A semi-analytical method for piezocomposite structures with arbitrary interfaces

A general three-dimensional semi-analytical solution of piezocomposite media consisting of various domains of distinct electro-mechanical properties is proposed. The interfaces between the domains may be non-planar. The geometry and boundary conditions may be arbitrary, and the applied loading can be in the form of traction, displacement, voltage, or any combination of them. In this approach, the unknown displacement field u1, u2, u3, and the electric potential Φ are taken as appropriate functions in each domain, such that the continuity of the displacement field and the electric potential are exactly satisfied at the interfaces. Also, the continuities of traction stresses and normal electric displacement across the interfaces are resolved with high accuracy. The homogeneous and non-homogeneous kinematic boundary conditions associated with the electric potential and the displacement field are incorporated at the boundaries exactly.