Lectures On Viscoelasticity Theory
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Lectures On Viscoelasticity Theory
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Author : Allen C. Pipkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Lectures On Viscoelasticity Theory written by Allen C. Pipkin 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 2012-12-06 with Mathematics categories.
This book contains notes for a one-semester course on viscoelasticity given in the Division of Applied Mathematics at Brown University. The course serves as an introduction to viscoelasticity and as a workout in the use of various standard mathematical methods. The reader will soon find that he needs to do some work on the side to fill in details that are omitted from the text. These are notes, not a completely de tailed explanation. Furthermore, much of the content of the course is in the prob lems assigned for solution by the student. The reader who does not at least try to solve a good many of the problems is likely to miss most of the point. Much that is known about viscoelasticity is not discussed in these notes, and references to original sources are usually not given, so it will be difficult or impossible to use this book as a reference for looking things up. Readers wanting something more like a treatise should see Ferry's Viscoelastic Properties of Polymers, Lodge's Elastic Liquids, the volumes edited by Eirich on Rheology, or any issue of the Transactions of the Society of Rheology. These works emphasize physical aspects of the subject. On the mathematical side, Gurtin and Sternberg's long paper On the Linear Theory of Viscoelasticity (ARMA~, 291(1962)) remains the best reference for proofs of theorems.
Lectures On Viscoelasticity Theory
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Author : A.C. Pipkin
language : en
Publisher: Springer
Release Date : 2011-09-27
Lectures On Viscoelasticity Theory written by A.C. Pipkin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-27 with Science categories.
This book contains notes for a one-semester course on viscoelasticity given in the Division of Applied Mathematics at Brown University. The course serves as an introduction to viscoelasticity and as a workout in the use of various standard mathematical methods. The reader will soon find that he needs to do some work on the side to fill in details that are omitted from the text. These are notes, not a completely detailed explanation. Furthermore, much of the content of the course is in the problems assigned for solution by the student. The reader who does not at least try to solve a good many of the problems is likely to miss most of the point. Much that is known about viscoelasticity is not discussed in these notes, and references to original sources are usually not give, so it will be difficult or impossible to use this book as a reference for looking things up. Readers wanting something more like a treatise should see Ferry's Viscoelastic Properties of Polymers, Lodge's Elastic Liquids, the volumes edited by Eirich on Rheology, or any issue of the Transactions of the Society of Rheology. These works emphasize physical aspects of the subject. On the mathematical side, Gurtin and Sternberg's long paper On the Linear Theory of Viscoelasticity (ARMA II, 291 (I962» remains the best reference for proofs of theorems.
Theory Of Viscoelasticity
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Author : R. M. Christensen
language : en
Publisher: Courier Corporation
Release Date : 2013-04-26
Theory Of Viscoelasticity written by R. M. Christensen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-26 with Technology & Engineering categories.
Integration of theoretical developments offers complete description of linear theory of viscoelastic behavior of materials, with theoretical formulations derived from continuum mechanics viewpoint and discussions of problem solving. 1982 edition.
The Phenomenological Theory Of Linear Viscoelastic Behavior
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Author : Nicholas W. Tschoegl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Phenomenological Theory Of Linear Viscoelastic Behavior written by Nicholas W. Tschoegl 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 2012-12-06 with Science categories.
One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity. J. Willard Gibbs This book is an outgrowth of lectures I have given, on and off over some sixteen years, in graduate courses at the California Institute of Technology, and, in abbreviated form, elsewhere. It is, nevertheless, not meant to be a textbook. I have aimed at a full exposition of the phenomenological theory of linear viscoelastic behavior for the use of the practicing scientist or engineer as well as the academic teacher or student. The book is thus primarily a reference work. In accord with the motto above, I have chosen to describe the theory of linear viscoelastic behavior through the use of the Laplace transformation. The treatment oflinear time-dependent systems in terms of the Laplace transforms of the relations between the excitation add response variables has by now become commonplace in other fields. With some notable exceptions, it has not been widely used in viscoelasticity. I hope that the reader will find this approach useful.
The Theory Of Linear Viscoelasticity
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Author : D. R. Bland
language : en
Publisher: Courier Dover Publications
Release Date : 2016-10-05
The Theory Of Linear Viscoelasticity written by D. R. Bland and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-05 with Technology & Engineering categories.
This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed sections present examples of stress-related problems, including sinusoidal oscillation problems, quasi-static problems, and dynamic problems. 1960 edition.
Theory Of Viscoelasticity
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Author : R Christensen
language : en
Publisher: Elsevier
Release Date : 2012-12-02
Theory Of Viscoelasticity written by R Christensen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.
Theory of Viscoelasticity: An Introduction, Second Edition discusses the integral form of stress strain constitutive relations. The book presents the formulation of the boundary value problem and demonstrates the separation of variables condition. The text describes the mathematical framework to predict material behavior. It discusses the problems to which integral transform methods do not apply. Another topic of interest is the thermoviscoelastic stress analysis. The section that follows describes the heat conduction, glass transition criterion, viscoelastic Rayleigh waves, optimal strain history path, and nonlinear behavior of elastomers. The book will provide valuable insights for chemists, engineers, students, and researchers in the field of chemistry.
Viscoelasticity Theory And Applied Principles
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Author : Todd Feola
language : en
Publisher:
Release Date : 2015-01-19
Viscoelasticity Theory And Applied Principles written by Todd Feola and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-19 with Viscoelasticity categories.
This book contains research conducted by various experts in the field of viscoelasticity. Viscoelasticity is basically defined as the property of a substance of exhibiting both elastic as well as viscous behavior. It discusses rheology, non-Newtonian fluid mechanics and viscoelasticity related topics, and hence will fulfill the requirements of academicians, researchers and scientists. The book elucidates various topics associated with viscoelasticity such as theory, simulations, biological materials, food products, among others.
The Theory Of Linear Viscoelasticity
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Author : David Russell Bland
language : en
Publisher:
Release Date : 1960
The Theory Of Linear Viscoelasticity written by David Russell Bland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Elasticity categories.
Theory Of Viscoelasticity
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Author : Richard M. Christensen
language : en
Publisher:
Release Date : 1982
Theory Of Viscoelasticity written by Richard M. Christensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Technology & Engineering categories.
Fluid Dynamics Of Viscoelastic Liquids
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Author : Daniel D. Joseph
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Fluid Dynamics Of Viscoelastic Liquids written by Daniel D. Joseph 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 2013-11-27 with Science categories.
This book is about two special topics in rheological fluid mechanics: the elasticity of liquids and asymptotic theories of constitutive models. The major emphasis of the book is on the mathematical and physical consequences of the elasticity of liquids; seventeen of twenty chapters are devoted to this. Constitutive models which are instantaneously elastic can lead to some hyperbolicity in the dynamics of flow, waves of vorticity into rest (known as shear waves), to shock waves of vorticity or velocity, to steady flows of transonic type or to short wave instabilities which lead to ill-posed problems. Other kinds of models, with small Newtonian viscosities, give rise to perturbed instantaneous elasticity, associated with smoothing of discontinuities as in gas dynamics. There is no doubt that liquids will respond like elastic solids to impulses which are very rapid compared to the time it takes for the molecular order associated with short range forces in the liquid, to relax. After this, all liquids look viscous with signals propagating by diffusion rather than by waves. For small molecules this time of relaxation is estimated as lQ-13 to 10-10 seconds depending on the fluids. Waves associated with such liquids move with speeds of 1 QS cm/s, or even faster. For engineering applications the instantaneous elasticity of these fluids is of little interest; the practical dynamics is governed by diffusion, ·say, by the Navier-Stokes equations. On the other hand, there are other liquids which are known to have much longer times of relaxation.