Asymmetric thermo-elastic analysis of long cylindrical shells of functionally graded materials by differential quadrature method

Asymmetric thermo-elastic analysis of a long cylindrical shell made of functionally graded material under the effect of thermo-mechanical loadings is carried out. Material properties of the cylindrical shell are assumed to be graded in the radial direction according to a power law function, while the Poisson's ratio is assumed to be constant. Numerical solutions of displacement, stress, and temperature fields are obtained using the Fourier and polynomial differential quadrature methods. The results are compared with the reported analytical solutions which are found to be in very good agreement. The cylindrical shell is considered to be under the effect of both axisymmetric and asymmetric loading conditions. Effects of grading parameter, temperature difference, and the ratio of the outer to inner radii of the cylindrical shell on stresses, displacement, and temperature fields are presented.