A three-dimensional element-free Galerkin elastic and elastoplastic formulation

Citation
W. Barry et S. Saigal, A three-dimensional element-free Galerkin elastic and elastoplastic formulation, INT J NUM M, 46(5), 1999, pp. 671-693
Citations number
25
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
00295981 → ACNP
Volume
46
Issue
5
Year of publication
1999
Pages
671 - 693
Database
ISI
SICI code
0029-5981(19991020)46:5<671:ATEGEA>2.0.ZU;2-#
Abstract
A small strain, three-dimensional, elastic and elastoplastic Element-Free G alerkin (EFG) formulation is developed. Singular weight functions are utili zed in the Moving-Least-Squares (MLS) determination of shape functions and shape function derivatives allowing accurate, direct nodal imposition of es sential boundary conditions. A variable domain of influence EFG method is i ntroduced leading to increased efficiency in computing the MLS shape functi ons and their derivatives. The elastoplastic formulations are based on the consistent tangent operator approach and closely follow the incremental for mulations for non-linear analysis using finite elements. Several linear ela stic and small strain elastoplastic numerical examples are presented to ver ify the accuracy of the numerical formulations. Copyright (C) 1999 John Wil ey & Sons, Ltd.