Abstract
A general formulation for evaluating the T-stress at tips of a curved crack is introduced. In the formulation, a singular integral equation with the distribution of dislocation along the curve is suggested. The left-hand side of the equation is composed of a singular integral and a regular integral, and the right-hand side is the applied traction. An explicit formula for T-stress at the crack tip is first obtained in this paper. From the solution for the singular integral equation, the stress intensity factors and the T-stress at the crack tips can be evaluated. The T-stress is composed of two portions: (a) the relevant stress at the prospective site of the crack tip in the uniform field without crack and (b) the value of a regular integral in the singular integral equation. An effective method, the curve length method, is used to solve the singular integral equation. The arc crack with known solution is taken as an example to examine the suggested method. Several numerical examples are presented. The influence of the curvature to T-stress is addressed.
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