analysis of interaction between interface cracks and internal cracks using singular integral equations of the body force method

摘要

This paper deals with the interaction of interface cracks and arbitrarily arranged internal cracks in bonded dissimilar materials. The problem is analyzed using the singular integral equations based onthe body force method. In the numerical analysis, the unknown functions of the body force densities are approximmated by the products of the fundamental density functions and power series. here, the fundamental density functions are the exact body force densities to express a single interface crack and a singel internal crack. The stress intensity factors of the interface crack are systematically calulated for various crack dimensions, arrangements of the crack and elastic constants of the materials. The interaction effect of these problems is discussed by comparing the numerical results with the results of ordinary cracks in homogeneous materials.