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Initial strain formulation without internal cells for elastoplastic analysis by triple‐reciprocity BEM
Author(s) -
Ochiai Yoshihiro,
Kobayashi Tadashi
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.100
Subject(s) - boundary element method , reciprocity (cultural anthropology) , mathematics , mathematical analysis , finite element method , boundary (topology) , boundary value problem , calculus (dental) , structural engineering , engineering , psychology , social psychology , dentistry , medicine
In general, internal cells are required to solve elastoplasticity problems using a conventional boundary element method (BEM). However, in this case, the merit of BEM, which is the easy method of preparation of data, is lost. The conventional multiple‐reciprocity boundary element method (MRBEM) cannot be used to solve the elastoplasticity problems because the distribution of initial strain or initial stress cannot be determined analytically. In this paper, we show that two‐dimensional elastoplasticity problems can be solved without the use of internal cells, by using the triple‐reciprocity boundary element method. An initial strain formulation is adopted and the initial strain distribution is interpolated using boundary integral equations. A new computer programme was developed and applied to several problems. Copyright © 2001 John Wiley & Sons, Ltd.