Abstract: Complex microstructures of functionally gradedmaterials and their geometry make related strucutres more complex than plates,cylindrical shells and spherical shells. Therefore, the analytic solution offunctionally graded structure is difficult to obtain, and theapproximate solution and other calculation methods are used frequently. Anew microelement method for the analysis of functionally graded structuresis suggested to establish a quantitative relation between the macro-characteristicsand microstructures of functionally graded materials, and differentcombinations of materials for different macro-characteristics can be found. Bythis microelement method, the influence of voids on the macro-responses can beanalyzed. The three-dimensional distributions of mechanical quantities ofthe functionally graded plates with different distributions, forms andpositions of the voids are given, a trans-scale analysis betweenmicro-constitution and macro-response of the functionally graded materialsand structures can be carried out.