Computer simulation of two-dimensional nonstationary problems of heat conduction for composite materials using the FEM

On the basis of the solution of a two-dimensional problem of thermal conductivity, the process of heat transfer in a plate made of composite materials is investigated by the finite element method. Linear triangular finite elements are used to solve the plane problem of heat conduction. With the developed algorithm and software, a numerical solution of specific problems is presented and the temperature field distribution is studied. The results obtained are compared with the analytical solution. Isotherms of temperature distribution in a nonhomogeneous plate with inclusions are given. The influence of concentrators on the formation of a nonhomogeneous temperature field is studied. It was found that with time, the heat flux flows around the inclusions since the thermal conductivity of the inclusion is less than the thermophysical parameters of the base material. The presence of inclusions reduces the rate of propagation of the heat flow.