Premium
The dual boundary element formulation for elastoplastic fracture mechanics
Author(s) -
Leitão V.,
Aliabadi M. H.,
Rooke D. P.
Publication year - 1995
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.1620380210
Subject(s) - quadrilateral , discretization , boundary element method , traction (geology) , crack tip opening displacement , fracture mechanics , quadratic equation , mathematical analysis , finite element method , mathematics , displacement (psychology) , boundary value problem , stress intensity factor , structural engineering , geometry , engineering , mechanical engineering , psychology , psychotherapist
In this paper the extension of the dual boundary element method (DBEM) to the analysis of elastoplastic fracture mechanics (EPFM) problems is presented. The dual equations of the method are the displacement and the traction boundary integral equations. When the displacement equation is applied on one of the crack surfaces and the traction equation on the other, general mixed‐mode crack problems can be solved with a single‐region formulation. In order to avoid collocation at crack tips, crack kinks and crack‐edge corners, both crack surfaces are discretized with discontinuous quadratic boundary elements. The elastoplastic behaviour is modelled through the use of an approximation for the plastic component of the strain tensor on the region expected to yield. This region is discretized with internal quadratic, quadrilateral and/or triangular cells. This formulation was implemented for two‐dimensional domains only, although there is no theoretical or numerical limitation to its application to three‐dimensional ones. A centre‐cracked plate and a slant edge‐cracked plate subjected to tensile load are analysed and the results are compared with others available in the literature. J ‐type integrals are calculated.