Strain gradient thermoelasticity of functionally graded cylinders

In this paper, strain gradient thermo-elasticity formulation for axisymmetric Functionally Graded (FG) thick-walled cylinders is presented. For this purpose, the elastic strain energy density function is considered to be a function of gradient of strain tensor in addition to the strain tensor. The material properties are assumed to vary according to a power law in radial direction. Using the constitutive equations and equation of equilibrium in the cylindrical coordinates, a fourth order non-homogenous governing equation for thermo-elastic analysis of thick-walled FG cylinders subjected to thermal and mechanical loadings is obtained and solved numerically. Results show that the intrinsic length parameter aects the stress distribution in FG thick-walled cylinders greatly and increasing 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.