Analysis of an Imperfectly Bonded Hollow Inclusion in an Infinite Medium

Abstract

The elastic interaction of a misfitting hollow inclusion embedded in a matrix, under remote tensile loading, is analyzed. Closed form analytical expressions are obtained for both perfectly bonded and debonded conditions using solid harmonics. The debonding is modeled as a displacement discontinuity, which permits relative displacement at the interface in the tangential and normal direction. The displacement jump across the interface is related to the corresponding traction force using a linear spring model. The theoretical results are validated with the results obtained from finite-element analysis. Using the analytical expressions, the influence of various geometrical and material properties of the inclusion and the matrix on the stress field around the inclusion is studied. The parametric stress analysis shows that the interface conditions influence the state of stress in the inclusion significantly.