On temperature in thermoelastoplasticity (Q2478125)

The authors claim that the determination of the temperature in a continuuu body must be treated in the framwork of thermoplasticity or thermoviscoplasticity. But, there are still many difficulties, especially concerning the basic constitutive equations and the writing of the thermodynamic equations. The authors mention that it is possible to use a definition of the homogenized temperature of an aggregate (for instance, polycrystals or composites). Also, they give an interpretation of the occurrence of adiabatic bands by considering only the influence of temperature. By using a physical microscopic model, the authors explain why some energy could be stored in the aggregate, and show that only in the case of elastic and thermal isotropy it is possible to define the temperature by means of the local temperatures of the components. With the help of a simple rod subjected to a quasi-static loading at a constant strain rate and then dynamically loaded, i.e. during the impact of the rod on a rigid wall, the authors show that there is a nonconstant ratio of the plastic power to the stored power. Also, there is no occurrence of adiabatic bands, while taking into account the influence of the temperature in the equations.