Determination of temperature-induced stresses in enclosing foam-plastic structures

A solution is presented for the problem of thermoelasticity of a thick-wall hollow cylindrical structure fashioned from foam polyurethane with an outer layer of basalt plastic. A method is proposed for determination of the temperature field across the section, which is based on solution of a nonlinear heat-conduction equation. The influence exerted by temperature on the magnitude of the specific heat conduction and elastic modulus, which takes into account the material’s heterogeneity, is indicated. A partial-linearization scheme using Kirchhoff transforms is proposed on the basis of solution of a linear equation with variable coefficients, and a successive-approximation scheme based on the finite-element method is employed.