Nonlinear Viscoelastic Solids
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Nonlinear Viscoelastic Solids
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Author : F. J. Lockett
language : en
Publisher:
Release Date : 1972
Nonlinear Viscoelastic Solids written by F. J. Lockett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Plastics categories.
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.
Creep And Relaxation Of Nonlinear Viscoelastic Materials
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Author : William Nichols Findley
language : en
Publisher:
Release Date : 1976
Creep And Relaxation Of Nonlinear Viscoelastic Materials written by William Nichols Findley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Materials categories.
Pioneering book presents basic theory, experimental methods and results, solution of boundary value problems. Topics include creep, stress and strain, deformation analyses, multiple integral representation of nonlinear creep and relaxation, much more. Appendices. Bibliography.
Viscoelastic Solids 1998
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Author : Roderic S. Lakes
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Viscoelastic Solids 1998 written by Roderic S. Lakes and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Technology & Engineering categories.
Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book: presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticity synthesizes the structure of the theory with the aim of developing physical insight illustrates the methods for the solution of stress analysis problems in viscoelastic objects explores experimental methods for the characterization of viscoelastic materials describes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materials analyzes high damping and extremely low damping provides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical properties contains examples on the use of viscoelastic materials in preventing and alleviating human suffering Viscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music.
Mechanical Characterization Of Nonlinear Viscoelastic Solids For Iterative Solution Of Boundary Value Problems
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Author : Richard G. Dong
language : en
Publisher:
Release Date : 1968
Mechanical Characterization Of Nonlinear Viscoelastic Solids For Iterative Solution Of Boundary Value Problems written by Richard G. Dong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Boundary value problems categories.
A boundary value problem of quasi-static deformation of physically nonlinear viscoelastic solids is discussed in the context of providing a scheme for characterization of material response in a manner compatible with an algorithm for numerical solution of boundary value problems. An illustrative example involving axial deformation of a statistically indeterminate nonlinear viscoelastic rod is included. (Author).
Finite Elasticity And Viscoelasticity
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Author : Aleksey D. Drozdov
language : en
Publisher: World Scientific
Release Date : 1996-01-01
Finite Elasticity And Viscoelasticity written by Aleksey D. Drozdov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Science categories.
This book provides a systematic and self-consistent introduction to the nonlinear continuum mechanics of solids, from the main axioms to comprehensive aspects of the theory. The objective is to expose the most intriguing aspects of elasticity and viscoelasticity with finite strains in such a way as to ensure mathematical correctness, on the one hand, and to demonstrate a wide spectrum of physical phenomena typical only of nonlinear mechanics, on the other.A novel aspect of the book is that it contains a number of examples illustrating surprising behaviour in materials with finite strains, as well as comparisons between theoretical predictions and experimental data for rubber-like polymers and elastomers.The book aims to fill a gap between mathematicians specializing in nonlinear continuum mechanics, and physicists and engineers who apply the methods of solid mechanics to a wide range of problems in civil and mechanical engineering, materials science, and polymer physics. The book has been developed from a graduate course in applied mathematics which the author has given for a number of years.
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.
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.
Stability In Viscoelasticity
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Author : A.D. Drozdov
language : en
Publisher: Elsevier
Release Date : 2013-10-22
Stability In Viscoelasticity written by A.D. Drozdov and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-22 with Science categories.
The subject of stability problems for viscoelastic solids and elements of structures, with which this book is concerned, has been the focus of attention in the past three decades. This has been due to the wide inculcation of viscoelastic materials, especially polymers and plastics, in industry. Up-to-date studies in viscoelasticity are published partially in purely mathematical journals, partially in merely applied ones, and as a consequence, they remain unknown to many interested specialists. Stability in Viscoelasticity fills the gap between engineers and mathematicians and converges theoretical and applied directions of investigations. All chapters contain extensive bibliographies of both purely mathematical and engineering works on stability problems. The bibliography includes a number of works in Russian which are practically inaccessible to the Western reader.
Nonlinear Effects In Fluids And Solids
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Author : Michael M. Carroll
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Nonlinear Effects In Fluids And Solids written by Michael M. Carroll 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.
This volume of scientific papers is dedicated with gratitude and esteem to Ronald Rivlin and is offered as a token of appreciation by former students, col laborators, and friends. Ronald Rivlin's name is synonymous with modem developments in contin uum mechanics. His outstanding pioneering theoretical and experimental re ·search in finite elasticity is a landmark. From his work there has followed a spate of developments in which he played the leading role-the theory of fiber-rein forced materials, the developments of the theory of constitutive equations, the theory of materials with memory, the theory of the fracture of elastomers, the theory of viscoelastic fluids and solids, the development of nonlinear crystal physics, the theory of small deformations superimposed on large, and the effect of large initial strain on wave propagation. It is in Rivlin's work that universal relations were first recognized. Here also are to be found lucid explanations of physical phenomena such as the Poynting effect for elastic rods in torsion. Addi tionally, he and his co-workers predicted the presence of secondary flows for viscoelastic fluids in straight pipes of noncircular cross section under a uniform pressure head. While some others may have displayed a cavalier lack of concern for physical reality and an intoxication with mathematical idiom, Rivlin has al ways been concerned with genuine mathematical and physical content. All of his papers contain interesting and illuminating material-and may be read with profit by anyone interested in continuum mechanics.