Journal article
Computational method of inverse elastostatics for anisotropic hyperelastic solids
International journal for numerical methods in engineering, Vol.69(6), pp.1239-1261
2007
DOI: 10.1002/nme.1807
Abstract
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 an example of aneurysm stress analysis.
Details
- Title: Subtitle
- Computational method of inverse elastostatics for anisotropic hyperelastic solids
- Creators
- Jia Lu - Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242-1527, United StatesXianlian Zhou - Department of Mechanical and Industrial Engineering, Center for Computer Aided Design, The University of Iowa, Iowa City, IA 52242-1527, United StatesMadhavan L RAGHAVAN - Department of Biomedical Engineering, The University of Iowa, Iowa City, IA 52242, United States
- Resource Type
- Journal article
- Publication Details
- International journal for numerical methods in engineering, Vol.69(6), pp.1239-1261
- Publisher
- Wiley; Chichester
- DOI
- 10.1002/nme.1807
- ISSN
- 0029-5981
- eISSN
- 1097-0207
- Language
- English
- Date published
- 2007
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering
- Record Identifier
- 9984064576302771
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