Thermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials

Abstract

For a two-dimensional piezoelectric plate, the thermoelectroelastic Green's functions for bimaterials subjected to a temperature discontinuity are presented by way of Stroh formalism. The study shows that the thermoelectroelastic Green's functions for bimaterials are composed of a particular solution and a corrective solution. All the solutions have their singularities, located at the point applied by the dislocation, as well as some image singularities, located at both the lower and the upper half-plane. Using the proposed thermoelectroelastic Green's functions, the problem of a crack of arbitrary orientation near a bimaterial interface between dissimilar thermopiezoelectric material is analysed, and a system of singular integral equations for the unknown temperature discontinuity, de®ned on the crack faces, is obtained. The stress and electric displacement (SED) intensity factors and strain energy density factor can be, then, evaluated by a numerical solution at the singular integral equations. As a consequence, the direction of crack growth can be estimated by way of strain energy density theory. Numerical results for the fracture angle are obtained to illustrate the application of the proposed formulation.

Study on the Interface Effects Based on Two-Dimensional Green's Functions for the Fluid and Pyroelectric Two-Phase Plane under a Line Heat Source

“…Thus, A ( = 1, 2, 3, 4) can be determined by (22), (25), and (33). A 4 ( = 1, 2, 3, 4) and A 5 can be determined by (37a), (37b), (38a), and (38b).…”

“…When the thermal effects are considered, Qin and Mai [33] derived a series of two-dimensional Green's functions for the anisotropic pyroelectric material with cracks, holes, and inclusions. Chen [34] derived a compact three-dimensional general solution for transversely isotropic pyroelectric materials.…”

“…Green's functions for a line heat source in a fluid and pyroelectric two-phase plane are the fundamental problem in this area. To the authors' knowledge, some literatures are concentrated on the heat transfer between solid and solid [33,39,40], while the literature on heat transfer between solid and fluid is little reported.…”

Numerical Simulation of Effective Properties of 3D Piezoelectric Composites

“…These materials have been widely applied in the industry for fabricating devices including sensors, transducers, and actuators in some of the most promising areas such as aerospace industry and biotech. To enhance understanding of electromechanical coupling mechanism in piezoelectric materials and to explore their potential applications in practical engineering, numerous investigations, either analytically or numerically, have been reported over the past decades [3][4][5][6][7][8][9][10][11]. Due to the limitation of analytical methods which are available for problems with simple geometries and loading conditions numerical methods are usually employed in solving most practical problems [5,12].…”

Double-layered piezo-thermoelastic hollow cylinder under some coupled loadings

“…Therefore the mechanical response of structures excited by thermal loading is of increasing interest in engineering research and a large number of investigations have been made on these subjects. For example, theoretical analysis of the control of displacement was developed for a composite rectangular plate constructed from an isotropic elastic layer and a piezoelectric layer due to nonuniform heat supply [7], and the thermal stress distribution in a particle-reinforced functionally gradient material (FGM) [8] or piezo-thermoelastic plate [9,10] was obtained. On the other hand, the investigation of the effects of temperature on piezoelectric sensors found that even moderate fluctuations of temperature within 200 • C could significantly change the voltage reading from the sensors [11].…”