Computational method of inverse elastostatics for anisotropic hyperelastic solids

摘要: The paper presents a computational method for predicting the initial geometry of finitely deforming anisotropic elastic body from given deformed state. is imperative class problem in stress analysis, particularly biomechanical applications. While basic idea has been established elsewhere Comput. Methods Appl. Mech. Eng. 1996; 136:47–57; Int. J. Numer. Meth. Engng 1998; 43: 821–838), implementation general solids not trivial exercise, but comes after systematic development Eulerian representations constitutive equations. In this paper, we discuss representation context fibrous hyperelastic solids, and provide explicit functions some commonly used soft tissue models including Fung model Holzapfel model. A three-field mixed formulation introduced to enforce quasi-incompressibility constraints. practical utility demonstrated using an example aneurysm analysis. Copyright © 2006 John Wiley & Sons, Ltd.