Three-dimensional solution for transient thermoelastic problem of a functionally graded rectangular plate with piecewise exponential law
Three-dimensional solution for transient thermoelastic problem of a functionally graded rectangular plate with piecewise exponential law
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DOI：
10.1016/j.compstruct.2013.06.019
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发表时间：
2013-12
影响因子：
6.3
通讯作者：
Y. Ootao;M. Ishihara
中科院分区：
文献类型：
--
作者：
Y. Ootao;M. Ishihara
本文研究了具有分段指数律的功能梯度矩形板在非均匀热源下的瞬态热弹性问题的理论处理。假设每一层的热和热弹性常数沿厚度方向呈指数变化，其值在界面上继续变化。得到了简支矩形板在瞬态下三维温度变化和热弹性响应的精确解。温度变化、位移和应力分布的一些数值结果如图所示。
This paper is concerned with the theoretical treatment of transient thermoelastic problem involving a functionally graded rectangular plate with piecewise exponential law due to nonuniform heat supply. The thermal and thermoelastic constants of each layer are assumed to vary exponentially in the thick direction, and their values continue on the interfaces. We obtain the exact solution for the three-dimensional temperature change in a transient state, and thermoelastic response of a simple supported rectangular plate. Some numerical results for the temperature change, the displacement and the stress distributions are shown in figures.