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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.
Book Synopsis Thermoelasticity with Finite Wave Speeds by : Józef Ignaczak
Download or read book Thermoelasticity with Finite Wave Speeds written by Józef Ignaczak and published by Oxford University Press. This book was released on 2010 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Thermoelastic Deformations by : Dorin Iesan
Download or read book Thermoelastic Deformations written by Dorin Iesan and published by Springer. This book was released on 2014-03-14 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
"Classical thermoelasticity theory is based on Fourier's Law of heat conduction, which, when combined with the other fundamental field equations, leads to coupled hyperbolic-parabolic governing equations. These equations imply that thermal effects are to be felt instantaneously, far away from the external thermomechanieal load. Therefore, this theory admits infinite speeds of propagation of thermoelastic disturbances. This paradox becomes especially evident in problems involving very short time intervals, or high rates. of heat flux. Since infinite wave speeds are physically unrealistic in some situations, and since experiments have shown the existence of wavetype thermoelastic interactions, like in the observation of thermal pulses in dielectric crystals, "generalized" thermoelasticity theories have been developed. This thesis concentrates on one generalized thermoelasticity theory, proposed by Green and Lindsay, in which a generalized thermoelastic coupling constant, e, and two relaxation times, t0 and t, account for finite speed thermoelastic waves . A numerical analysis of an exact analytical solution, involving an instantaneous plane source of heat in an infinite body, is performed. The analysis reveals two finite speed wave fronts for each of the four fields: displacement, stress, temperature, and heat flux. The results are complimentary to previous analysis, and improve upon them, because a large range of parameters is involved, and the exact solution to the problem has been used."--Abstract.
Book Synopsis Numerical Analysis of One-dimensional Waves in Generalized Thermoelasticity by : Mark J. Gorman
Download or read book Numerical Analysis of One-dimensional Waves in Generalized Thermoelasticity written by Mark J. Gorman and published by . This book was released on 1993 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Classical thermoelasticity theory is based on Fourier's Law of heat conduction, which, when combined with the other fundamental field equations, leads to coupled hyperbolic-parabolic governing equations. These equations imply that thermal effects are to be felt instantaneously, far away from the external thermomechanieal load. Therefore, this theory admits infinite speeds of propagation of thermoelastic disturbances. This paradox becomes especially evident in problems involving very short time intervals, or high rates. of heat flux. Since infinite wave speeds are physically unrealistic in some situations, and since experiments have shown the existence of wavetype thermoelastic interactions, like in the observation of thermal pulses in dielectric crystals, "generalized" thermoelasticity theories have been developed. This thesis concentrates on one generalized thermoelasticity theory, proposed by Green and Lindsay, in which a generalized thermoelastic coupling constant, e, and two relaxation times, t0 and t, account for finite speed thermoelastic waves . A numerical analysis of an exact analytical solution, involving an instantaneous plane source of heat in an infinite body, is performed. The analysis reveals two finite speed wave fronts for each of the four fields: displacement, stress, temperature, and heat flux. The results are complimentary to previous analysis, and improve upon them, because a large range of parameters is involved, and the exact solution to the problem has been used."--Abstract.
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1975 with total page 952 pages. Available in PDF, EPUB and Kindle. Book excerpt:
This book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional differential operators deal with the long-range interaction. Fractional calculus, generalized Fourier law, axisymmetric and central symmetric problems and many relevant equations are featured in the book. The latest developments in the field are included and the reader is brought up to date with current research. The book contains a large number of figures, to show the characteristic features of temperature and stress distributions and to represent the whole spectrum of order of fractional operators. This work presents a picture of the state-of-the-art of fractional thermoelasticity and is suitable for specialists in applied mathematics, physics, geophysics, elasticity, thermoelasticity and engineering sciences. Corresponding sections of the book may also be used as additional reading material for courses on heat and mass transfer, continuum mechanics, thermal stresses as well as in fractional calculus and its applications for graduate and postgraduate students. Extensive references are included in order to stimulate further studies.
Book Synopsis Fractional Thermoelasticity by : Yuriy Povstenko
Download or read book Fractional Thermoelasticity written by Yuriy Povstenko and published by Springer. This book was released on 2015-02-26 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to fractional thermoelasticity, i.e. thermoelasticity based on the heat conduction equation with differential operators of fractional order. Readers will discover how time-fractional differential operators describe memory effects and space-fractional differential operators deal with the long-range interaction. Fractional calculus, generalized Fourier law, axisymmetric and central symmetric problems and many relevant equations are featured in the book. The latest developments in the field are included and the reader is brought up to date with current research. The book contains a large number of figures, to show the characteristic features of temperature and stress distributions and to represent the whole spectrum of order of fractional operators. This work presents a picture of the state-of-the-art of fractional thermoelasticity and is suitable for specialists in applied mathematics, physics, geophysics, elasticity, thermoelasticity and engineering sciences. Corresponding sections of the book may also be used as additional reading material for courses on heat and mass transfer, continuum mechanics, thermal stresses as well as in fractional calculus and its applications for graduate and postgraduate students. Extensive references are included in order to stimulate further studies.
This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
Book Synopsis Thermoelastic Models of Continua by : D. Iesan
Download or read book Thermoelastic Models of Continua written by D. Iesan and published by Springer Science & Business Media. This book was released on 2013-03-19 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the basic problems of the theory of thermoelasticity for three models of continuous bodies: materials with voids, micropolar solids and nonsimple bodies. Beginning with the basic laws of thermodynamics, the theory of thermoelastic materials with voids is treated. Two subsequent chapters cover the analysis of the linear theory of micropolar thermoelastic bodies. The book concludes with a study of nonsimple thermoelastic materials, which are characterised by the inclusion of higher gradients of displacement in the basic postulates. Relevant examples and exercises which illustrate the theory are given throughout the text. The book should be of interest to mathematicians and specialists working in the fields of elasticity, thermoelasticity, civil engineering and geophysics.
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.
Book Synopsis Internal Variables in Thermoelasticity by : Arkadi Berezovski
Download or read book Internal Variables in Thermoelasticity written by Arkadi Berezovski and published by Springer. This book was released on 2017-05-05 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
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.
Book Synopsis Thermoelastic Deformations by : D. Iesan
Download or read book Thermoelastic Deformations written by D. Iesan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
This volume of Thermal Stresses in ~~terials and Structures in Severe Thermal Environments constitutes the proceedings of an international conference held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia, USA, on ~1arch 19, 20 and 21, 1980. The purpose of the conference was to bring together experts in the areas of heat transfer, theoretical and applied mechanics amd materials science and engineering, with a.common interest in the highly interdisciplinary nature of the thermal stress problem. It is the hope of the program chairmen that the resulting interac tion has led to a greater understanding of the underlying prin ciples of the thermal stress problem and to an improved design and selection of materials for structures subjected to high thermal stresses. The program chairmen gratefully acknowledge the financial assistance for the conference provided by the Department of Energy, the National Science Foundation, the Army Research Office and the Office of Naval Research as well as the Departments of Engineering Science and Mechanics and Materials Engineering at Virginia Poly technic Institute and State University. A number of professional societies also provided mailing lists for the program at no nominal cost The Associate Director, Mr. R. J. Harshberger and his staff at the Conference Center for Continuing Education at VPI and SU should be recognized especially for their coordination of the con ference activities, lunches and banquet. Provost John D. Wilson gave a most enlightening and provocative after-dinner speech.
Book Synopsis Thermal Stresses in Severe Environments by : D. P. Hasselman
Download or read book Thermal Stresses in Severe Environments written by D. P. Hasselman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 727 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of Thermal Stresses in ~~terials and Structures in Severe Thermal Environments constitutes the proceedings of an international conference held at Virginia Polytechnic Institute and State University in Blacksburg, Virginia, USA, on ~1arch 19, 20 and 21, 1980. The purpose of the conference was to bring together experts in the areas of heat transfer, theoretical and applied mechanics amd materials science and engineering, with a.common interest in the highly interdisciplinary nature of the thermal stress problem. It is the hope of the program chairmen that the resulting interac tion has led to a greater understanding of the underlying prin ciples of the thermal stress problem and to an improved design and selection of materials for structures subjected to high thermal stresses. The program chairmen gratefully acknowledge the financial assistance for the conference provided by the Department of Energy, the National Science Foundation, the Army Research Office and the Office of Naval Research as well as the Departments of Engineering Science and Mechanics and Materials Engineering at Virginia Poly technic Institute and State University. A number of professional societies also provided mailing lists for the program at no nominal cost The Associate Director, Mr. R. J. Harshberger and his staff at the Conference Center for Continuing Education at VPI and SU should be recognized especially for their coordination of the con ference activities, lunches and banquet. Provost John D. Wilson gave a most enlightening and provocative after-dinner speech.
This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.
Book Synopsis Waves And Stability In Continuous Media - Proceedings Of The Vii Conference by : Salvatore Rionero
Download or read book Waves And Stability In Continuous Media - Proceedings Of The Vii Conference written by Salvatore Rionero and published by World Scientific. This book was released on 1994-10-24 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents an up-to-date overview of some of the most important topics in waves and stability in continuous media. The topics are: Discontinuity and Shock Waves; Linear and Non-Linear Stability in Fluid Dynamics; Kinetic Theories and Comparison with Continuum Models; Propagation and Non-Equilibrium Thermodynamics; and Numerical Applications.
