Numerical solutions of hypersingular integro-differential equations are discussed in the analysis of interfacial crack in two and three dimensional bimaterials subjected to general internal pressure. The problem is formulated on the basis of the body force method. In the numerical analysis, unknown body force densities are approximated by the products of the fundamental density functions and power series, where the fundamental density functions are chosen to express singular behavior along the crack front of the interface crack exactly. The present method gives rapidly converging numerical results and highly satisfied boundary conditions throughout the crack boundary. The stress intensity factors are given with varying the material combination and aspect ratio of the crack. It is found that the stress intensity factors KI and II K are determined by the bimaterials constant ε alone, independent of elastic modulus ratio and Poissonu27s ratio.
展开▼
