Finite Elasticity And Viscoelasticity

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Finite Elasticity And Viscoelasticity: A Course In The Nonlinear Mechanics Of Solids

Author : Aleksey Drozdov
Publisher : World Scientific
ISBN 13 : 9814499757
Total Pages : 456 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Finite Elasticity And Viscoelasticity: A Course In The Nonlinear Mechanics Of Solids by : Aleksey Drozdov

Download or read book Finite Elasticity And Viscoelasticity: A Course In The Nonlinear Mechanics Of Solids written by Aleksey Drozdov and published by World Scientific. This book was released on 1996-01-11 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Elasticity and Viscoelasticity

Author : Aleksey D. Drozdov
Publisher :
ISBN 13 : 9786613948342
Total Pages : 434 pages
Book Rating : 4.9/5 (483 download)

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Book Synopsis Finite Elasticity and Viscoelasticity by : Aleksey D. Drozdov

Download or read book Finite Elasticity and Viscoelasticity written by Aleksey D. Drozdov and published by . This book was released on 1996 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Elasticity and Viscoelasticity

Author : Aleksey D. Drozdov
Publisher : World Scientific
ISBN 13 : 9789810224332
Total Pages : 464 pages
Book Rating : 4.2/5 (243 download)

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Book Synopsis Finite Elasticity and Viscoelasticity by : Aleksey D. Drozdov

Download or read book Finite Elasticity and Viscoelasticity written by Aleksey D. Drozdov and published by World Scientific. This book was released on 1996-01-01 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Theory of Linear Viscoelasticity

Author : D. R. Bland
Publisher : Courier Dover Publications
ISBN 13 : 0486816389
Total Pages : 145 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis The Theory of Linear Viscoelasticity by : D. R. Bland

Download or read book The Theory of Linear Viscoelasticity written by D. R. Bland and published by Courier Dover Publications. This book was released on 2016-10-05 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Continuum Mechanics

Author : Ellis H. Dill
Publisher : CRC Press
ISBN 13 : 9780849397790
Total Pages : 382 pages
Book Rating : 4.3/5 (977 download)

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Book Synopsis Continuum Mechanics by : Ellis H. Dill

Download or read book Continuum Mechanics written by Ellis H. Dill and published by CRC Press. This book was released on 2006-11-10 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most books on continuum mechanics focus on elasticity and fluid mechanics. But whether student or practicing professional, modern engineers need a more thorough treatment to understand the behavior of the complex materials and systems in use today. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity offers a complete tour of the subject that includes not only elasticity and fluid mechanics but also covers plasticity, viscoelasticity, and the continuum model for fatigue and fracture mechanics. In addition to a broader scope, this book also supplies a review of the necessary mathematical tools and results for a self-contained treatment. The author provides finite element formulations of the equations encountered throughout the chapters and uses an approach with just the right amount of mathematical rigor without being too theoretical for practical use. Working systematically from the continuum model for the thermomechanics of materials, coverage moves through linear and nonlinear elasticity using both tensor and matrix notation, plasticity, viscoelasticity, and concludes by introducing the fundamentals of fracture mechanics and fatigue of metals. Requisite mathematical tools appear in the final chapter for easy reference. Continuum Mechanics: Elasticity, Plasticity, Viscoelasticity builds a strong understanding of the principles, equations, and finite element formulations needed to solve real engineering problems.

Viscoelastic Materials

Author : Roderic S. Lakes
Publisher : Cambridge University Press
ISBN 13 : 052188568X
Total Pages : 481 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Viscoelastic Materials by : Roderic S. Lakes

Download or read book Viscoelastic Materials written by Roderic S. Lakes and published by Cambridge University Press. This book was released on 2009-04-27 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text on viscoelastic materials addresses design applications as diverse as earplugs, computer disks and medical diagnostics.

Recent Advances In Elasticity, Viscoelasticity And Inelasticity

Author : Kumbakonam R Rajagopal
Publisher : World Scientific
ISBN 13 : 9814501050
Total Pages : 250 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Recent Advances In Elasticity, Viscoelasticity And Inelasticity by : Kumbakonam R Rajagopal

Download or read book Recent Advances In Elasticity, Viscoelasticity And Inelasticity written by Kumbakonam R Rajagopal and published by World Scientific. This book was released on 1995-02-20 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers dedicated to Prof T C Woo to mark his 70th birthday. The papers focus on recent advances in elasticity, viscoelasticity and inelasticity, which are related to Prof Woo's work. Prof Woo's recent work concentrates on the viscoelastic and viscoplastic response of metals and plastics when thermal effects are significant, and the papers here address open questions in these and related areas.

Viscoelasticity

Author : Wilhelm Flügge
Publisher : Springer Science & Business Media
ISBN 13 : 3662022761
Total Pages : 204 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Viscoelasticity by : Wilhelm Flügge

Download or read book Viscoelasticity written by Wilhelm Flügge and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Finite Elasticity And Viscoelasticity: Course In The Nonlinear Mechanics Of Solids

Author : A.D. Drozdov
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (14 download)

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Book Synopsis Finite Elasticity And Viscoelasticity: Course In The Nonlinear Mechanics Of Solids by : A.D. Drozdov

Download or read book Finite Elasticity And Viscoelasticity: Course In The Nonlinear Mechanics Of Solids written by A.D. Drozdov and published by . This book was released on with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity

Author : Eduard Starovoitov
Publisher : CRC Press
ISBN 13 : 1466558792
Total Pages : 356 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity by : Eduard Starovoitov

Download or read book Foundations of the Theory of Elasticity, Plasticity, and Viscoelasticity written by Eduard Starovoitov and published by CRC Press. This book was released on 2012-07-18 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Viscoelasticity and Rheology

Author : Arthur S. Lodge
Publisher : Academic Press
ISBN 13 : 1483263355
Total Pages : 456 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Viscoelasticity and Rheology by : Arthur S. Lodge

Download or read book Viscoelasticity and Rheology written by Arthur S. Lodge and published by Academic Press. This book was released on 2014-06-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelasticity and Rheology covers the proceedings of a symposium by the same title, conducted by the Mathematics Research Center held at the University of Wisconsin-Madison on October 16-18, 1984. The contributions to the symposium are divided into four broad categories, namely, experimental results, constitutive theories, mathematical analysis, and computation. This 16-chapter work begins with experimental topics, including the motion of bubbles in viscoelastic fluids, wave propagation in viscoelastic solids, flows through contractions, and cold-drawing of polymers. The next chapters covering constitutive theories explore the molecular theories for polymer solutions and melts based on statistical mechanics, the use and limitations of approximate constitutive theories, a comparison of constitutive laws based on various molecular theories, network theories and some of their advantages in relation to experiments, and models for viscoplasticity. These topics are followed by discussions of the existence, regularity, and development of singularities, change of type, interface problems in viscoelasticity, existence for initial value problems and steady flows, and propagation and development of singularities. The remaining chapters deal with the numerical simulation of flow between eccentric cylinders, flow around spheres and bubbles, the hole pressure problem, and a review of computational problems related to various constitutive laws. This book will prove useful to chemical engineers, researchers, and students.

Viscoelastic Solids

Author : Roderic S. Lakes
Publisher : CRC Press
ISBN 13 : 9780849396588
Total Pages : 494 pages
Book Rating : 4.3/5 (965 download)

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Book Synopsis Viscoelastic Solids by : Roderic S. Lakes

Download or read book Viscoelastic Solids written by Roderic S. Lakes and published by CRC Press. This book was released on 1998-10-28 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mechanics of Incremental Deformations

Author : Maurice Anthony Biot
Publisher :
ISBN 13 :
Total Pages : 536 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mechanics of Incremental Deformations by : Maurice Anthony Biot

Download or read book Mechanics of Incremental Deformations written by Maurice Anthony Biot and published by . This book was released on 1965 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Viscoelasticity Theory

Author : Allen C. Pipkin
Publisher : Springer Science & Business Media
ISBN 13 : 1461599709
Total Pages : 190 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Lectures on Viscoelasticity Theory by : Allen C. Pipkin

Download or read book Lectures on Viscoelasticity Theory written by Allen C. Pipkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Theory of Viscoelasticity, Plasticity, Elastic Waves, and Elastic Stability

Author : Clifford Truesdell
Publisher : Springer
ISBN 13 :
Total Pages : 668 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Theory of Viscoelasticity, Plasticity, Elastic Waves, and Elastic Stability by : Clifford Truesdell

Download or read book Theory of Viscoelasticity, Plasticity, Elastic Waves, and Elastic Stability written by Clifford Truesdell and published by Springer. This book was released on 1984 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity

Author : Weimin Han
Publisher : American Mathematical Soc.
ISBN 13 : 0821831925
Total Pages : 464 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity by : Weimin Han

Download or read book Quasistatic Contact Problems in Viscoelasticity and Viscoplasticity written by Weimin Han and published by American Mathematical Soc.. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Índice: Function spaces and their properties; Introduction to finite difference and finite element approximations; Variational inequalities; Constitutive relations in solid mechanics; Background on variational and numerical analysis in contact mechanics; Contact problems in elasticity; Bilateral contact with slip dependent friction; Frictional contact with normal compliance; Frictional contact with normal damped response; Other viscoelastic contact problems; Frictionless contact with dissipative potential; Frictionless contact between two viscoplastic bodies; Bilateral contact with Tresca's friction law; Other viscoelastic contact problems; Bibliography; Index.

Computational Viscoelasticity

Author : Severino P. C. Marques
Publisher : Springer Science & Business Media
ISBN 13 : 3642253105
Total Pages : 125 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Computational Viscoelasticity by : Severino P. C. Marques

Download or read book Computational Viscoelasticity written by Severino P. C. Marques and published by Springer Science & Business Media. This book was released on 2012-01-03 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is a guide how to solve problems in which viscoelasticity is present using existing commercial computational codes. The book gives information on codes’ structure and use, data preparation and output interpretation and verification. The first part of the book introduces the reader to the subject, and to provide the models, equations and notation to be used in the computational applications. The second part shows the most important Computational techniques: Finite elements formulation, Boundary elements formulation, and presents the solutions of Viscoelastic problems with Abaqus.