Evolution Equations In Thermoelasticity
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Evolution Equations In Thermoelasticity
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Author : Reinhard Racke
language : en
Publisher: CRC Press
Release Date : 2000-06-21
Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.
Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions remain open, and the field has lacked a comprehensive survey that explores these past results and presents recent developments. Evolution Equations in Thermoelasticity presents a modern treatment of initial value problems and of initial boundary value problems in both linear and nonlinear thermoelasticity, in one- and multi-dimensional spatial configurations. The authors provide the first self-contained presentation of the subject that offers both introductory parts accessible to graduate students and sophisticated sections valuable to experts.
Evolution Equations In Thermoelasticity
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Author : Reinhard Racke
language : en
Publisher: CRC Press
Release Date : 2000-06-21
Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-21 with Mathematics categories.
Although the study of classical thermoelasticity has provided information on linear systems, only recently have results on the asymptotic behavior completed our basic understanding of the generic behavior of solutions. Through systematic work that began in the 80s, we now also understand the basic features of nonlinear systems. Yet some questions r
Nonlinear Evolution Equations In Thermoelasticity
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Author : Reinhard Racke
language : en
Publisher:
Release Date : 1996
Nonlinear Evolution Equations In Thermoelasticity written by Reinhard Racke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Selected Papers On Analysis And Differential Equations
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Author : 野水克己
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Selected Papers On Analysis And Differential Equations written by 野水克己 and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
This volume contains translations of papers that originally appeared in the Japanese journal, Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers range over a variety of topics, including nonlinear partial differential equations, $C*$-algebras, and Schrodinger operators. The volume is suitable for graduate students and research mathematicians interested in analysis and differential equations.
Internal Variables In Thermoelasticity
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Author : Arkadi Berezovski
language : en
Publisher: Springer
Release Date : 2017-05-05
Internal Variables In Thermoelasticity written by Arkadi Berezovski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-05 with Science categories.
This book describes an effective method for modeling advanced materials like polymers, composite materials and biomaterials, which are, as a rule, inhomogeneous. The thermoelastic theory with internal variables presented here provides a general framework for predicting a material’s reaction to external loading. The basic physical principles provide the primary theoretical information, including the evolution equations of the internal variables. The cornerstones of this framework are the material representation of continuum mechanics, a weak nonlocality, a non-zero extra entropy flux, and a consecutive employment of the dissipation inequality. Examples of thermoelastic phenomena are provided, accompanied by detailed procedures demonstrating how to simulate them.
Thermoelasticity With Finite Wave Speeds
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Author : Józef Ignaczak
language : en
Publisher: Oxford University Press
Release Date : 2010
Thermoelasticity With Finite Wave Speeds written by Józef Ignaczak and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
A unique monograph in a fast developing field of generalized thermoelasticity, an area of active research in continuum mechanics, focusing on thermoelasticity governed by hyperbolic equations, rather than on a wide range of continuum theories.
Frontiers And Prospects Of Contemporary Applied Mathematics
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Author : Pingwen Zhang
language : en
Publisher: World Scientific
Release Date : 2006-04-17
Frontiers And Prospects Of Contemporary Applied Mathematics written by Pingwen Zhang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-17 with Mathematics categories.
This collection of articles covers the hottest topics in contemporary applied mathematics. Multiscale modeling, material computing, symplectic methods, parallel computing, mathematical biology, applied differential equations and engineering computing problems are all included. The book contains the latest results of many leading scientists and provides a window on new trends in research in the field.
New Achievements In Continuum Mechanics And Thermodynamics
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Author : Bilen Emek Abali
language : en
Publisher: Springer
Release Date : 2019-03-13
New Achievements In Continuum Mechanics And Thermodynamics written by Bilen Emek Abali and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-13 with Science categories.
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.
Nonlinear Parabolic Hyperbolic Coupled Systems And Their Attractors
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Author : Yuming Qin
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-11-25
Nonlinear Parabolic Hyperbolic Coupled Systems And Their Attractors written by Yuming Qin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-11-25 with Mathematics categories.
This book presents recent results concerning the global existence in time, the large-time behavior, decays of solutions and the existence of global attractors for nonlinear parabolic-hyperbolic coupled systems of evolutionary partial differential equations.
Thermoelastic Deformations
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Author : D. Iesan
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Thermoelastic Deformations written by D. Iesan and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Science categories.
The theory of thermoelasticity studies the interaction between thermal and mechan ical fields in elastic bodies. This theory is of interest both for the mathematical and technical point of view. Intense interest has been shown recently in this field owing to the great practical importance of dynamical effects in aeronautics, nu clear reactors, and its potential importance in cryogenic applications. This work is concerned mainly with basic problems of the theory of thermoelasticity. Ther moelasticity of polar materials and the theories of thermoelasticity with finite wave speeds are not considered here. The reader interested in these subjects will find a full account in the works of Nowacki [280], Chandrasekharaiah [60] and Ignaczak [195]. Our purpose in this work is to present a systematic treatment of some results established in the theory of thermoelasticity. On the whole, the subject matter is directed towards recent developments. Chapter 1 is concerned mainly with the development of the fundamental equa tions of the theory of thermoelasticity. The kinematics and primitive concepts associated with the basic principles are developed and emphasized only to the ex tent that they are needed in our treatment of the subject. Chapter 2 is devoted to a study of linear thermoelastic deformations for prestressed bodies. We have at tempted to isolate those conceptual and mathematical difficulties which arise over and above those inherent in the problems concerned with unstressed bodies.