Interaction of a conductive crack and of an electrode at a piezoelectric bimaterial interface

Abstract

The interaction of a conductive crack and an electrode at a piezoelectric bi-material interface is studied. The bimaterial is subjected to an in-plane electrical field parallel to the interface and an anti-plane mechanical loading. The problem is formulated and reduced, via the application of sectionally analytic vector functions, to a combined Dirichlet-Riemann boundary value problem. Simple analytical expressions for the stress, the electric field, and their intensity factors as well as for the crack faces' displacement jump are derived. Our numerical results illustrate the proposed approach and permit to draw some conclusions on the crack-electrode interaction.

Bond zone model for a conductive crack at the interface of piezoelectric materials under anti‐plane mechanical and in‐plane electric loadings

“…Lapusta et al . analyzed a crack in a piezoelectric bimaterial with mixed conditions at the crack faces and Onopriienko et al . considered an interaction between a conducting interface crack and an electrode.…”

“…Cracked magnetoelectroelastic solids under anti-plane mechanical and in-plane electric and magnetic fields were considered by Hu and Chen [14] and Mousavi. [15] Lapusta et al [16] analyzed a crack in a piezoelectric bimaterial with mixed conditions at the crack faces and Onopriienko et al [17] considered an interaction between a conducting interface crack and an electrode. More detailed review of anti-plane crack problem investigation in piezoelectric bimaterials is presented in Govorukha et al [18] Most of the investigations mentioned above are performed in the framework of electrically permeable or impermeable conditions on the crack faces.…”