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Aspects of Non-equilibrium Thermodynamics
In six lectures aspects of modern non-equilibrium thermodynamics of discrete systems as well as continuum theoretical concepts are represented. Starting out with survey and introduction, state spaces are defined, the existence of internal energy is investigated, and Clausius inequality including negative absolute temperature is derived by diagram technique. Non-equilibrium contact quantities, such as contact temperature ? the dynamic analogue of thermostatic temperature ? and chemical potentials are phenomenologically defined and quantumstatistically founded. Using Clausius inequality the existence of non-negative entropy production is proved which allows to formulate a dissipation inequality in continuum thermodynamics. The transition between thermodynamics of discrete systems and continuum thermodynamics with respect to contact quantities is considered. Different possibilities of exploiting the dissipation inequality for getting constraints for constitutive equations are discussed. Finally hyperbolic heat conduction in non-extended thermodynamics is treated.
Statistical Physics And Thermodynamics Of Nonlinear Nonequilibrium Systems
In these proceedings, it is shown that thermodynamical concepts are not ‘old fashioned’ but still are most useful at the frontiers of modern science. Among the contributors are well-known experts such as Andresen (Copenhagen), Eu (Montreal), Groβmann (Marburg), Kawasaki (Fuhuoha), Maugin (Paris), Nicolis (Bruxelles) and Szépfalusy (Budapest). The subject covers a wide field including: recent developments in phenomenological thermodynamics, statistical foundation of thermodynamical concepts, thermodynamical concepts in nonlinear dynamics, applications to nonlinear (neural) networks, stochastic theory and transition processes.
New Achievements in Continuum Mechanics and Thermodynamics
This book presents a liber amicorum dedicated to Wolfgang H. Müller, and highlights recent advances in Prof. Müller’s major fields of research: continuum mechanics, generalized mechanics, thermodynamics, mechanochemistry, and geomechanics. Over 50 of Prof. Müller’s friends and colleagues contributed to this book, which commemorates his 60th birthday and was published in recognition of his outstanding contributions.
Mechanics of Generalized Continua
In their 1909 publication Théorie des corps déformables, Eugène and François Cosserat made a historic contribution to materials science by establishing the fundamental principles of the mechanics of generalized continua. The chapters collected in this volume showcase the many areas of continuum mechanics that grew out of the foundational work of the Cosserat brothers. The included contributions provide a detailed survey of the most recent theoretical developments in the field of generalized continuum mechanics and can serve as a useful reference for graduate students and researchers in mechanical engineering, materials science, applied physics and applied mathematics.
Constitutive Laws and Microstructure
A special survey of the extensive field of Constitutive Laws is given in 11 lectures, divided into three parts: Thermodynamics of Materials, Stochastic Processes and Material Behaviour, Constitutive Relations for Simple Fluids and Microphysics of Solids. The collection of lectures comprehends a novel survey of thermodynamical constitutive theories, and contributions to material theories with after-effects including experiments, stochastic constitutive laws, molecular dynamics for simulating material properties, electrodynamical constitutive properties, and thermodynamic and microphysical modelling of polymers. The selected lectures emphasize the microstructural aspect of constitutive laws, and this collection presents a new facet of constitutive laws.
Recent Developments in Micromechanics
This volume contains the lectures presented at the mini-symposium on "Micromechanics" held in conjunction with the CSME Mechanical Engineer ing Forum 1990 between the 3rd and 8th June, 1990 at the University of Toronto, Canada. The expressed purpose of this symposium was to discuss some recent developments in the Micromechanics of Materials and how ad vances in this field now relate to the solution of practical engineer ing problems. Due to the time limit set for this section of the Engineer ing Forum as well as the restriction on the number of papers to be pre sented, it was not possible to cover a much wider range of topics. How ever, an attempt was made to include the most important advan...
The Thermomechanics Of Nonlinear Irreversible Behaviours
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.
Trends In Continuum Physics, Trecop'98 - Proceedings Of The International Sym
A system is loosely defined as complex if it is composed of a large number of elements, interacting with each other, and the emergent global dynamics is qualitatively different from the dynamics of each one of the parts. The global dynamics may be either ordered or chaotic and among the most interesting emergent global properties are those of learning and adaptation.Complex systems, in the above sense, appear in many fields ranging from physics and technology to life and social sciences. Research in complex systems involves therefore a wide range of topics, studied in seemingly disparate fields. This calls for some effort to develop general principles and a common language so that tools deve...
Configurational Forces
Exploring recent developments in continuum mechanics, Configurational Forces: Thermomechanics, Physics, Mathematics, and Numerics presents the general framework for configurational forces. It also covers a range of applications in engineering and condensed matter physics. The author presents the fundamentals of accepted standard continuum mechanics, before introducing Eshelby material stress, field theory, variational formulations, Noether’s theorem, and the resulting conservation laws. In the chapter on complex continua, he compares the classical perspective of B.D. Coleman and W. Noll with the viewpoint linked to abstract field theory. He then describes the important notion of local stru...
Dynamic Response of Granular and Porous Materials under Large and Catastrophic Deformations
A "Sonderforschungsbereich" (SFB) is a programme of the "Deutsche For schungsgemeinschaft" to financially support a concentrated research effort of a number of scientists located principally at one University, Research La boratory or a number of these situated in close proximity to one another so that active interaction among individual scientists is easily possible. Such SFB are devoted to a topic, in our case "Deformation and Failure in Metallic and Granular M aterialK' , and financing is based on a peer reviewed proposal for three (now four) years with the intention of several prolongations after evaluation of intermediate progress and continuation reports. An SFB is terminated in general...
