A nonlinear analysis of thermal stresses in an incompressible functionally graded hollow cylinder with temperature-dependent material properties

• Approximate solution of heat conduction in an FGM hollow cylinder using perturbation technique.
• Exact solution of elasticity for the case of incompressible material.
• Distribution of quantities as functions of radial direction.

A nonlinear thermoelastic analysis of a thick-walled cylinder made of functionally graded material is performed. The dependence of material properties on temperature is taken into account. This makes the governing equations nonlinear. Thus, the perturbation technique is employed to solve the nonlinear heat conduction equation analytically. The so-obtained temperature field is then supplied to elasticity equations which are solved exactly for the case of incompressible elastic material to get displacement and stress distributions. Finally, the temperature field, material properties and radial stress versus the radial direction are plotted and discussed.