本项目主要研究刚性圆柱形压头与磁电弹性复合材料的若干基本接触力学问题。主要内容包括：求解刚性圆柱形压头与均匀磁电弹性涂层半平面之间的滑动摩擦接触问题；研究功能梯度磁电弹性涂层半平面在刚性圆柱形压头作用下的滑动摩擦接触问题，并假设涂层材料参数沿厚度方向按指数函数变化，同时考虑四种具有不同导电和导磁特性的压头：电磁传导、电磁绝缘、电传导磁绝缘和电绝缘磁传导压头。此外，将进一步研究刚性圆柱形压头与均匀磁电弹性材料/功能梯度磁电弹性材料之间的滑动摩擦热接触问题。本研究的主要目的是：考查热、电、磁、弹性参数的梯度变化对接触力学特性的影响；研究如何通过改变材料梯度变化来调节表面接触应力、电位移和磁感应强度分布，从而实现材料表面抗接触损伤的优化设计。该项目的成功实施，有望给我们提供一种技术手段来改善磁电弹性接触损伤，增强智能器件的安全可靠性，提高其寿命。

The sliding-frictional contact problems between the magneto-electro-elastic materials and a rigid cylindrical punch would be processed in this project. At the first step, we will focus on the contact problems of the homogeneous and functionally graded magneto-electro-elastic layered half-plane subjected to a rigid cylindrical punch. It is assumed that the material parameters vary exponetially along the thickness direction, and four kinds of punches are considered: the electro-magnetic conducting punch, the electro-magnetic insulatng punch, the electric contucting and magnetic insulating punch and the electric insulating and magnetic conducting punch. Then, the thermo-frictional contact problem of the magneto-electro-elastic materials under a cylindrical punch will be derived. The main purpose of this project is to investigate the effects of the gradient index and the thermo-electro-magnetic parameters on the  contact behaviors including the surface contact stresses, electric displacements and magnetic inductions.