Numerical analysis of static thermal stresses in a nonlinear, isotropic, thermaelas-tic, thick cylindrical shell and a cube is presented using the nonlinear thermoelas-ticity. The geometrical relations, equilibrium equations, and Fourier's law are linear while the constitutive relations accounting for the id-order elastic moduli and the temperature-dependent 2d-order elastic moduli and coefficient of thermal expansion are nonlinear. Nonlinear effects are numerically investigated for a cylindrical shell and a cube made of D54S aluminum alloy.