A semi-analytical finite element model for the analysis of cylindrical shells made of functionally graded materials under thermal shock Academic Article uri icon


  • In the present work, a study of thermoelastic analysis of functionally graded cylindrical shells subjected to transient thermal shock loading is carried out. A semi-analytical axisymmetric finite element model using the three-dimensional linear elasticity theory is developed. The three-dimensional equations of motion are reduced to two-dimensional ones by expanding the displacement field in Fourier series in the circumferential direction involving circumferential harmonics. The material properties are graded in the thickness direction according to a power law. The model has been verified with the results of simple analytical isotropic cylindrical shells subjected to a transient thermal loading. Additional FGM results for stresses and displacements are presented. © 2008 Elsevier Ltd. All rights reserved.

author list (cited authors)

  • Santos, H., Soares, C., Soares, C., & Reddy, J. N.

citation count

  • 71

publication date

  • November 2008