The effect of thermal processes on eddy-current losses in the structural elements of cryogenic and superconducting devices are analyzed. Maxwell's equations coupled with the heat-conduction equation are solved, taking into account the dependence of resistivity, heat capacity, and heat-transfer coefficient on temperature. Losses are analyzed as a function of magnetic field, frequency, and geometry for a thin strip in a uniform magnetic field. It is shown that losses calculated taking the thermal processes into account may differ from those obtained at constant temperature. >