transient thermo-visco-elastic response of a functionally graded non-axisymmetric cylinder

in this study, the analysis of transient thermoelastic response of a functionally graded (fg) non-axisymmetric viscoelastic cylinder is presented. the material properties are assumed to be time- dependent and radially and circumferentially non-homogeneous. the finite element (fe) formulations of the thermoelastic problem are obtained using the virtual work method and all the coupling terms are considered. according to material dependencies and nonlinearity of the constitutive equation, an iterative-based fe solution is suggested in order to solve thermo-elastic equations. the effects of material in homogeneities on the time-dependent response of mechanical and thermal components are investigated. from the results of this study, it is concluded that, using appropriate material inhomogeneities can improve the magnitudes of stress components, especially shear stress.