Computational method of inverse elastostatics for anisotropic hyperelastic solids
Computational method of inverse elastostatics for anisotropic hyperelastic solids
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DOI：
10.1002/nme.1807
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发表时间：
2007-02-05
影响因子：
2.9
通讯作者：
Raghavan, Madhavan L.
中科院分区：
文献类型：
--
作者：
Lu, Jia;Zhou, Xianlian;Raghavan, Madhavan L.
本文提出了一种由给定的变形状态预测各向异性弹性体的初始几何形状的计算方法。该方法对于应力分析中的一类问题，特别是在生物力学应用中是必不可少的。虽然基本思想已经在其他地方建立了计算。Methods Appl. Mech. Eng. 1996; 136：47-57; Int. J. Numer. Meth. Engng 1998 43：821-838），在一般各向异性固体中的实施不是一个微不足道的练习，而是在本构方程的欧拉表示的系统发展之后。在本文中，我们讨论了纤维超弹性固体的一般表示，并给出了一些常用的软组织模型，包括Fung模型和Holzapfel模型的显式应力函数。一个三场混合配方引入强制执行准不可压缩性约束。通过动脉瘤应力分析的所有实例，证明了该方法的实用性。版权所有（c）2006约翰威利父子有限公司。
The paper presents a computational method for predicting the initial geometry of a finitely deforming anisotropic elastic body from a given deformed state. The method is imperative for a class of problem in stress analysis, particularly in biomechanical applications. While the basic idea has been established elsewhere Comput. Methods Appl. Mech. Eng. 1996; 136:47-57; Int. J. Numer. Meth. Engng 1998 43: 821-838), the implementation in general anisotropic solids is not a trivial exercise, but comes after a systematic development of Eulerian representations of constitutive equations. In this paper, we discuss the general representation in the context of fibrous hyperelastic solids, and provide explicit stress functions for some commonly used Soft tissue models including the Fung model and the Holzapfel model. A three-field mixed formulation is introduced to enforce quasi-incompressibility constraints. The practical utility of this method is demonstrated using all example of aneurysm stress analysis. Copyright (c) 2006 John Wiley & Sons, Ltd.