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On the computation of two‐dimensional stress intensity factors using the boundary element method
Author(s) -
Jia Z. H.,
Shippy D. J.,
Rizzo F. J.
Publication year - 1988
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.1620261211
Subject(s) - stress intensity factor , finite element method , traction (geology) , discretization , computation , displacement (psychology) , boundary element method , mathematics , extended finite element method , geometry , mixed finite element method , body force , mathematical analysis , boundary (topology) , crack tip opening displacement , fissure , structural engineering , materials science , mechanics , physics , engineering , composite material , algorithm , mechanical engineering , psychology , psychotherapist
General two‐dimensional linear elastic fracture problems are investigated using the boundary element method. The √ r displacement and 1/√ r traction behaviour near a crack tip are incorporated in special crack elements. Stress intensity factors of both modes I and II are obtained directly from crack‐tip nodal values for a variety of crack problems, including straight and curved cracks in finite and infinite bodies. A multidomain approach is adopted to treat cracks in an infinite body. The body is subdivided into two regions: an infinite part with a finite hole and a finite inclusion. Numerical results, compared with exact solution whenever possible, are accurate even with a coarse discretization.