A FINITE-ELEMENT METHOD FOR STABILITY PROBLEMS IN FINITE ELASTICITY

被引：29

作者：

REESE, S

WRIGGERS, P

机构：

[1] Institut für Mechanik, Technische Hochschule Darmstadt, Darmstadt

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1995年 / 38卷 / 07期

关键词：

HYPERELASTICITY; STABILITY PROBLEMS; FINITE ELEMENT METHOD; SPECTRAL DECOMPOSITION;

D O I：

10.1002/nme.1620380706

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper a finite element method is developed to treat stability problems in finite elasticity. For this purpose the constitutive equations are formulated in principal stretches which allows a general representation of the derivatives of the strain energy function with respect to the principal stretches. These results can then be used to derive an efficient numerical scheme for the computation of singular points.

引用

页码：1171 / 1200

页数：30

共 40 条

[1]

BALL JM, 1977, ARCH RATION MECH AN, V63, P337, DOI 10.1007/BF00279992

[2]

BEATTY MF, 1968, INT J SOLIDS STRUCT, V4, P623

[3] HOURGLASS CONTROL IN LINEAR AND NONLINEAR PROBLEMS [J].