Premium
A finite element method for stability problems in finite elasticity
Author(s) -
Reese S.,
Wriggers P.
Publication year - 1995
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620380706
Subject(s) - finite element method , elasticity (physics) , mathematics , computation , mixed finite element method , extended finite element method , stability (learning theory) , mathematical analysis , computer science , structural engineering , algorithm , engineering , physics , machine learning , thermodynamics
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.