Today, one of the trends in industry development is replacing traditional structural materials with non-metallic heterogeneous structures. This makes it possible to obtain materials with planned properties. At the same time, it is necessary to study the organizational mechanisms of the structure of such materials at each large-scale level. In this case, non-destructive control methods play a significant role. For products from heterogeneous materials, methods of active thermal control are promising. The processes in materials of this class are of interest when they are monitored by the acoustic infrared thermometric method. It can also be noted that the specifics of the method of non-destructive testing application, as well as the physical phenomena that appear in non-metallic heterogeneous materials during the vibration effect on them, have not been fully studied for its practical application. The article is devoted to the mathematical modeling of these processes. However, for a comprehensive analysis of strength characteristics, it is necessary to consider the coupling of thermoelastic fields, i.e., it is necessary to determine the temperature and deformation fields simultaneously.