Nonlinear Viscoelastic Solids

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Creep and Relaxation of Nonlinear Viscoelastic Materials

Author : William N. Findley
Publisher : Courier Corporation
ISBN 13 : 0486145174
Total Pages : 402 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Creep and Relaxation of Nonlinear Viscoelastic Materials by : William N. Findley

Download or read book Creep and Relaxation of Nonlinear Viscoelastic Materials written by William N. Findley and published by Courier Corporation. This book was released on 2013-01-15 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Viscoelastic Solids

Author : F. J. Lockett
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.3/5 (97 download)

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Book Synopsis Nonlinear Viscoelastic Solids by : F. J. Lockett

Download or read book Nonlinear Viscoelastic Solids written by F. J. Lockett and published by . This book was released on 1972 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Viscoelastic Solids (1998)

Author : Roderic S. Lakes
Publisher : CRC Press
ISBN 13 : 1351355643
Total Pages : 476 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Viscoelastic Solids (1998) by : Roderic S. Lakes

Download or read book Viscoelastic Solids (1998) written by Roderic S. Lakes and published by CRC Press. This book was released on 2017-11-22 with total page 476 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.

Viscoelasticity

Author : Juan de Vicente
Publisher :
ISBN 13 : 9789535162636
Total Pages : 372 pages
Book Rating : 4.1/5 (626 download)

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Book Synopsis Viscoelasticity by : Juan de Vicente

Download or read book Viscoelasticity written by Juan de Vicente and published by . This book was released on 2012 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Viscoelastic Solids [By] F. J. Lockett

Author : F. J. Lockett
Publisher :
ISBN 13 :
Total Pages : 195 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Nonlinear Viscoelastic Solids [By] F. J. Lockett by : F. J. Lockett

Download or read book Nonlinear Viscoelastic Solids [By] F. J. Lockett written by F. J. Lockett and published by . This book was released on 1972 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Mechanics of Viscoelastic Solids

Author : Aleksey D. Drozdov
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mechanics of Viscoelastic Solids by : Aleksey D. Drozdov

Download or read book Mechanics of Viscoelastic Solids written by Aleksey D. Drozdov and published by John Wiley & Sons. This book was released on 1998-03-06 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the mechanical response in viscoelastic media under isothermal and nonisothermal conditions. The viscoelastic response covered in this book is observed in a wide variety of common materials: polymers and plastics, metals and alloys at elevated temperatures, concrete, soils, road construction and building materials, biological tissues, and foodstuffs. Emphasizing the mechanical behavior of solid polymers subjected to physical aging, the book analyzes constitutive equations in thermoviscoelasticity and compares the results of numerical simulation with experimental data. After covering linear viscoelastic media at small strains, a clear approach to nonlinear constitutive equations in viscoelasticity at small strains and at finite strains is developed. The book concludes with coverage of constitutive relations in thermoviscoelasticity which account for thermally-induced changes both in elastic moduli and relaxation spectra. Written for specialists in mechanical and chemical engineering in the fields of manufacturing polymer and polymer-composite articles, this book will also appeal to specialists in applied and industrial mathematics, mechanics of continua and polymer physics who study the response of solid polymers to thermomechanical stimuli.

Creep and Relaxation of Nonlinear Viscoelastic Materials

Author : William Nichols Findley
Publisher :
ISBN 13 : 9780720423693
Total Pages : 367 pages
Book Rating : 4.4/5 (236 download)

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Book Synopsis Creep and Relaxation of Nonlinear Viscoelastic Materials by : William Nichols Findley

Download or read book Creep and Relaxation of Nonlinear Viscoelastic Materials written by William Nichols Findley and published by . This book was released on 1976 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Constitutive Modelling of Solid Continua

Author : José Merodio
Publisher : Springer Nature
ISBN 13 : 3030315479
Total Pages : 397 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Constitutive Modelling of Solid Continua by : José Merodio

Download or read book Constitutive Modelling of Solid Continua written by José Merodio and published by Springer Nature. This book was released on 2019-11-14 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of chapters by recognized experts to provide a comprehensive fundamental theoretical continuum treatment of constitutive laws used for modelling the mechanical and coupled-field properties of various types of solid materials. It covers the main types of solid material behaviour, including isotropic and anisotropic nonlinear elasticity, implicit theories, viscoelasticity, plasticity, electro- and magneto-mechanical interactions, growth, damage, thermomechanics, poroelasticity, composites and homogenization. The volume provides a general framework for research in a wide range of applications involving the deformation of solid materials. It will be of considerable benefit to both established and early career researchers concerned with fundamental theory in solid mechanics and its applications by collecting diverse material in a single volume. The readership ranges from beginning graduate students to senior researchers in academia and industry.

Viscoelastic Properties of Polymers

Author : John D. Ferry
Publisher : John Wiley & Sons
ISBN 13 : 9780471048947
Total Pages : 676 pages
Book Rating : 4.0/5 (489 download)

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Book Synopsis Viscoelastic Properties of Polymers by : John D. Ferry

Download or read book Viscoelastic Properties of Polymers written by John D. Ferry and published by John Wiley & Sons. This book was released on 1980-09-16 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic behavior reflects the combined viscous and elastic responses, under mechanical stress, of materials which are intermediate between liquids and solids in character. Polymers the basic materials of the rubber and plastic industries and important to the textile, petroleum, automobile, paper, and pharmaceutical industries as well exhibit viscoelasticity to a pronounced degree. Their viscoelastic properties determine the mechanical performance of the final products of these industries, and also the success of processing methods at intermediate stages of production. Viscoelastic Properties of Polymers examines, in detail, the effects of the many variables on which the basic viscoelastic properties depend. These include temperature, pressure, and time; polymer chemical composition, molecular weight and weight distribution, branching and crystallinity; dilution with solvents or plasticizers; and mixture with other materials to form composite systems. With guidance by molecular theory, the dependence of viscoelastic properties on these variables can be simplified by introducing certain ancillary concepts such as the fractional free volume, the monomeric friction coefficient, and the spacing between entanglement loci, to provide a qualitative understanding and in many cases a quantitative prediction of how to achieve desired results. The phenomenological theory of viscoelasticity which permits interrelation of the results of different types of experiments is presented first, with many useful approximation procedures for calculations given. A wide variety of experimental methods is then described, with critical evaluation of their applicability to polymeric materials of different consistencies and in different regions of the time scale (or, for oscillating deformations, the frequency scale). A review of the present state of molecular theory follows, so that viscoelasticity can be related to the motions of flexible polymer molecules and their entanglements and network junctions. The dependence of viscoestic properties on temperature and pressure, and its descriptions using reduced variables, are discussed in detail. Several chapters are then devoted to the dependence of viscoelastic properties on chemical composition, molecular weight, presence of diluents, and other features, for several characteristic classes of polymer materials. Finally, a few examples are given to illustrate the many potential applications of these principles to practical problems in the processing and use of rubbers, plastics, and fibers, and in the control of vibration and noise. The third edition has been brought up to date to reflect the important developments, in a decade of exceptionally active research, which have led to a wider use of polymers, and a wider recognition of the importance and range of application of viscoelastic properties. Additional data have been incorporated, and the book s chapters on dilute solutions, theory of undiluted polymers, plateau and terminal zones, cross-linked polymers, and concentrated solutions have been extensively rewritten to take into account new theories and new experimental results. Technical managers and research workers in the wide range of industries in which polymers play an important role will find that the book provides basic information for practical applications, and graduate students in chemistry and engineering will find, in its illustrations with real data and real numbers, an accessible introduction to the principles of viscoelasticity.

Stability in Viscoelasticity

Author : A.D. Drozdov
Publisher : Elsevier
ISBN 13 : 1483290522
Total Pages : 623 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Stability in Viscoelasticity by : A.D. Drozdov

Download or read book Stability in Viscoelasticity written by A.D. Drozdov and published by Elsevier. This book was released on 2013-10-22 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Development of Singularities in Nonlinear Viscoelasticity

Author : J. A. Nohel
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Development of Singularities in Nonlinear Viscoelasticity by : J. A. Nohel

Download or read book Development of Singularities in Nonlinear Viscoelasticity written by J. A. Nohel and published by . This book was released on 1985 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper discusses the motion of nonlinear viscoelastic materials with fading memory in one space dimension. It concentrates on viscoelastic solids and briefly remark on similar results for fluids. After formulating the mathematical problems, the authors survey results for global existence of classical solutions to the initial value problem, provided the initial data are sufficiently small. They then discuss in some detail the development of singularities in initially smooth solutions for large data. Keywords: nonlinear hyperbolic problems; Volterra integrodifferential equations; dissipation; decay; shocks; viscoelastic fluids.

Theory of Viscoelasticity

Author : R. M. Christensen
Publisher : Courier Corporation
ISBN 13 : 0486318966
Total Pages : 384 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Theory of Viscoelasticity by : R. M. Christensen

Download or read book Theory of Viscoelasticity written by R. M. Christensen and published by Courier Corporation. This book was released on 2013-04-26 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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.

Viscoelastic Structures

Author : Aleksey D. Drozdov
Publisher : Academic Press
ISBN 13 : 008054360X
Total Pages : 615 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Viscoelastic Structures by : Aleksey D. Drozdov

Download or read book Viscoelastic Structures written by Aleksey D. Drozdov and published by Academic Press. This book was released on 1998-02-09 with total page 615 pages. Available in PDF, EPUB and Kindle. Book excerpt: Viscoelastic Structures covers the four basic problems in the mechanics of viscoelastic solids and structural members: construction of constitutive models for the description of thermoviscoelastic behavior of polymers; mathematical modeling of manufacturing advanced composite materials; optimal-design of structural members and technological processes of their fabrication; and stability analysis for thin-walled structural members driven by time-varying loads.This book familiarizes the reader with state-of-the-art mathematical models for advanced materials and processes, and demonstrates their applications in modeling and simulating specific manufacturing processes. Viscoelastic Structures also demonstrates the effects of material, geometrical, and technological parameters on the characteristic features of viscoelastic structures. 1Presents state-of-the-art mathematical models and methods which serve for the analysis of advanced technological processes1Includes numerous examples to demonstrate theory which have not been included in previous literature1Employs one consistent, user-friendly method to study a number of technological processes1Features unique approach to aging materials1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients

Nonlinear Solid Mechanics

Author : Gerhard A. Holzapfel
Publisher :
ISBN 13 :
Total Pages : 482 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Nonlinear Solid Mechanics by : Gerhard A. Holzapfel

Download or read book Nonlinear Solid Mechanics written by Gerhard A. Holzapfel and published by . This book was released on 2000-04-06 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing a modern and comprehensive coverage of continuum mechanics, this volume includes information on "variational principles"--Significant, as this is the only method by which such material is actually utilized in engineering practice.