Titlebook: Internal Variables in Thermoelasticity; Arkadi Berezovski,Peter Ván Book 2017 Springer International Publishing AG 2017 Thermodynamics of

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Instead of Introduction,Wave dispersion is a characteristic feature of solids with microstructure. The development of models of linear wave dispersion effects in isotropic solids is used as an example of the construction of more and more sophisticated dispersive wave equations. The considered models are distinct in foundations and derivations.

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Internal Variables and MicroinertiaIt is shown that inertial terms appear naturally in the thermodynamic theory with dual internal variables and the conditions of their appearance is well understandable in terms of mechanical notions. This demonstrates the difference between the standard single internal variable theory and the dual internal variables concept.

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Thermomechanical Single Internal Variable Theorybsent in this theory by definition, which leads to parabolic evolution equations for the internal variables of state. Due to the simplicity, the single internal variable theory is the necessary first step in the construction of more sophisticated material models.

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Influence of Microstructure on Thermoelastic Wave Propagationture. The reason why the microtemperature is governed by a hyperbolic equation is based on the inclusion of time rates of internal variables into the modified heat flux. Although the observed effect of the microstructure is small, it exists in the case of realistic values of material parameters.

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Book 2017homogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables..