe the anisotropic stress response of soft tissues at large strains and is applied for example to different types of arteries. The proposed strain energy function is polyconvex and coercive. This guarantees the existence of a global minimizer of the total elastic energy, which is important in the context of a boundary value problem.