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An implicit BEM formulation for gradient plasticity and localization phenomena
Author(s) -
Benallal Ahmed,
Fudoli Carlos A.,
Venturini Wilson S.
Publication year - 2001
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/nme.365
Subject(s) - tangent , plasticity , mathematics , representation (politics) , boundary element method , finite element method , operator (biology) , boundary (topology) , displacement (psychology) , element (criminal law) , dependency (uml) , multiplier (economics) , mathematical analysis , calculus (dental) , computer science , geometry , structural engineering , physics , engineering , artificial intelligence , dentistry , repressor , law , chemistry , biochemistry , political science , transcription factor , thermodynamics , medicine , politics , gene , psychotherapist , macroeconomics , psychology , economics
The aim of this paper is to discuss a boundary element formulation for non‐linear structural problems involving localization phenomena. In order to overcome the well‐known mesh dependency observed in local plasticity, a gradient plasticity model is used. An implicit boundary element formulation is proposed and the underlying consistent tangent operator defined. This formulation is based on the classical displacement and strain integral representations combined with an integral representation of the plastic multiplier. First numerical examples are presented to illustrate the application of the method. Copyright © 2001 John Wiley & Sons, Ltd.