Maximum Dissipation Non-Equilibrium Thermodynamics and its Geometric Structure

by Henry W. Haslach Jr.

Overview

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 tissue Maximum 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.

Product Details

ISBN-13:	9781489981745
Publisher:	Springer New York
Publication date:	09/19/2014
Edition description:	2011
Pages:	297
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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.

Editorial Reviews

From the reviews:

“The author presents his construction of a geometric model for non-equilibrium thermodynamics and his maximum dissipation criterion which is assumed to complement the second law of thermodynamics. … the author explores different concrete situations where his construction of a maximum dissipation criterion may be applied. … This book will be interesting for researchers involved either in applied mathematics or in mechanics.” (Alain Brillard, Zentralblatt MATH, Vol. 1222, 2011)

From the Publisher