ANALYTICAL SOLUTIONS OF CROSS-PLY PIEZOELECTRIC COMPOSITE LAMINATES WITH VARIOUS BOUNDARY CONDITIONS

A piezoelectric composite laminate consists of piezoelectric and fabric layers. Based on the displacement and potential fields of equivalent single layer theories, piezoelectric equilibrium equations are built and the analytical solutions are deduced for a cross-ply piezoelectric composite laminate in cylindrical bending with various boundary conditions. The analytical solutions consist of particular and complementary solutions. The particular solution is obtained for simply-supported boundary conditions, while the complementary solution is determined by other boundary conditions. The equilibrium equations have only four variables regardless of the number of layers. The analytical solutions of the first-order, Reddy#x02019;s higher-order, and exponential-type theories may be obtained when the corresponding distribution functions of displacement and potential are used. The results of displacement, stress and potential under various boundary conditions are given and the accuracy of various theories is discussed in numerical examples. The singular effects of stresses near clamped edges are observed.