Thermoelasticplastic deformation of a functionally graded spherical layer

The paper deals with the problem of calculation of residual stresses and displacements in functionally graded material under thermal treatment. The investigated multilayered object has a spherical form. The model of thermoelastic plastic deformation is used. The method of construction of analytical solution is proposed and discussed. The distributions of stresses and displacements in the one-dimensional problem of heating a multilayer sphere are obtained and graphically analysed.