中文摘要：

压电压磁复合材料具有力、电、磁之间的多场耦合特性,在智能元器件上有广泛的应用前景,近年来得到了众多研究者的关注。以压电压磁双层板为例,基于锯齿形结构理论的思想,在每一层中单独假设位移、电势和磁势,通过满足界面处位移和剪应力连续及上下表面剪应力为零的条件,将独立变量或常数的个数降低为7个。进一步采用变分原理,建立了相应的控制方程和边界条件。针对四边简支的压电压磁双层板,给出了类似于经典纳维解的解析解,并进行了数值计算。结果表明,采用锯齿形板理论,可以保证剪应力在界面是连续的,这在电磁耦合特性依赖于界面传递的压电压磁复合材料结构的分析中十分重要。

英文摘要：

Piezoelectric-piezomagnetic composites have shown a wide and brilliant prospect of applications due to the multi-field coupling effects among mechanical, electric, and magnetic fields, and have attra- cted a lot of research interests in recent years. A piezoelectric-piezomagnetic bilayer for the development of a new zig-zag structural theory was considered. In each layer, the displacements and electric and mag- netic potentials were assumed to vary linearly along the thickness direction, and after making use of the continuity conditions of displacements and shear stresses at the interface as well as the zero shear stresses conditions at the two surfaces, the independent unknown functions （or constant） were reduced to seven. Then, by virtue of the variational principle, the governing equations as well as the boundary conditions were derived. For a bilayer plate with four edges simply supported, an analytical solution which is similar to the classical Navier solution was presented. Numerical results were given, which show that with the developed zig-zag theory, the shear stresses can be continuous across the interface between the piezoelec- tric layer and the piezomagnetic layer. This is a very important aspect in the piezoelectric piezomagnetic composites since the electric and magnetic fields are coupled mechanically through the interface.