Theory Of Viscoelasticity
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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 Technology & Engineering 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.
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.
Viscoelasticity Of Polymers
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Author : Kwang Soo Cho
language : en
Publisher: Springer
Release Date : 2016-05-30
Viscoelasticity Of Polymers written by Kwang Soo Cho and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-30 with Technology & Engineering categories.
This book offers a comprehensive introduction to polymer rheology with a focus on the viscoelastic characterization of polymeric materials. It contains various numerical algorithms for the processing of viscoelastic data, from basic principles to advanced examples which are hard to find in the existing literature. The book takes a multidisciplinary approach to the study of the viscoelasticity of polymers, and is self-contained, including the essential mathematics, continuum mechanics, polymer science and statistical mechanics needed to understand the theories of polymer viscoelasticity. It covers recent achievements in polymer rheology, such as theoretical and experimental aspects of large amplitude oscillatory shear (LAOS), and numerical methods for linear viscoelasticity, as well as new insights into the interpretation of experimental data. Although the book is balanced between the theoretical and experimental aspects of polymer rheology, the author’s particular interest in the theoretical side will not remain hidden. Aimed at readers familiar with the mathematics and physics of engineering at an undergraduate level, the multidisciplinary approach employed enables researchers with various scientific backgrounds to expand their knowledge of polymer rheology in a systematic way.
Viscoelasticity Basic Theory And Applications To Concrete Structures
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Author : Guillermo J. Creus
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Viscoelasticity Basic Theory And Applications To Concrete Structures written by Guillermo J. Creus 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 Technology & Engineering categories.
This book contains notes for a one-semester graduate course which is an introduction to the study of viscoelasticity and creep of concrete. Emphasis was set on the conceptual aspects rather than on the mathematical or computational refinements. The mathematical structure of viscoelasticity is discussed with some care because it clarifies the basic concepts and has important consequences in computa tional applications. Basic ideas are exemplified using the simplest problems and constitutive models in order to be able to show complete solutions. In the computational applications we have also chosen to present the sim plest situations with the greatest possible detail. It has been the author's experience that once the basic concepts are well understood the students are able to follow the rest of the course more easily and to accede to more advanced literature and applications. Chapters I to III furnish the foundations for the course, that may be expanded in diverse ways. If we are interested in finite elements applications we should look at Chapter IV and then go direct ly to Chapter VII. If we are interested in the simplified analysis of frame structures we should study Chapter VI in detail. Chapter V re views the viscoelastic behavior of concrete and Chapter VIII studies the problem of creep buckling. At the end of each chapter we give se lected references to works that complete and extend the subject matter.
Viscoelasticity
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Author : Juan De Vicente
language : en
Publisher: BoD – Books on Demand
Release Date : 2012-11-07
Viscoelasticity written by Juan De Vicente and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-07 with Science categories.
This book contains a wealth of useful information on current research on viscoelasticity. By covering a broad variety of rheology, non-Newtonian fluid mechanics and viscoelasticity-related topics, this book is addressed to a wide spectrum of academic and applied researchers and scientists but it could also prove useful to industry specialists. The subject areas include, theory, simulations, biological materials and food products among others.
Foundations Of The Theory Of Elasticity Plasticity And Viscoelasticity
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Author : Eduard Starovoitov
language : en
Publisher: CRC Press
Release Date : 2012-07-18
Foundations Of The Theory Of Elasticity Plasticity And Viscoelasticity written by Eduard Starovoitov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-18 with Science categories.
Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity details fundamental and practical skills and approaches for carrying out research in the field of modern problems in the mechanics of deformed solids, which involves the theories of elasticity, plasticity, and viscoelasticity. The book includes all modern methods of research as well as the results of the authors’ recent work and is presented with sufficient mathematical strictness and proof. The first six chapters are devoted to the foundations of the theory of elasticity. Theory of stress-strain state, physical relations and problem statements, variation principles, contact and 2D problems, and the theory of plates are presented, and the theories are accompanied by examples of solving typical problems. The last six chapters will be useful to postgraduates and scientists engaged in nonlinear mechanics of deformed inhomogeneous bodies. The foundations of the modern theory of plasticity (general, small elastoplastic deformations and the theory of flow), linear, and nonlinear viscoelasticity are set forth. Corresponding research of three-layered circular plates of various materials is included to illustrate methods of problem solving. Analytical solutions and numerical results for elastic, elastoplastic, lineaer viscoelastic and viscoelastoplastic plates are also given. Thermoviscoelastoplastic characteristics of certain materials needed for numerical account are presented in the eleventh chapter. The informative book is intended for scientists, postgraduates and higher-level students of engineering spheres and will provide important practical skills and approaches.
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.
Polymer Engineering Science And Viscoelasticity
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Author : Hal F. Brinson
language : en
Publisher: Springer
Release Date : 2015-01-24
Polymer Engineering Science And Viscoelasticity written by Hal F. Brinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-24 with Science categories.
This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental methods, thermal response, and stress and failure analysis. Example problems are provided within the text as well as at the end of each chapter. New to this edition: · One new chapter on the use of nano-material inclusions for structural polymer applications and applications such as fiber-reinforced polymers and adhesively bonded structures · Brings up-to-date polymer production and sales data and equipment and procedures for evaluating polymer characterization and classification · The work serves as a comprehensive reference for advanced seniors seeking graduate level courses, first and second year graduate students, and practicing engineers
Understanding Viscoelasticity
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Author : Nhan Phan-Thien
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Understanding Viscoelasticity written by Nhan Phan-Thien 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 2013-03-09 with Technology & Engineering categories.
This book presents an introduction to viscoelasticity; in particular, to the the ories of dilute polymer solutions and melts, and dilute suspensions of rigid particles in viscous and incompressible fluids. These theories are important, not just because they apply to practical problems of industrial interest, but because they form a solid theoretical base upon which mathematical tech niques can be built, from which more complex theories can be constructed, to better mimic material behaviour. The emphasis is not on the voluminous cur rent topical research, but on the necessary tools to understand viscoelasticity at a first year graduate level. 1 Viscoelasticity, or Continuum Mechanics, or Rheology (certainly not to be confused with Theology) is the science of deformation and flow. This def 2 3 inition of was due to Bingham, who, together with Scott-Blair and Reiner, helped form The Society of Rheology in 1929. Rheology has a distinguished history involving high-profile scientists. The idea that everything has a time scale, and that if we are prepared to wait long enough then everything will flow was known to the Greek philosopher Heraclitus, and prior to him, to the 4 Prophetess Deborah - The Mountains Flowed Before The Lord. Not surpris ingly, the motto of the Society of Rheology is 1ravra pet (everything flows), a saying attributed to Heraclitus.
Creep And Relaxation Of Nonlinear Viscoelastic Materials
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Author : William N. Findley
language : en
Publisher: Courier Corporation
Release Date : 2013-01-15
Creep And Relaxation Of Nonlinear Viscoelastic Materials written by William N. Findley and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-15 with Technology & Engineering categories.
This pioneering book presents the basic theory, experimental methods, experimental results and solution of boundary value problems in a readable, useful way to designers as well as research workers and students. The mathematical background required has been kept to a minimum and supplemented by explanations where it has been necessary to introduce specialized mathematics. Also, appendices have been included to provide sufficient background in Laplace transforms and in step functions. Chapters 1 and 2 contain an introduction and historic review of creep. As an aid to the reader a background on stress, strain, and stress analysis is provided in Chapters 3 and 4, an introduction to linear viscoelasticity is found in Chapter 5 and linear viscoelastic stress analysis in Chapter 6. In the next six chapters the multiple integral representation of nonlinear creep and relaxation, and simplifications to single integral forms and incompressibility, are examined at length. After a consideration of other representations, general relations are derived, then expanded to components of stress or strain for special cases. Both constant stress (or strain) and variable states are described, together with methods of determining material constants. Conversion from creep to relaxation, effects of temperature and stress analysis problems in nonlinear materials are also treated here. Finally, Chapter 13 discusses experimental methods for creep and stress relaxation under combined stress. This chapter considers especially those experimental problems which must be solved properly when reliable experimental results of high precision are required. Six appendices present the necessary mathematical background, conversion tables, and more rigorous derivations than employed in the text. An extensive updated bibliography completes the book.