A new stabilization technique for finite elements in non-linear elasticity

Citation
S. Reese et al., A new stabilization technique for finite elements in non-linear elasticity, INT J NUM M, 44(11), 1999, pp. 1617-1652
Citations number
34
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
44
Issue
11
Year of publication
1999
Pages
1617 - 1652
Database
ISI
SICI code
0029-5981(19990420)44:11<1617:ANSTFF>2.0.ZU;2-L
Abstract
In the present contribution, an innovative stabilization technique for two- dimensional low-order finite elements is presented. The new approach result s in an element formulation that is much simpler than the recently proposed enhanced strain element formulation, yet which gives results of at least t he same quality. An important feature in the regime of large deformations i s the stability of the element, which is addressed in detail. The main adva ntages of the new formulation are, besides its simplicity, its computationa l efficiency and robust behaviour. Only three history variables have to be stored, making this stabilization concept particularly interesting for larg e-scale problems. Copyright (C) 1999 John Wiley & Sons, Ltd.