Numerical Evaluation of T-stress Solutions for Cracks in Plane Anisotropic Bodies

摘要

Numerical T-stress solutions in two dimensional anisotropic cracked bodies are very scarce in the literature. Schemes to evaluate this fracture parameter in anisotropy have been reported only fairly recently. Among them are those developed in conjunction with two different computational techniques, namely, the Boundary Element Method (BEM) and the Scaled Boundary Finite-Element Method (SBFEM). This paper provides a review of the respective schemes using these techniques and demonstrates their efficacy with three examples. These examples, which are of engineering importance, involve cracks lying in a homogeneous medium as well as at the interface between dissimilar media. The numerical T-stress solutions obtained by the two distinct numerical schemes are compared and they show excellent agreement with each other, further establishing the veracity of the two independent methodologies employed. They are also new additions to the very limited number of reference solutions in the literature, particularly for anisotropic elasticity.