On axisymmetrical problem of layer with temperature dependent properties

•We analyse temperature and stresses in an elastic layer with temperature dependent properties.•The layer is fixed to a rigid foundation and loaded by normal forces on upper boundary.•The boundary planes are kept at constant but different temperatures.•The Young modulus is a power function of temperature and Poisson ratio is constant.•We observe that the maximal tensile stresses on the boundary can be reduced by its heating.

The paper deals with the axisymmetrical problem of thermoelastic layer with mechanical properties dependent on temperature. The boundary planes of the body are kept at constant but different temperatures. Moreover, the layer is assumed to be ideal fixed to a rigid foundation. The upper boundary plane is loaded by normal forces dependent on the radius. The considered stationary problem is solved according with the following scheme: (10) firstly the distribution of temperature is found, (20) secondly, assuming that the Young modulus is a power function of temperature and Poisson ratio is constant, the displacements and stress are calculated from adequate boundary value problem. The obtained results in the form of Hankel integrals are analysed numerically for the case of linear dependence of Young modulus on the temperature.