The asymptotic stress field for a rigid circular inclusion at the interface of two bonded dissimilar elastic half-space materials

Abstract

The paper considers three-dimensional interface inclusion problems. The axisymmetric elastostatics problem of a rigid circular inclusion at the interface between two perfectly bonded dissimilar elastic half spaces is analyzed. Based on the representations of displacements and stresses in terms of Love's strain potential and the Hankel transform technique, the mixed boundary value problem associated with a rigid circular inclusion at the interface reduces to a pair of simultaneous integral equations for the stress jumps across the inclusion, which are further transformed to a single singular integral equation. For the case of uniform axial and radial tensions at infinity, the asymptotic stresses near the inclusion front are obtained and they exhibit the oscillatory singularity. Meanwhile, the magnitude of the singularity for the interface inclusion depends on the material constants of the upper and lower half spaces, the dependence of singularity coefficients on material constants for interface inclusion problems, however, is different from that for interface crack problems.