A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus
A composites-based hyperelastic constitutive model for soft tissue with application to the human annulus fibrosus
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DOI：
10.1016/j.jmps.2006.02.006
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发表时间：
2006-09-01
影响因子：
5.3
通讯作者：
Moran, B.
中科院分区：
文献类型：
--
作者：
Guo, Z. Y.;Peng, X. Q.;Moran, B.
提出了一种基于复合材料的软组织超弹性本构模型。组织良好的软组织被视为一种复合材料，其中基质材料嵌入了单一家族的对齐纤维。纤维被建模为一个广义的neo-Hookean材料，其中的刚度取决于纤维拉伸。变形梯度被分解成两部分：一个单轴变形沿着纤维方向和随后的剪切变形。这允许由不均匀变形引起的纤维-基体相互作用通过使用基于小应变线弹性的传统复合材料理论的有效性质来估计，并适当地推广到目前的大变形情况。提出了一种横观各向同性超弹性模型来描述纤维增强软组织的力学行为。然后将该模型应用于人纤维环。由于纤维环的分层解剖结构，纤维环的正交各向异性超弹性模型的发展。仿真结果表明，该模型准确地再现了人体纤维环的应力-应变响应。我们还表明，在以前的唯象模型中使用的纤维-基体剪切相互作用能的表达式是兼容的，在本文件中导出。(c)2006爱思唯尔有限公司保留所有权利。
This paper presents a composites-based hyperelastic constitutive model for soft tissue. Well organized soft tissue is treated as a composite in which the matrix material is embedded with a single family of aligned fibers. The fiber is modeled as a generalized neo-Hookean material in which the stiffness depends on fiber stretch. The deformation gradient is decomposed multiplicatively into two parts: a uniaxial deformation along the fiber direction and a subsequent shear deformation. This permits the fiber-matrix interaction caused by inhomogeneous deformation to be estimated by using effective properties from conventional composites theory based on small strain linear elasticity and suitably generalized to the present large deformation case. A transversely isotropic hyperelastic model is proposed to describe the mechanical behavior of fiber-reinforced soft tissue. This model is then applied to the human annulus fibrosus. Because of the layered anatomical structure of the annulus fibrosus, an orthotropic hyperelastic model of the annulus fibrosus is developed. Simulations show that the model reproduces the stress-strain response of the human annulus fibrosus accurately. We also show that the expression for the fiber-matrix shear interaction energy used in a previous phenomenological model is compatible with that derived in the present paper. (c) 2006 Elsevier Ltd. All rights reserved.