Exact Solutions for Functionally Graded Piezothermoelectric Platesin Cylindrical Bending
Shang Ertao,Zhong Zheng
(Key Laboratory of Solid Mechanics of MOE, Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, China)

Abstract: The state equations of the functionally graded piezothermoelectric material are developed based on the basic equations of the anisotropic piezothermoelectric material. Assuming that the mechanical, electric and thermal properties of the material have the same exponent-law dependence on the thickness-coordinate, we obtain an exact solution for the cylindrical bending problem of a simply supported, grounded and isothermal plate under arbitrary mechanical, electric and thermal loading on the top and bottom surfaces. The influence of different functionally graded material properties on the structural response of the plate to the mechanical, electric and thermal stimuli is studied through examples.
Keywords: functionally graded piezothermoelectric materials, plate, cylindrical bending, state space approach, exact solution.