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T‐stress solutions for two‐dimensional crack problems in anisotropic elasticity using the boundary element method
Author(s) -
SHAH P. D.,
TAN C. L.,
WANG X.
Publication year - 2006
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1111/j.1460-2695.2005.00990.x
Subject(s) - stress intensity factor , boundary element method , anisotropy , elasticity (physics) , boundary (topology) , fracture mechanics , plane stress , structural engineering , fracture (geology) , mathematical analysis , materials science , finite element method , stress (linguistics) , mathematics , geometry , mechanics , engineering , physics , composite material , optics , linguistics , philosophy
The importance of a two‐parameter approach in the fracture mechanics analysis of many cracked components is increasingly being recognized in engineering industry. In addition to the stress intensity factor, the T stress is the second parameter considered in fracture assessments. In this paper, the path‐independent mutual M ‐ integral method to evaluate the T stress is extended to treat plane, generally anisotropic cracked bodies. It is implemented into the boundary element method for two‐dimensional elasticity. Examples are presented to demonstrate the veracity of the formulations developed and its applicability. The numerical solutions obtained show that material anisotropy can have a significant effect on the T stress for a given cracked geometry.