2-DIMENSIONAL ELASTOPLASTICITY - APPROXIMATION BY MIXED FINITE-ELEMENTS

Citation
Sl. Weissman et M. Jamjian, 2-DIMENSIONAL ELASTOPLASTICITY - APPROXIMATION BY MIXED FINITE-ELEMENTS, International journal for numerical methods in engineering, 36(21), 1993, pp. 3703-3727
Citations number
27
Categorie Soggetti
Computer Application, Chemistry & Engineering",Engineering,Mathematics
ISSN journal
00295981
Volume
36
Issue
21
Year of publication
1993
Pages
3703 - 3727
Database
ISI
SICI code
0029-5981(1993)36:21<3703:2E-ABM>2.0.ZU;2-9
Abstract
Two-dimensional elastoplastic problems are used to assess the performa nce of a family of mixed finite elements in the non-linear regime. In particular, four-node bilinear quadrilateral elements that exhibit hig h accuracy in coarse meshes are used to simulate plane stress, plane s train, axisymmetric and (shear-deformable) plate bending problems. The excellent performance of these elements is demonstrated with a number of discriminating examples selected from the literature. In addition, agreement is observed in the limit load predicted by the axisymmetric solid and plate bending elements.