A brief review is given to the research works of Academician A. D. Kovalenko that laid the foundations of the thermomechanics of coupled fields in inelastic materials and structural members under monoharmonic loading. The developments of Kovalenko's ideas by the associates of the Thermoelasticity Department founded by him are pointed out Introduction. All the research activity of Anatolii Dmitrievich Kovalenko was related to the S. P. Timoshenko Institute of Mechanics. First studies on thermomechanics were conducted by him back in the 40s. The department established by Kovalenko in 1946 is still functioning. It was renamed Thermoelasticity Department in 1972. By that time, Kovalenko was a noted scientist in the Soviet Union, an authority in the field of solid mechanics, and the founder and manager of the Ukrainian School of Thermomechanics. Rapid development of technology, specifically space and missile technology, attached primary importance to the thermomechanics of materials and structural members. All-Union symposiums on thermal stresses in structural members directed by Kovalenko played an important role in the coordination and development of thermomechanics research in the Soviet Union. These symposiums were held in a very favorable season-early summer-in Kanev, one of the most beautiful places of Ukraine, where Taras Grigor'evich Shevchenko, a brilliant Ukrainian poet and thinker, was buried. Often, mechanicians, who had arrived from every corner of the country, read their papers right on the bank of Dnepr, in homelike atmosphere strengthening business and friendly relations, which were then maintained for many years. That is why these symposiums were very popular among Soviet scientists, designers, and leading experts in many fields of technology, who felt obliged to attend these symposiums. The most active attendees were Ukrainian scientists, especially those from the Western Ukraine, where (in Lvov) in the 60s young scientists guided by Ya. S. Podstrigach teamed to do research on solid thermomechanics. Kovalenko provided all-round support to this team.Thermomechanics is still of interest for scientists all over the world. International congresses on thermal stresses have been held regularly (once in two years). The area of research on the thermomechanics of materials and structural members has extended substantially. Problems of influence of interacting mechanical, thermal, and electromagnetic fields on the deformation processes have come to the fore. The interaction of mechanical and electromagnetic fields in piezoelectric materials makes it possible to control the mechanical and thermomechanical states of structural members. Where mechanics, physics, chemistry, and biology overlap, new divisions of solid mechanics appeared aiming to describe the behavior of structures as that of living organism and to examine the behavior of so-called smart materials and structures [69][70][71]. Kovalenko always maintained ties with industry and was highly sensitive to the development trends of solid mechanics. In his...