关键词: 夹杂, 裂纹, 应力奇异性

Abstract: In this study the stress singularity problem that a crack initiates at the tip of a flat elastic inclusion embedded in an elastic solid is considered. The angle between the inclusion and the crack can be arbitrary. The problem is reduced to a system of four singular integral equations which can be transformed to those having normal Gauchy kernels and generalized Gauchy kernels. By means ol the function-theoretic technique, the stress singularity powers at singular points, the asymptotic stress fields around the intersection point, the stress intensity factors at the tips of the crack and the inclusion are obtained. Through some numerical calculations, the effects of the modulus ratio of the inclusion to the matrix, the relative size and orientation of the inclusion and the crack, the stress intensity factors at the tips of the inclusion and the crack, and the stresses along the inclusion are discussed.

Key words: inclusion, crack, stress singularity