Axisymmetric boundary-value problems in a piezoelectric medium

作者：Zheng BL; Wang ZK; Ji X; Xue ST

来源：Acta Mechanica Solida Sinica, 1998, 11(2): 104-112.

• piezoelectric ceramics
• voids and inclusions
• Hankel transforms
• general solution
• Green's functions

Based on the general solution of three-dimensional problems in piezoelectric medium, with the method of Green's functins([2]), axisymmetric boundary-value problems are discussed The purpose of this research is for analyzing the effective on mechanics and electricity of the piezoelectric ceramics caused by voids and inclusions. The displacement, traction and electric Green's functions corresponding to circular ring loads acting in the interior of a piezoelectric ceramic are obtained. A cylindrical coordinate system is employed and Hankel transform are applied with respect to radial coordinates. Explicit solutions for Green's functions are presented in terms of infinite integrals of Lipshitz-Hankel type. By solving a traction boundary-value problem, the solution scheme is illustrated.

• 出版日期1998-6
• 单位西安交通大学