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A three‐dimensional element‐free Galerkin elastic and elastoplastic formulation
Author(s) -
Barry William,
Saigal Sunil
Publication year - 1999
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/(sici)1097-0207(19991020)46:5<671::aid-nme650>3.0.co;2-9
Subject(s) - galerkin method , mathematics , finite element method , moving least squares , tangent , weight function , mathematical analysis , domain (mathematical analysis) , linear elasticity , boundary (topology) , operator (biology) , function (biology) , geometry , structural engineering , engineering , biochemistry , chemistry , repressor , evolutionary biology , biology , transcription factor , gene
A small strain, three‐dimensional, elastic and elastoplastic Element‐Free Galerkin (EFG) formulation is developed. Singular weight functions are utilized in the Moving‐Least‐Squares (MLS) determination of shape functions and shape function derivatives allowing accurate, direct nodal imposition of essential boundary conditions. A variable domain of influence EFG method is introduced leading to increased efficiency in computing the MLS shape functions and their derivatives. The elastoplastic formulations are based on the consistent tangent operator approach and closely follow the incremental formulations for non‐linear analysis using finite elements. Several linear elastic and small strain elastoplastic numerical examples are presented to verify the accuracy of the numerical formulations. Copyright © 1999 John Wiley & Sons, Ltd.