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Stress intensity factor computation using the method of fundamental solutions: mixed‐mode problems
Author(s) -
Berger J. R.,
Karageorghis Andreas,
Martin P. A.
Publication year - 2006
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.1774
Subject(s) - stress intensity factor , computation , linear elasticity , cauchy distribution , domain decomposition methods , mathematics , displacement (psychology) , elasticity (physics) , mathematical analysis , domain (mathematical analysis) , fracture mechanics , structural engineering , materials science , algorithm , finite element method , engineering , psychology , composite material , psychotherapist
The method of fundamental solutions is applied to the computation of stress intensity factors in linear elastic fracture mechanics. The displacements are approximated by linear combinations of the fundamental solutions of the Cauchy–Navier equations of elasticity and the leading terms for the displacement near the crack tip. Two algorithms are developed, one using a single domain and one using domain decomposition. Numerical results are given. Copyright © 2006 John Wiley & Sons, Ltd.