Elastic analysis of heterogeneous thick cylinders subjected to internal or external pressure using shear deformation theory

Abstract

An analytical formulation based on the first-order shear deformation theory (FSDT) is presented for axisymmetric thick-walled heterogeneous cylinders under internal and external uniform pressure. It is assumed that the material is isotropic heterogeneous with constant Poisson's ratio and radially varying elastic modulus. First, general governing equations of the heterogeneous thick cylinders are derived by virtual work principle, and using FSDT. Then the obtained equations are solved under the generalized plane strain assumptions. The results are compared with the findings of both plane elasticity theory (PET) and finite element method (FEM).