The article conducts a study of the stress-strain state of the protective structure, taking into account temperature and radiation effects. Dry protection is a thick-walled cylindrical shell rigidly clamped at the base. The analysis is carried out in axisymmetric formulation. The calculation of the stress-strain state is preceded by the determination of the distribution of physical fields in the thickness of the structure. The stationary temperature field is considered taking into account internal sources of heat release. The diffusion approximation is used to determine the distribution of the neutron fluence. The calculation is performed numerically using the finite element method in the Matlab package. The results are compared with and without induced inhomogeneity. The significant influence of inhomogenity on stresses in the structure is shown. At the same time, taking into account heterogeneity does not lead to a significant change in displacements.

Keywords: thick-walled cylinders, stress-strain state, numerical methods, neutron fluence, temperature field, inhomogeneity, finite element method

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