中文摘要：

压电材料作为一种拥有优越机电耦合性能的智能材料，其力学性能受到了研究者的广泛关注。本文采用有限元方法分析压电半空间在刚性球形压头和刚性圆柱平底压头作用下的压痕响应。文中假定两种形状的刚性压头均为绝缘体压头。利用有限元软件ANSYS，本文分析了在荷载作用下，压电材料在球形和圆柱形压头作用下的压入深度、接触半径、表面接触应力和接触区域电势曲线。另外，本文还利用数值结果对理论解进行验证。

英文摘要：

Piezoelectric material is a kind of intelligent material. It has the excellent coupled mechanical-electricalcharacteristics. The mechanical performance of piezoelectric materials has received extensive attention of the researchers. Inthis paper, the indentation responses problems of piezoelectric half-space under a rigid sphere punch or a rigid flat cylindricalpunch are considered by using the finite element methods. It is assumed that two kinds of punches are insulated. The finiteelement software package ANSYS is used to calculate the indentation depth, contact radius, surface contact pressure and electricpotential of the piezoelectric materials under the sphere and cylindrical punch under the applied load. Otherwise, this paper givesthe numerical results to verify the theoretical solution.