The stationary heat conduction problem for radiation-heat shield of the reactor nuclear power plant based on domestic sources of heat was solved. We took into account the dependence of the thermal conductivity of the concrete on the temperature, which leads to nonlinear problem. The solution is performed using the finite element method in combination with the method of successive approximations. We used the simplex triangular elements. The problem was solved in axisymmetric formulation. As a design scheme we used a rigidly clamped at the base thick-walled cylinder. It was found that the inclusion of thermal conductivity depending on the temperature leads to a slight (2.5%) increase of temperature in core of the construction.

Keywords: thermal conductivity, finite element method, the steady-state temperature field, radiation-heat shield, thick-walled cylinders

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