Two-dimension Analysis Of Functionally Graded Material Cylindrical Shell And Hollow Circular Cylinder

It has becoming a new research hotspot of the structural analysis for functionally graded material recently. This thesis gave the two-dimension analysis of functionally graded material cylindrical shell and hollow circular cylinder.This thesis first summarized the current study status of the developments and applications concerned with Functionally Graded Materials (FGM); introduced the methods to solve the problem of the mechanics behaviors of FGM plate and shell, especially to obtain the exact results.Then in terms of stress function the governing differential equation is obtained for the simple supported functionally graded cylindrical shell according to the basic equations of elastic mechanics. Assuming the Yang's elastic modulus of the material is proportional to the power functionρ~n in radius direction, the general solution of the governing differential equation is obtained by separation of the variables. Through the numerical examples, all of the displacement and stress components are analyzed.Assuming the Yang's elastic modulus of the material is proportional to the power functionρ~n in radius direction, the two-dimensional analysis is presented for the functionally gradient material hollow circular cylinder by using the similar stress function that is got in chapter 2. The stress boundary conditions are expanded in appropriate trigonometric Fourier series in the circumferential coordination to get the solution of the governing differential equation. Through the numerical examples, all of the displacement and stress components are analyzed.