Nonlinear Viscoelasticity of Almost-elastic Materials PDF Download
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Author: F. J. Lockett
Publisher:
ISBN:
Category : Viscoelasticity
Languages : en
Pages : 27
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Book Description
A theory is developed for nonlinear viscoelastic materials whose behavior differs only slightly from that of a nonlinear elastic material. Solutions of problems are considered as perturbations about the solution of the corresponding problem for an elastic material, and the perturbation equations are relatively simple to solve. It is shown that, in a wide class of practically important problems, the experimental task of determining parameters is feasible, and the problem of inter-relating different types of material parameters is tractable. (Author).
Author: F. J. Lockett
Publisher:
ISBN:
Category : Viscoelasticity
Languages : en
Pages : 27
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Book Description
A theory is developed for nonlinear viscoelastic materials whose behavior differs only slightly from that of a nonlinear elastic material. Solutions of problems are considered as perturbations about the solution of the corresponding problem for an elastic material, and the perturbation equations are relatively simple to solve. It is shown that, in a wide class of practically important problems, the experimental task of determining parameters is feasible, and the problem of inter-relating different types of material parameters is tractable. (Author).
Author: William N. Findley
Publisher: Courier Corporation
ISBN: 0486145174
Category : Technology & Engineering
Languages : en
Pages : 402
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Book Description
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.
Author: Wilhelm Flügge
Publisher: Springer Science & Business Media
ISBN: 3662022761
Category : Technology & Engineering
Languages : en
Pages : 204
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Book Description
No mathematical theory can completely describe the complex world around us. Every theory is aimed at a certain class of phenomena, formulates their essential features, and disregards what is of minor importance. The theory meets its limits of applicability where a dis regarded influence becomes important. Thus, rigid-body dynamics describes in many cases the motion of actual bodies with high accu racy, but it fails to produce more than a few general statements in the case of impact, because elastic or anelastic deformation, no matter how local or how small, attains a dominating influence. For a long time mechanics of deformable bodies has been based upon Hooke's law - that is, upon thE" assumption of linear elasticity. It was well known that most engineering materials like metals, con crde, wood, soil, are not linearly elastic or, are so within limits too narrow to cover tne range of pl'actical intcrest. Nevertheless, almost all routine stress analysis is still based on Hooke T s law be cause of its simplicity. In the course of time engineers have become increasingly con scious of the importance of the anelastic behavior of many materials, and mathematical formulations have been attempted and applied to practical problems. Outstanding among them are the theories of ide ally plastic and of viscoelastic materials. While plastic behavior is essentially nonlinear (piecewise linear at best), viscoelasticity, like elasticity, permits a linear theory. This theory of linear visco elasticity is the subject of tbe present book.
Author: Aleksey D. Drozdov
Publisher: World Scientific
ISBN: 9789810224332
Category : Science
Languages : en
Pages : 464
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 988
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Book Description
Author: William Nichols Findley
Publisher:
ISBN: 9780720423693
Category : Materials
Languages : en
Pages : 367
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Book Description
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.
Author: F. J. Lockett
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 216
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Book Description
Author: Eduard Starovoitov
Publisher: CRC Press
ISBN: 1466558792
Category : Science
Languages : en
Pages : 356
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Book Description
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 a
Author: A.D. Drozdov
Publisher: Elsevier
ISBN: 1483290522
Category : Mathematics
Languages : en
Pages : 623
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Book Description
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.
Author: R. W. Ogden
Publisher: Courier Corporation
ISBN: 0486696480
Category : Technology & Engineering
Languages : en
Pages : 562
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Book Description
Classic in the field covers application of theory of finite elasticity to solution of boundary-value problems, analysis of mechanical properties of solid materials capable of large elastic deformations. Problems. References.
