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THE THERMOMECHANICS OF NONLINEAR IRREVERSIBLE BEHAVIORS
An Introduction
by Gérard A Maugin (CNRS & Université Pierre & Marie Curie, Paris)
Table of Contents (84k)
Foreword (112k)
Chapter 1: Introduction: A Post-Duhemian Thermodynamics (283k)
G A Maugin is (although he greatly dislikes labels) a specialist in continuum physics and wave propagation. His scientific interests span nonlinear effects in mechanics, physics, and biology, particularly, solitons, fracture, coupled electro-magneto-mechancial effects, media with microstructure, and smart materials. He was educated in Paris and Princeton and holds graduate degrees in Theoretical Mechanics, Mathematical Physics and Mathematics. Director of Research at the Centre National de la Recherche Scientifique (Physical Sciences for Engineering), he teaches graduate courses at Paris University and is much involved in European Research Programs. He has lectured on all continents, published more than 200 refereed papers, and is the author or co-author of seven monographs and textbooks, including Continuum Mechanics of Electromagnetic Solids (Elsevier, 1988; in Russian, Mir, 1991), The Thermomechanics of Plasticity and Fracture (Cambridge, 1992), and Material Inhomogeneities in Elasticity (Chapman and Hall, 1993). He has edited eight volumes of proceedings of international conferences, e.g. Continuum Models and Discrete Systems (Longman, 1990). Although basically trained as an aeronautical engineer, he devotes his free time to railroads (real ones as well as mechanical toys) when he is not reading about the history and philosophy of science with a marked interest in P Duhem, J C Maxwell, and other pioneers.
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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