A moving screw dislocation interacting with an imperfect piezoelectric bimaterial interface

Abstract

Closed-form solutions in terms of exponential integrals are derived for a constantly moving screw dislocation in a piezoelectric bimaterial with an imperfect interface. The imperfect interface discussed here is mechanically compliant and dielectrically weakly (or highly) conducting. The electroelastic fields due to the moving dislocation, such as stresses, strains, electric displacements and electric fields, are obtained for this bimaterial. The solutions derived here are valid when the moving velocity of the screw dislocation is below the Bleustein -Gulyaev wave speeds of the two piezoelectric half-planes. This restriction is different from that in a perfectly bonded bimaterial where the moving velocity of the screw dislocation is below the piezoelectrically stiffened bulk shear wave speeds of the two piezoelectric half-planes. Numerical results are also presented to demonstrate the influence of the interface imperfection and the velocity of the moving dislocation on the electroelastic fields in the piezoelectric bimaterial.

Effect of an imperfect interface on the SH wave propagating in a cylindrical piezoelectric sensor

“…1 is damaged electrically and/or mechanically. The interface imperfection complies with the following spring-type relation [6][7][8][11][12][13] where l ¼ a 0 0 Àb ! and the two interface parameters a and b are uniform and non-negative constants.…”

“…In the past years, investigations on the imperfect interfaces of piezoelectric structures have been an active field in mechanics of smart materials. Various problems have been studied, for example, the vibration of a piezoelectric cylinder with an imperfect interface [1], the bending of angle-ply piezoelectric laminates with interface damages [2,3], the tension of a piezoelectric fiber poorly bonded to a matrix [4], the elastic waves in imperfectly bonded piezoelectric structures [5,6], the piezoelectric screw dislocations interacting with an imperfect interface [7][8][9], SH wave propagating along a piezoelectric/piezomagnetic imperfect interface [10], the interaction between a crack and a piezoelectric imperfect interface [11][12][13], and so on. In these investigations, a spring-type relation is widely accepted to characterize the constitutive behaviors of imperfect interfaces, i.e., not only the dislocation on the interface is proportional to the corresponding stress component, but also the electric potential difference has linear relation with the corresponding component of the electric displacement.…”

Screw dislocations interacting with a coated inhomogeneity containing two imperfect interfaces

“…Furthermore, the solution of the interaction between a single dislocation and the inhomogeneity can be served as a kernel function in an integral equation formulation to study the crack-inhomogeneity interaction in composites. Due to its importance, a number of contributions have been considered on this topic during the last several decades (see, for example, [1][2][3][4][5][6][7][8][9][10][11][12] and references cited therein).…”

Exact Solutions for Simply Supported and Multilayered Piezothermoelastic Plates with Imperfect Interfaces

“…This kind of simplification of the interface is not enough to reflect various damage occurring on the interface (e.g., debonding, sliding and/or cracking across the interface), and as a result the concept of imperfect interface should be incorporated. Up to now various imperfect interface models have been proposed in the context of heat conduction [10][11][12], dielectricity [13,14] and elasticity [15][16][17][18][19][20].…”