摘要
Based on the general solution of three-dimensional problems inpiezoelectric medium, with the method of Green's functins~[2],axisymmetric boundary-value problems are discussed. The purpose ofthis research is for analyzing the effective on mechanics andelectricity of the piezoelectric ceramics caused by voids andinclusions. The displacement, traction and electric Green's functionscorresponding to circular ring loads acting in the interior of apiezoelectric ceramic are obtained. A cylindrical coordinate systemis employed and Hankel transform are applied with respect to radialcoor- dinates. Explicit solutions for Green's functions are presentedin terms of infinite integrals of Lipshitz- Hankel type. By solving atraction boundary-value problem, the solution scheme is illustrate.
Based on the general solution of three-dimensional problems inpiezoelectric medium, with the method of Green's functins~[2],axisymmetric boundary-value problems are discussed. The purpose ofthis research is for analyzing the effective on mechanics andelectricity of the piezoelectric ceramics caused by voids andinclusions. The displacement, traction and electric Green's functionscorresponding to circular ring loads acting in the interior of apiezoelectric ceramic are obtained. A cylindrical coordinate systemis employed and Hankel transform are applied with respect to radialcoor- dinates. Explicit solutions for Green's functions are presentedin terms of infinite integrals of Lipshitz- Hankel type. By solving atraction boundary-value problem, the solution scheme is illustrate.
基金
the National Natural Science Foundation of China
the Foundation of the Open Laboratory of Solid Mechanics
