The new composite functionally classified materials (FGM) used in plates contain probably a porosity volume fraction which needs taking into account this aspect of imperfection in the thermo-mechanical behavior of such structures. A refined shear deformation theory is developed to investigate the thermo-mechanical bending response of porous advanced composite plates such as functionally graded plates by using Navier solution. This work presents a model that employed a new transverse shear function by decomposing the transverse displacements into two parts, the bending part and shear part, the simplified refined shear deformation theory has less unknowns than the first-order shear deformation theory, the higher-order shear deformation theory, the sinusoidal shear deformation theory and the quasi-3D theory, so its computational expenses are reduced. In addition, the new refined theory needs no shear correction factor. The comparisons of deflection, axial stresses, and transverse shear stresses of the porous FGM plates obtained by the proposed theory, these results are compared with others in the literature.

用于板的新的复合功能分类材料（FGM）可能包含孔隙体积分数，需要考虑这种结构的热机械行为的这一方面的缺陷。建立了精细的剪切变形理论，以研究使用Navier解决方案的多孔高级复合板（例如功能梯度板）的热机械弯曲响应。这项工作提出了一个模型，该模型通过将横向位移分解为弯曲部分和剪切部分两个部分而采用了新的横向剪切函数，简化的精细剪切变形理论的未知数要少于一阶剪切变形理论的未知数，即高阶剪切变形理论，正弦剪切变形理论和准3D理论，因此减少了计算量。另外，新的改进理论不需要剪切校正因子。通过所提出的理论获得的多孔FGM板的挠度，轴向应力和横向剪应力的比较，这些结果与文献中的其他结果进行了比较。