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

作　　者：尚尔涛[1] 仲政[1] 

机构地区：[1]同济大学,上海200092

出　　处：《应用力学学报》2003年第4期122-125,共4页Chinese Journal of Applied Mechanics

基　　金：国家杰出青年科学基金资助项目 (批准号 :10 12 5 2 0 9);国家自然科学基金资助项目 (批准号 :10 0 72 0 41);高等学校优秀青年教师教学科研奖励基金资助项目

摘　　要：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.

关 键 词：状态空间法 功能梯度热释电材料 柱形弯曲 机械荷载 电荷载 热荷载 复合材料 热传导方程 

分 类 号：TB333[一般工业技术—材料科学与工程]