Three-Dimensional Stress Analysis for Dissimilar Materials

Abstract

In recent years, composite materials and metal-ceramic joints have been used widely as industrial materials. Failure in these materials frequently occurs at the vicinity of bonded edges. It is therefore important to clarify the stress and displacement fields around the bonded edges. Bogy[1] had studied the stress singularity at the bonded edges in two-phase materials on the basis of two-dimensional elasticity theory. We also have been so far examined the stress field and the reduction of stress concentration in joints of axisymmetric configuration experimentally and analytically. Incidentally, near the intersection of the interface with the free surfaces, referred as the corner, state of stress is three dimensional. Furthermore, the stress singularity occurs actually along line intersecting the interface with the free surface, we refer to the line as the stress singularity line. For instance, as shown in Fig. 1, a corner is a cross point of four free surfaces and the bonded plane, i.e., it is a point crossing two stress singularity lines with the different orders of stress singularity in general.