Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure [Hardcover]

Maximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure explores the thermodynamics of non-equilibrium processes in materials. The book develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context for non-equilibrium thermodynamics. Solid materials are the main focus in this volume, but the construction is shown to also apply to fluids. This volume also: Explains the theory behind thermodynamically-consistent construction of non-linear evolution equations for non-equilibrium processes Provides a geometric setting for non-equilibrium thermodynamics through several standard models, which are defined as maximum dissipation processes Emphasizes applications to the time-dependent modeling of soft biological tissueMaximum Dissipation: Non-Equilibrium Thermodynamics and its Geometric Structure will be valuable for researchers, engineers and graduate students in non-equilibrium thermodynamics and the mathematical modeling of material behavior.

This book explores the thermodynamics of non-equilibrium processes in materials. It develops a general technique created in order to construct nonlinear evolution equations describing non-equilibrium processes, while also developing a geometric context.

History of Non-Equilibrium Thermodynamics.- Energy Methods.- Evolution Construction for Homogeneous Thermodynamic Systems.- Viscoelasticity.- Viscoplasticity.- The Thermodynamic Relaxation Modulus as a Multi-scale Bridge from the Atomic Level to the Bulk Material.- Contact Geometric Structure for Non-equilibrium Thermodynamics. Bifurcations in the Generalized Energy Function.- Evolution Construction for Non-homogeneous Thermodynamic Systems.- Electromagnetism and Joule Heating.- Fracture.

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