功能梯度压电矩形板热机电耦合三维分析  

Three-dimensional analysis of thermo-mechanical-electric behaviour of functionally gradient piezoelectric material rectangular plate

作　　者：方诗圣[1] 柳彬彬[1] 王建国[1] 

机构地区：[1]合肥工业大学土木建筑工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2008年第3期407-411,共5页Journal of Hefei University of Technology：Natural Science

基　　金：教育部重点资助项目(105094)

摘　　要：文章对于四边简支功能梯度压电材料矩形板进行热机电耦合三维分析。直接从横观各项同性的压电材料的基本方程出发,通过引入2个位移函数和应力函数,导出了1个二阶的齐次状态方程和六阶的非其次状态方程;分析中采用层合近似模型,并且给出了任意厚度的四边简支横观各项同性功能梯度矩形板,在热-机-电械耦合作用下的分析结果。This paper presentes a three-dimensional analysis of a functionally gradient piezothermoelectric material plate that is simply supported along its four edges. By introduction of two displacement functions and two stress functions, a second-order homogeneous state equation and a sixth-order inhomogeneous state equation are derived based on the three-dimensional equations in thermoelasticity. A laminate approximation model, in which the plate is divided into a certain number of sufficiently thin layers, is employed. The thermoelastic analysis of a simply supported transversely isotropic functionally graded rectangular plate of arbitary thickness is given.

关 键 词：功能梯度压电材料 状态变量法 矩形板 

分 类 号：TB34[一般工业技术—材料科学与工程] O343.6[理学—固体力学]