梯度功能压电复合材料球壳的热弹性近似解

Approximate thermoelastic solutions of functionally gradient piezoelectric composite spheres

针对梯度功能压电复合材料球壳热弹性响应提出了简单而精确的近似解。借鉴纤维复合材料层合结构的研究方法，将梯度功能压电复合材料球壳沿径向分为若干层，各层视为均匀材料，从而导出力-电-温度多场耦合近似解。只要层数足够大，解将收敛于精确解。该方法的另一个优点在于解的方法对材料性能的变化方式（函数）没有要求，具有普适性。这对其它非均匀材料结构的分析具有推广、应用价值。

A simple and accurate approximate solutions of therrnoelastic responses of functionally gradient piezoelectric composite spheres is developed. A functionally gradient material sphere is divided to a number of layers through its thickness like a composite laminate, each layer with constant material properties. The approximate coupling solutions of temperature, displacement and potential are thus obtained conveniently. The present solutions will converge to the exact solutions if the number of layers is big enough. Another merit of this method is that the solutions are independent of the distribution functions of material properties through thickness. The method used in this paper also shows its potential application in the responses of other non-isotropic material structures.