## Abstract This paper addresses the issue of a pโadaptive version of the generalized finite element method (GFEM). The technique adopted here is the equilibrated element residual method, but presented under the GFEM approach, i.e., by taking into account the typical nodal enrichment scheme of the
Error estimators and the adaptive finite element method on large strain deformation problems
โ Scribed by Arnd Meyer
- Publisher
- John Wiley and Sons
- Year
- 2009
- Tongue
- English
- Weight
- 472 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1130
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โฆ Synopsis
Abstract
We generalize the wellโknown residualโbased error estimator in linear elasticity to the case of nonโlinear deformation problems based on large strain and demonstrate its use in adaptive mesh control. Copyright ยฉ 2009 John Wiley & Sons, Ltd.
๐ SIMILAR VOLUMES
A two-dimensional ยฎnite element method is developed for large deformation plasticity. Principal axes are used for the description of the material behaviour, and the use of principal logarithmic stretches leads to exact formulae for ยฎnite deformation problems with large elastic and plastic strains. A
Procedures to enforce equilibration of residuals and determine complementary a posteriori error estimates for linear elasticity have been published elsewhere. Methods for determining the error in stress and displacement have also been proposed. Here we discuss an extension to the procedure for equi