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An extended boundary element method formulation for the direct calculation of the stress intensity factors in fully anisotropic materials
Author(s) -
Hattori G.,
Alatawi I. A.,
Trevelyan J.
Publication year - 2016
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.5311
Subject(s) - boundary element method , stress intensity factor , anisotropy , degrees of freedom (physics and chemistry) , finite element method , mathematics , formalism (music) , boundary value problem , mathematical analysis , linear elasticity , boundary (topology) , structural engineering , physics , engineering , art , musical , quantum mechanics , visual arts
Summary We propose a formulation for linear elastic fracture mechanics in which the stress intensity factors are found directly from the solution vector of an extended boundary element method formulation. The enrichment is embedded in the boundary element method formulation, rather than adding new degrees of freedom for each enriched node. Therefore, a very limited number of new degrees of freedom is added to the problem, which contributes to preserving the conditioning of the linear system of equations. The Stroh formalism is used to provide boundary element method fundamental solutions for any degree of anisotropy, and these are used for both conventional and enriched degrees of freedom. Several numerical examples are shown with benchmark solutions to validate the proposed method. Copyright © 2016 John Wiley & Sons, Ltd.