The Influence of the Temperature Dependence of Thermomechanical Characteristics of FGM on the Thermostressed State of a Hollow Sphere

The uncoupled quasi-static problem of thermoelasticity for a hollow sphere was solved, taking into account the temperature dependence of the thermomechanical characteristics of the components of the functional gradient material (FGM). The temperature field has been determined, taking into account the complex heat exchange with media of time-varying temperature. The nonlinear non-stationary boundary value problem of thermal conductivity was solved by the numerical method of the lines. The corresponding problem of thermoelasticity was solved by its reduction to integral Fredholm equations of the second kind and by replacing the integral with a quadrature formula. For various models of homogenization of the properties of the selected metal-ceramic two-component material, the influence of the temperature dependence of thermophysical and mechanical characteristics on the thermostressed state of the hollow sphere has been investigated.