|
We consider generalized variational non-local models of media with fields of
defects and show that the methods of continuum mechanics are very effective in modeling
connected reversible and irreversible thermomechanical processes. It is postulated that the
tensor of free distortions is determined only by the spherical tensor, which is interpreted as a
dilatation associated with a change in temperature. A variational model of coupled
thermoelasticity and hyperbolic thermal conductivity is under construction. It describes the
general case of non-locality, when gradient properties are determined by scale parameters that
are responsible for both mechanical and temperature effects. The analysis of boundary value
problems is given, the physical interpretation of all model parameters is given through known
thermomechanical parameters. We also offer a variation model of irreversible thermodynamic
processes, which is based on the principle of L.I. Sedov. In this case, the variation form for
the dissipative part of the change in energy is based on the non-integrability condition
proposed by the authors.
Keywords: non-local models, defective media, free dilatation, variational models, extended thermodynamics, irreversible processes, dissipation model, coupled thermoelasticity and thermal conductivity, physical model, thermo-resistance |
full paper (pdf, 1024 Kb)