功能梯度热释电材料平板柱形弯曲问题的精确解

Exact Solutions for Functionally Graded Piezothermoelectric Plates in Cylindrical Bending

采用状态空间法 ,假定材料常数沿厚度方向均按同一指数函数规律变化 ,获得了功能梯度热释电材料平板柱形弯曲问题的精确解。通过算例 ,分析了在机械荷载、电荷载和热荷载分别作用下 。

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.