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Two‐dimensional stress intensity factor computations using the boundary element method
Author(s) -
Blandford George E.,
Ingraffea Anthony R.,
Liggett James A.
Publication year - 1981
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.1620170308
Subject(s) - traction (geology) , stress intensity factor , singularity , plane stress , boundary element method , finite element method , computation , mathematics , displacement (psychology) , crack tip opening displacement , structural engineering , mathematical analysis , fracture mechanics , engineering , mechanical engineering , algorithm , psychology , psychotherapist
A multidomain boundary element formulation for the analysis of general two‐dimensional plane strain/stress crack problems is presented. The numerical results were accurate and efficient. The analyses were performed using traction singular quater‐point boundary elements on each side of the crack tip(s) with and without transition elements. Traction singular quarter‐point boundary elements contain the correct √ r displacement and 1/√ r traction variations at the crack tip. Transition elements are appended to the traction singular elements to model the √ r displacement variation. The 1/√ r traction singularity is not represented with these elements. Current research studies for the crack propagation analysis of quasi‐static and fatigue fracture problems are discussed.