Thermoelectroelastic Green's function for a piezoelectric plate containing an elliptic hole
نویسنده
چکیده
Using Stroh's formalism and conformal mapping, Green's functions are obtained in closed-form for an in®nite thermopiezoelectric plate with an elliptic hole induced by temperature discontinuity. The Green's function satis®es freetraction-charge as well as thermal-insulated conditions along the hole boundary. Based on the Green's function, a system of singular integral equations for the unknown temperature discontinuity de®ned on crack faces is developed to study the interaction between crack and elliptic hole. Numerical results are presented to elucidate the eects of crack orientation on stress and electric displacement (SED) intensity factors and to illustrate the application of the proposed Green's function. Ó 1998 Elsevier Science Ltd. All rights reserved.
منابع مشابه
Thermoelectroelastic GreenÕs function for thermal load inside or on the boundary of an elliptic inclusion
The thermoelectroelastic GreenÕs functions are presented for an in®nite piezoelectric plate with an elliptic inclusion of dissimilar material induced by a thermal load located inside or on the boundary of the elliptic inclusion. The load may be a point heat source and the thermal analog of a line dislocation with temperature discontinuity. The derivation is based on the Stroh formalism, conform...
متن کاملThermoelectroelastic solution for elliptic inclusions and application to crack±inclusion problems
The thermoelectroelastic solution for an elliptic piezoelectric inclusion embedded in an in®nite matrix and its application to crack±inclusion problems are investigated in this paper. By combining the method of Stroh's formalism, the technique of conformal mapping, the concept of perturbation and the method of analytical continuation, a general analytical thermoelectroelastic solution for an el...
متن کاملThermoelectroelastic Green's function and its application for bimaterial of piezoelectric materials
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 app...
متن کاملBuckling Analysis of Rectangular Functionally Graded Plates with an Elliptic Hole Under Thermal Loads
This paper presents thermal buckling analysis of rectangular functionally graded plates (FG plates) with an eccentrically located elliptic cutout. The plate governing equations derived by the first order shear deformation theory (FSDT) and finite element formulation is developed to analyze the plate behavior subjected to a uniform temperature rise across plate thickness. It is assumed that the ...
متن کاملNew Method for Large Deflection Analysis of an Elliptic Plate Weakened by an Eccentric Circular Hole
The bending analysis of moderately thick elliptic plates weakened by an eccentric circular hole has been investigated in this article. The nonlinear governing equations have been presented by considering the von-Karman assumptions and the first-order shear deformation theory in cylindrical coordinates system. Semi-analytical polynomial method (SAPM) which had been presented by the author before...
متن کامل