INFLUENCE OF THE VOID DISTRIBUTION ON MACRO-RESPONSES OF FUNCTIONALLY GRADED PLATES
空隙分布对功能梯度板件宏观响应的影响

Complex microstructures of functionally graded materials and their geometry make related strucutres more complex than plates, cylindrical shells and spherical shells. Therefore, the analytic solution of functionally graded structure is difficult to obtain, and the approximate solution and other calculation methods are used frequently. A new microelement method for the analysis of functionally graded structures is suggested to establish a quantitative relation between the macro-characteristics and microstructures of functionally graded materials, and different combinations of materials for different macro-characteristics can be found. By this microelement method, the influence of voids on the macro-responses can be analyzed. The three-dimensional distributions of mechanical quantities of the functionally graded plates with different distributions, forms and positions of the voids are given, a trans-scale analysis between micro-constitution and macro-response of the functionally graded materials and structures can be carried out.