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.

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Keywords Anisotropic elasticity, Boundary element method, Mutual M integral, T stress
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Journal Fatigue and Fracture of Engineering Materials and Structures
Shah, P.D. (P. D.), Tan, C, & Wang, X. (2006). T-stress solutions for two-dimensional crack problems in anisotropic elasticity using the boundary element method. Fatigue and Fracture of Engineering Materials and Structures, 29(5), 343–356. doi:10.1111/j.1460-2695.2005.00990.x