Investigation of Order of Singularity in 3D Two-phase Transversely Isotropic Piezoelectric Dissimilar Joints by Eigen Analysis Method

Abstract

The distribution of stress singularity field near the vertex of two-phase material components is very important to maintain the reliability of intelligent materials. Piezoelectric material, due to its characteristic direct-converse piezoelectric effect, has naturally received considerable attentions. In this paper, stress singularity at a vertex in transversely isotropic piezoelectric dissimilar material joints is analyzed. Eigen analysis based on FEM is used for stress singularity field analysis of piezoelectric dissimilar material joints. The Eigen equation is used for calculating the order of stress singularity, and the angular function of elastic displacement, electric potential, stress and electric displacement. Stress and electric displacement fields demonstrate that the value near the free edge of the joint is larger than that at the inner portion. From the numerical result, it is suggested that delamination of the interface may occur at the interface edge of the dissimilar piezoelectric material joints due to the higher stress concentration at the free edge.