Strain gradient thermoelasticity of functionally graded cylinders

In this paper, strain gradient thermo-elasticity formulation for axisymmetricfunctionally graded (fg) thick-walled cylinders is presented. for this purpose, theelastic strain energy density function is considered to be a function of gradient of straintensor in addition to the strain tensor. the material properties are assumed to varyaccording to a power law in radial direction. using the constitutive equations and equationof equilibrium in the cylindrical coordinates, a fourth order non-homogenous governingequation for thermo-elastic analysis of thick-walled fg cylinders subjected to thermal andmechanical loadings is obtained and solved numerically. results show that the intrinsiclength parameter aects the stress distribution in fg thick-walled cylinders greatly andincreasing the intrinsic length parameter reduces the maximum radial and hoop stresses.also, the eects of fg power indices on the radial and hoop stresses are studied.