The present paper deals with the effect of exponential temperature and moisture concentration on the bending and buckling analysis of functionally graded plates resting on two-parameter elastic foundations via a four-variable exponential shear deformation theory. The mechanical properties of the plates are assumed to vary through the thickness. The equations of equilibrium are derived using Hamilton’s principle. The present solutions are derived using Navier’s method. Using Navier’s solution the numerical results are presented and compared well with those available in the literature. Discussions are made to show how the foundation stiffness, hygrothermal loading and other parameters have a significant influence on the bending and buckling analysis of FG plates under hygrothermal and mechanical loading.

通过四变量指数剪切变形理论，研究了指数温度和水分含量对基于两参数弹性基础的功能梯度板弯曲和屈曲分析的影响。假定板的机械性能随厚度变化。平衡方程是根据汉密尔顿原理导出的。本解决方案是使用Navier方法得出的。使用Navier的解决方案，可以给出数值结果并将其与文献中的数值进行比较。讨论表明基础刚度，湿热载荷和其他参数如何在湿热和机械载荷下对FG板的弯曲和屈曲分析产生重大影响。