mechanical stresses in a linear plastic fgm hollow cylinder due to non-axisymmetric loads

in this paper, an analytical solution for computing the linear plastic stresses and critical pressure in a fgm hollow cylinder under the internal pressure due to non-axisymmetric loads is developed. it has been assumed that the modulus of elasticity was varying through thickness of the fgm material according to a power law relationship. the poisson's ratio was considered constant throughout the thickness. the general form of mechanical boundary conditions is considered on the inside surfaces. in the analysis presented here the effect of non-homogeneity in fgm cylinder was implemented by choosing a dimensionless parameter, named m, which could be assigned an arbitrary value affecting the stresses in the cylinder. distribution of stresses in radial, circumferential and shear directions for fgm cylinders under the influence of internal pressure were obtained. graphs of variations of stress versus radius of the cylinder were plotted. the direct method is used to solve the navier equations.