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3‐D boundary element method for cracks in a plate
Author(s) -
Fares N.,
Li V. C.
Publication year - 1989
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.1620280716
Subject(s) - boundary element method , stress intensity factor , traction (geology) , slip (aerodynamics) , mathematical analysis , boundary (topology) , analytic element method , numerical integration , finite element method , mathematics , boundary value problem , structural engineering , geometry , physics , engineering , mechanical engineering , thermodynamics
Abstract New fundamental solutions which automatically satisfy boundary conditions at the interfaces of an elastic plate perfectly bonded to two elastic halfspaces are implemented in a 3‐D boundary element method (BEM) for crack problems. The BEM features a new integration scheme for highly singular kernels. The capability is achieved through a part analytic and part numerical integration procedure, such that the analytic part of the integration is similar for all slip/opening variations, ‘Part‐through’ elliptic cracks in an elastic plate with traction‐free surfaces are analysed and the stress intensity factor (SIF) values along the crack front are found to compare favourably with widely accepted numerically obtained SIF results by Raju and Newman. 1