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

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0925-0042 necessary skills for creating new models using internal vari.This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a ge

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Thermomechanical Single Internal Variable Theoryory is based on the consideration of the internal variable of state as a tool for taking into account the internal dissipation. Inertial effects are absent in this theory by definition, which leads to parabolic evolution equations for the internal variables of state. Due to the simplicity, the singl

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Dual Internal Variableshe material manifold. This extension of the single internal variable formalism allows one to derive a hyperbolic evolution equation for internal variables in the non-dissipative case. Since the dissipation inequality is the basis of the derivation, it ensures the thermodynamic consistency of the obt

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Influence of Nonlinearityative case, the nonlinear terms can be balanced with dispersion providing the well-known models of solitonic behavior. The interplay between micro-and macro- nonlinearities allows to achieve more sophisticated models of nonlinear dispersive wave propagation than those in the homogeneous solids.

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The Role of Heterogeneity in Heat Pulse Propagation in a Solid with Inner Structureon the results. This influence is significant and unavoidable. Numerical simulations confirm that prediction of temperature behavior at the rear surface of the sample by the Fourier law are systematically deviated from the observed temperature.

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