Line Force, Charge, and Dislocation in Anisotropic Piezoelectric Composite Wedges and Spaces

Abstract

Two-dimensional problems of anisotropic piezoelectric composite wedges and spaces are studied. The Stroh formalism is employed to obtain the basic real-form solution in terms of two arbitrary constant vectors for a particular wedge. Explicit real-form solutions are then obtained for (i) a composite wedge subjected to a line force and a line charge at the apex of the wedge and (ii) a composite space subjected to a line force, line charge, line dislocation, and an electric dipole at the center of the composite space. For the composite wedge the surface traction on any radial plane θ = constant and the electric displacement Dθ normal to the radial plane θ = constant vanish everywhere. For the composite space these quantities may not vanish but they are invariant with the choice of the radial plane.

A piezoelectric screw dislocation interacting with an elliptical inclusion containing electrically conductive interfacial rigid lines

“…Pak [2] obtained the closed form solutions for a screw dislocation in a piezoelectric solid subjected to external loads, and derived the generalized Peach-Koehler forces acting on the screw dislocation. Chung and Ting [3] investigated a line dislocation at the apex of a piezoelectric composite wedges or spaces. Liu et al [4] and Gao and Fan [5] solved the problem of a line force, charge and dislocation in anisotropic piezoelectric material with an elliptic hole or a crack.…”

Electromechanical fracture analysis for corners and cracks in piezoelectric materials

“…However, relatively few discussions have been devoted into corners in piezoelectric materials (Chung and Ting, 1995;Xu and Rajapakse, 2000;Weng and Chue, 2004) and the connections between cracks and corners. Recently, a unified definition of stress intensity factor was proposed (Hwu and Kuo, 2007) to build a bridge connecting the failure prediction among the interface corners, interface cracks and cracks in homogeneous materials.…”

EXPLICIT SOLUTIONS FOR AN ANISOTROPIC PIEZOELECTRIC HALF-SPACE SUBJECT TO LINEARLY-VARYING SURFACE LOADINGS ALONG x3-DIRECTION

“…Among various analytical methods, the extended Stroh formalism [Barnett and Lothe, 1975;Pak, 1990;Suo et al, 1992;Chung and Ting, 1995;Ting, 1996;Wang and Mai, 2003;Hwu, 2008] is an elegant and powerful tool for the study of twodimensional deformation of anisotropic piezoelectric materials. In particular, for piezoelectric half-spaces, Kuo and Barnett [1991] studied stress singularities of interfacial cracks in bonded half-spaces.…”