A transversely isotropic viscohyperelastic material - Application to the modeling of biological soft connective tissues
A transversely isotropic viscohyperelastic material - Application to the modeling of biological soft connective tissues
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DOI：
10.1016/j.ijsolstr.2004.02.057
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发表时间：
2004-07-01
影响因子：
3.6
通讯作者：
Middleton, J
中科院分区：
文献类型：
--
作者：
Limbert, G;Middleton, J
提出了考虑应变率效应的横观各向同性粘超弹性本构关系。它是基于一个定义的一般亥姆霍兹自由能函数，它明确取决于右柯西-格林变形张量。其材料时间导数和表征各向异性产生的优选方向的结构张量。定义自由能函数的弹性势和粘性势被假定为解耦的。从而便于识别过程。该定律适用于任意运动学，旨在模拟生物软组织在高应变率和有限应变状态下的力学行为。这对于汽车碰撞模拟（有限元分析）中乘员的动态分析和动态载荷显著的情况（运动损伤等）具有高度相关性。建立了应力张量、弹性张量和粘性张量的显式表达式。作为本构关系的一个应用，给出了描述人体前交叉韧带力学特性的Helmholtz自由能函数的应力张量的一般表达式。本构模型被证明捕捉应变率效应和韧带的其他基本特性，如有限应变，各向异性和几乎不可压缩。该模型还测试了各种多轴向载荷的情况。(C)2004年由Elsevier Ltd.出版。
A general transversely isotropic viscohyperelastic constitutive law including strain rate effects was proposed. It is based on a definition of a general Helmholtz free energy function which depends explicitly on the right Cauchy-Green deformation tensor. its material time derivative and a structural tensor characterizing the preferred direction from which anisotropy arises. The elastic and viscous potentials that defined the free energy function were assumed to be decoupled. thus facilitating the identification process. This law was valid for arbitrary kinematics and aimed at modeling the mechanical behavior of biological soft tissues at high strain rates and at the finite strain regime. This is of high relevance for dynamic analyses of human occupants in car crash simulations (finite element analyses) and for situations where dynamic loads are significant (sport injury, etc). Explicit expression of the stress, elasticity and viscosity tensors were established. As an application of the constitutive law, the general expressions of the stress tensors were particularized for a specific Helmholtz free energy function describing the mechanical characteristics of the human anterior cruciate ligament. The constitutive model was shown to capture the strain rate effects and other essential characteristics of ligaments such as finite strain, anisotropy and nearly incompressibility. The model was also tested for various multi-axial loading situations. (C) 2004 Published by Elsevier Ltd.