Analytical integrations and SIFs computation in 2D fracture mechanics | Zendy

Salvadori A. | Zendy; Gray L. J. | Zendy

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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.

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