| Based on the theory of elasticity and piezoelectricity, formulas for the three-dimensional finite element analysis of laminated piezoelectric plates are presented. According to the fundamental equations of elastic and electric fields, total potential energy for the electro-elastic laminate under general boundary conditions is established. By using 3-D isoparametric element, the global stiffness matrix equation for the piezoelectric laminate is obtained on the bases of minimum principle of total potential energy. The boundary conditions related to electric variables are discussed and this facilitates the solution of global stiffness equation. Numerical examples are given at the end of the paper to calculate laminated plates with various kinds of elastic and electric boundary conditions. Some results are compared with analytical ones. |
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