Semi-analytical method for 3-D analysis of functionally graded material plates with complex boundary conditions

The basic formulas of semi-analytical method applied to the analyses of functionally graded structures were derived,and according to the characteristics of functionally graded material parameters varying with the space coordinates,the material parameters were entered into mechanical equations for the whole integral calculation,then the unified program was formed for calculating plate problems under different boundary conditions.The method,which has strong adaptability,brevity and high efficiency,is different from general semi-analytical method,can use 1-D discretization,obtain 3-D analytical results.It's an effective numerical method to solve mechanical analysis of functionally graded material structures.In the paper the semi-analytical method was used to analyse several different functionally graded material plates with complex boundary conditions,and the 3-D distributions of mechanical quantities were given.