Elastic Solution of a Constrained FG Short Cylinder Under Axially Variable Pressure

Abstract

Elastic analysis of a functionally graded thick cylinder under longitudinally variable mechanical loadings is studied in the present paper. The modulus of elasticity is graded along the thickness direction based on the power law function. The cylinder is subjected to variable pressure along the longitudinal direction. First order shear deformation theory is employed for description of a two dimensional displacement field. This is due to fully constrained boundary conditions of the cylinder. An analytical approach was proposed for solution of non homogenous system of differential equations and derivation of homogenous and particular solutions. This approach has capability to model different types of loading (constant, linear and other types) along the longitudinal direction. The effect of different constant and variable loads is considered on the elastic results of FG cylinder.