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Analytical integrations and SIFs computation in 2D fracture mechanics
Author(s) -
Salvadori A.,
Gray L. J.
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.1888
Subject(s) - boundary element method , stress intensity factor , mathematics , fracture mechanics , linear elasticity , context (archaeology) , computation , mathematical analysis , boundary (topology) , boundary value problem , stress (linguistics) , fracture (geology) , computational mechanics , work (physics) , finite element method , calculus (dental) , structural engineering , physics , materials science , engineering , algorithm , medicine , paleontology , linguistics , philosophy , dentistry , composite material , thermodynamics , biology
Analytical integrations, in the framework of linear elastic problems modelled by means of boundary integral equations, have been considered in a previous publication ( Int. J. Numer. Methods Eng. 2002; 53 (7):1695–1719): the present note aims at extending the subject to linear elastic fracture mechanics. In such a context, special shape functions have been recently proposed ( SIAM J. Appl. Math. 1998; 58 : 428–455) in order to increase accuracy in stress intensity factors approximation: the closed form solution for ‘integrals’ that arise from the boundary element method is a goal of the present work. Exploiting the analytical integrations, asymptotical analysis around the crack tip are made possible, with the purpose of formulating a coherent and accurate correlation between approximated stress intensity factors and crack opening displacements over the crack tip straight special elements. Copyright © 2006 John Wiley & Sons, Ltd.