Zhuk Y. Thermomechanically coupled problems for physically nonlinear bodies under the harmonic loading in the single-frequency approximation

The work is devoted to the development of the investigation approaches and regularities study of the coupled thermomechanical behavior of physically nonlinear dissipative bodies under harmonic loading. The generalized model of inelastic material is brought to consistency with the thermodynamics of irreversible processes. Simplified model of coupled thermomechanical behavior of physically nonlinear bodies under harmonic loading is elaborated. Statements of the problem on vibration and dissipative heating of the bodies made of inelastic material under harmonic loading are elaborated with the application of both generalized flow model and simplified model. Model of the dynamic coupled thermomechanical processes in layered thin-wall bodies is developed. The main regularities of quasistatic and dynamic coupled behavior under harmonic loading are discovered and studied for axisymmetric and plane bodies (disk, plate), bodies containing stress concentrators and macrodefects; nonuniform bodies as well as thin-wall structure elements.