The Mechanics and Thermodynamics of Continuous Media

The Mechanics and Thermodynamics of Continuous Media PDF

Author: Miroslav Silhavy

Publisher: Springer Science & Business Media

Published: 2013-11-27

Total Pages: 511

ISBN-13: 3662033895

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From the reviews: "The book is excellent, and covers a very broad area (usually treated as separate topics) from a unified perspective. [...] It will be very useful for both mathematicians and physicists." EMS Newsletter

The Foundations of Mechanics and Thermodynamics

The Foundations of Mechanics and Thermodynamics PDF

Author: W. Noll

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 330

ISBN-13: 3642658172

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German scholars, against odds now not only forgotten but also hard to imagine, were striving to revivify the life of the mind which the mental and physical barbarity preached and practised by the -isms and -acies of 1933-1946 had all but eradicated. Thinking that among the disciples of these elders, restorers rather than progressives, I might find a student or two who would wish to master new mathematics but grasp it and use it with the wholeness of earlier times, in 1952 I wrote to Mr. HAMEL, one of the few then remaining mathematicians from the classical mould, to ask him to name some young men fit to study for the doc torate in The Graduate Institute for Applied Mathematics at Indiana University, flourishing at that time though soon to be destroyed by the jealous ambition of the local, stereotyped pure. Having just retired from the Technische Universitat in Charlottenburg, he passed my inquiry on to Mr. SZABO, in whose institute there NOLL was then an assistant. Although Mr.

Elements of Continuum Mechanics and Conservation Laws

Elements of Continuum Mechanics and Conservation Laws PDF

Author: S.K. Godunov

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 263

ISBN-13: 1475751176

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Elements of Continuum Mechanics and Conservation Laws presents a systematization of different models in mathematical physics, a study of the structure of conservation laws, thermodynamical identities, and connection with criteria for well-posedness of the corresponding mathematical problems. The theory presented in this book stems from research carried out by the authors concerning the formulations of differential equations describing explosive deformations of metals. In such processes, elasticity equations are used in some zones, whereas hydrodynamics equations are stated in other zones. Plastic deformations appear in transition zones, which leads to residual stresses. The suggested model contains some relaxation terms which simulate these plastic deformations. Certain laws of thermodynamics are used in order to describe and study differential equations simulating the physical processes. This leads to the special formulation of differential equations using generalized thermodynamical potentials.

Elements of Continuum Mechanics and Thermodynamics

Elements of Continuum Mechanics and Thermodynamics PDF

Author: Joanne L. Wegner

Publisher: Cambridge University Press

Published: 2009-04-13

Total Pages: 279

ISBN-13: 1139478389

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This text is intended to provide a modern and integrated treatment of the foundations and applications of continuum mechanics. There is a significant increase in interest in continuum mechanics because of its relevance to microscale phenomena. In addition to being tailored for advanced undergraduate students and including numerous examples and exercises, this text also features a chapter on continuum thermodynamics, including entropy production in Newtonian viscous fluid flow and thermoelasticity. Computer solutions and examples are emphasized through the use of the symbolic mathematical computing program Mathematica®.

The Mechanics and Thermodynamics of Continua

The Mechanics and Thermodynamics of Continua PDF

Author: Morton E. Gurtin

Publisher: Cambridge University Press

Published: 2010-04-19

Total Pages: 721

ISBN-13: 1139482157

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The Mechanics and Thermodynamics of Continua presents a unified treatment of continuum mechanics and thermodynamics that emphasises the universal status of the basic balances and the entropy imbalance. These laws are viewed as fundamental building blocks on which to frame theories of material behaviour. As a valuable reference source, this book presents a detailed and complete treatment of continuum mechanics and thermodynamics for graduates and advanced undergraduates in engineering, physics and mathematics. The chapters on plasticity discuss the standard isotropic theories and, in addition, crystal plasticity and gradient plasticity.

Continuum Mechanics and Thermodynamics

Continuum Mechanics and Thermodynamics PDF

Author: Ellad B. Tadmor

Publisher: Cambridge University Press

Published: 2012

Total Pages: 373

ISBN-13: 1107008263

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Treats subjects directly related to nonlinear materials modeling for graduate students and researchers in physics, materials science, chemistry and engineering.