Computational investigation of hyperelastic solids using left Cauchy—Green deformation tensor

Аuthors

Golovanov A. I.^*, Sultanov L. U.^**

Chebotarev Institute of Mathematics and Mechanics, Universitetskaya, 17, Kazan, 420008, Russia

*e-mail: alexandr.golovanov@ksu.ru
**e-mail: Lenar.Sultanov@ksu.ru

Abstract

The article is devoted to analysis of hyperelastic solids using left Cauchy—Green deformation tensor. An incremental method is used. Stress state is represented by Cauchy stress. A general constitutive relationship is derived from the proposed strain energy. The finite element method with poly linear three-dimensional isoparametric approximation is applied. Numerical computations illustrate ability of the described approach and its program realization.

Keywords:

nonlinear mechanics, finite strain, hyperelasticity, finite element method, incremental method.