Evaluation of the T-Stress for Multiple Cracks in an Infinite Plate Using Singular Integral Equation

Abstract

This paper studies T-stress problem for multiple cracks in an infinite plate with the remote loading. After some manipulations, the problem can be modeled by dislocation distributions along the crack faces. A singular integral equation is formulated for the problem, where the unknowns are the dislocation distribution along the crack faces. The SIFs (stress intensity factor) can be evaluated from the solution of singular integral equation. From a definition for T-stress in the crack back position method and the solution of the singular integral equation, the T-stresses at crack tips can be evaluated accordingly. An explicit formula for the T-stress is provided. Several numerical examples are provided. Accuracy of computation is examined by an example.