Analysis of Singularity at a Vertex in 3D Transversely Isotropic Piezoelectric Single-Step Bonded Joints with Various Thicknesses by Boundary Element Method

Abstract

The stress singularity fields are one of the main factors responsible for debonding under mechanical or thermal loading. Stress singularity frequently occurs at a vertex in an interface of joints due to a discontinuity of materials. Stress singularity is related to debonding and delamination at interface of the bonded joint. However, the singularity at a vertex in two-phase transversely isotropic piezoelectric dissimilar material joints has not been made clear until now. In this paper, intensity of singularity at a vertex is investigated in transversely isotropic piezoelectric dissimilar material joints. The orders of singularity at a vertex and at a point on singularity lines for piezoelectric bonded joints are determined using eigenanalysis. The stress and electric displacement distributions on an interface and the intensity of singularity at the vertex are investigated using BEM. From the numerical results, it is shown that the 3D intensity of stress singularity increases and the 3D intensity of electric displacement singularity decreases with the increase of material thickness in joint.