Abstract
It is essential to discussing and understanding of the behavior of functionally graded materials (FGM) when it subjected to thermal and mechanical loadings; an efficient and powerful numerical method is required to find out the heat transfer behavior and thermally-induced stresses. This work deals with an iteration method for numerical solving the problem of one-dimensional coupled thermoelasticity under given boundary conditions. This iteration based on the Adomain decomposition method. All the material properties have been considered variable on position with an exponential law. The numerical results have been calculated for different cases of the graded functional parameter. The numerical results have been shown in 2D and 3D figures. The results show that the graded functional parameter has significant effects on the temperature increment, the strain, the stress, and the displacement.