A three-dimensional exact state-space solution for cylindrical bending of continuously non-homogenous piezoelectric laminated plates with arbitrary gradient composition

作者：Lezgy Nazargah M^*

来源：Archives of Mechanics, 2015, 67(1): 25-51.

• exact solution
• state-space approach
• functionally graded piezoelectric materials
• laminated plate

MOST OF EXACT SOLUTIONS REPORTED FOR the analysis of functionally graded piezoelectric (FOP) plates are based on the assumption, that the graded plate consists of a number of layers, where the material properties within each layer are invariant. The limited works that consider the continuous variation of electro-mechanical properties are restricted to FOP materials with the exponent-law dependence on the thickness-coordinate. In the present paper, a three-dimensional (3D) exact solution is presented for cylindrical bending of the FOP laminated plates based on the state space formalism. In contrast to the other reported solutions which are restricted to FOP materials with the exponent-law dependence on the thickness-coordinate, the present exact solution considers materials with arbitrary compositional gradient. Moreover, no assumption on displacement components and the electric potential along the thickness direction of FOP layers is introduced. Regardless of the number of layers, equations of motion, charge equation, and the boundary and interface conditions are satisfied exactly. The obtained exact solution can be used to assess the accuracy of different FOP laminated plate theories and/or for validating finite element codes.

• 出版日期2015