The Thermomechanics of Nonlinear Irreversible Behaviors: An Introduction
In this invaluable book, macroscopic irreversible thermodynamics is presented in its realm and its splendor by appealing to the notion of internal variables of state. This applies to both fluids and solids with or without microstructures of mechanical or electromagnetic origin. This unmatched richness of essentially nonlinear behaviors is the result of the use of modern mathematical techniques such as convex analysis in a clear-cut framework which allows one to put under the umbrella of “irreversible thermodynamics” behaviors which until now have been commonly considered either not easily covered, or even impossible to incorporate into such a framework.The book is intended for all students and researchers whose main concern is the rational modeling of complex and/or new materials with physical and engineering applications, such as those accounting for coupled-field, hysteresis, fracture, nonlinear-diffusion, and phase-transformation phenomena.
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applied assumed behavior body Chapter classical Clausius-Duhem inequality coefficient configuration consider constitutive equations continuum continuum mechanics contribution convex convex set couplings crack defined deformation density depend derivative dielectric relaxation diffusion dissipation inequality dissipation potential domain walls Drouot Duhem dynamical effects elastic elastoplasticity electric polarization electromagnetic entropy entropy flux equilibrium Eringen essentially evolution equation expression ferroelectric ferromagnets fluid formulation fracture framework free energy function global gradient heat conduction heat equation homogeneous of degree hysteresis internal variables intr introduced irreversible isotropic Kestin law of thermodynamics Legendre transformation linear liquid crystals macroscopic magnetic mathematical Maugin mechanical motion nonlinear parameter phase transitions physical plastic problem relaxation result rheological scalar scale second law small strains so-called solids solution stress tensor temperature theory thermal thermodynamic equilibrium thermoelastic thermomechanics thermostatics transformation unit volume vector velocity viscoplasticity viscosity zero