حل كلي استوانه هاي جدار ضخيم متقارن محوري ساخته شده از مواد ناهمگن FG با استفاده از نظريه الاستيسيته مستوي

General Solution of Plane Elasticity of Axisymmetric Functionally Graded Thick Cylinderical Shells

Abstract- In this paper, an analytical formulation of FGM axisymmetric thick-walled cylinders, based on the plane elasticity theory is presented. The stress and displacements in thick cylindrical shell are calculated using the real, double and complex roots of characteristic equation. Solutions are obtained under generalized plane stress, plane strain and closed-ends cylinder assumptions. It is assumed that the material is isotropic and heterogeneous with constant Poissnʹs ratio and radially varying elastic modulu. The results have been compared with findings of the researcher (2001) [hoop stress is incorrect], and we have present corrected version as well as supplementary findings. Keywords: Thick-Walled Cylinder, FGM, Plane Elasticity.