Mechanics Of Viscoelastic Solids

Author : Roderic S. Lakes
Publisher : CRC Press
Page : 318 pages
File Size : 50,5 Mb
Release : 2017-11-22
Category : Technology & Engineering
ISBN : 9781351355643

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Viscoelastic Solids (1998) by Roderic S. Lakes Pdf

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.

Author : Aleksey D. Drozdov
Publisher : John Wiley & Sons
Page : 492 pages
File Size : 49,8 Mb
Release : 1998-03-06
Category : Mathematics
ISBN : UOM:39015040327911

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Mechanics of Viscoelastic Solids by Aleksey D. Drozdov Pdf

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.

Author : Clifford Truesdell,Lynn Marshall Barker
Publisher : Unknown
Page : 364 pages
File Size : 50,9 Mb
Release : 1984
Category : Elastic solids
ISBN : UCAL:B4323535

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Waves in Elastic and Viscoelastic Solids by Clifford Truesdell,Lynn Marshall Barker Pdf

Author : Aleksey D. Drozdov
Publisher : Academic Press
Page : 596 pages
File Size : 53,5 Mb
Release : 1998-02-09
Category : Science
ISBN : 008054360X

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Viscoelastic Structures by Aleksey D. Drozdov Pdf

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 processes 1Includes numerous examples to demonstrate theory which have not been included in previous literature 1Employs one consistent, user-friendly method to study a number of technological processes 1Features unique approach to aging materials 1Appendices cover background material on tensor calculus, kinematics with finite strains, stochastic differential equations, and evolutionary equations with operator coefficients

Author : R. M. Christensen
Publisher : Courier Corporation
Page : 384 pages
File Size : 43,7 Mb
Release : 2013-04-26
Category : Technology & Engineering
ISBN : 9780486318967

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Theory of Viscoelasticity by R. M. Christensen Pdf

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.

Author : Roderic S. Lakes
Publisher : Cambridge University Press
Page : 481 pages
File Size : 52,9 Mb
Release : 2009-04-27
Category : Science
ISBN : 9780521885683

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Viscoelastic Materials by Roderic S. Lakes Pdf

This graduate text on viscoelastic materials addresses design applications as diverse as earplugs, computer disks and medical diagnostics.

Author : C. Truesdell
Publisher : Springer
Page : 0 pages
File Size : 53,5 Mb
Release : 1984-06-01
Category : Science
ISBN : 3540131639

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Mechanics of Solids by C. Truesdell Pdf

Reissue of Encyclopedia of Physics / Handbuch der Physik, Volume VIa The mechanical response of solids was first reduced to an organized science of fairly general scope in the nineteenth century. The theory of small elastic deformations is in the main the creation of CAUCHY, who, correcting and simplifying the work of N AVIER and POISSON, through an astounding application of conjoined scholarship, originality, and labor greatly extended in breadth the shallowest aspects of the treatments of par ticular kinds of bodies by GALILEO, LEIBNIZ, JAMES BERNOULLI, PARENT, DANIEL BER NOULLI, EULER, and COULOMB. Linear elasticity became a branch of mathematics, culti vated wherever there were mathematicians. The magisterial treatise of LOVE in its second edition, 1906 - clear, compact, exhaustive, and learned - stands as the summary of the classical theory. It is one of the great "gaslight works" that in BOCHNER'S words! "either do not have any adequate successor[s] '" or, at least, refuse to be super seded . . . ; and so they have to be reprinted, in ever increasing numbers, for active research and reference", as long as State and Society shall permit men to learn mathe matics by, for, and of men's minds. Abundant experimentation on solids was done during the same century. Usually the materials arising in nature, with which experiment most justly concerns itself, do not stoop easily to the limitations classical elasticity posits.

Author : Danton Gutierrez-Lemini
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 44,6 Mb
Release : 2013-09-12
Category : Technology & Engineering
ISBN : 9781461481393

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Engineering Viscoelasticity by Danton Gutierrez-Lemini Pdf

Engineering Viscoelasticity covers all aspects of the thermo- mechanical response of viscoelastic substances that a practitioner in the field of viscoelasticity would need to design experiments, interpret test data, develop stress-strain models, perform stress analyses, design structural components, and carry out research work. The material in each chapter is developed from the elementary to the esoteric, providing the background in mathematics and mechanics that are central to understanding the subject matter being presented. This book also examines how viscoelastic materials respond to the application of loads, and provides practical guidelines to use them in the design of commercial, military and industrial applications.

Author : Aleksey D. Drozdov
Publisher : World Scientific
Page : 464 pages
File Size : 44,6 Mb
Release : 1996-01-01
Category : Science
ISBN : 9810224338

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Finite Elasticity and Viscoelasticity by Aleksey D. Drozdov Pdf

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 : Grover L. Rogers
Publisher : Unknown
Page : 280 pages
File Size : 51,7 Mb
Release : 1964
Category : Mechanics, Applied
ISBN : STANFORD:36105025729646

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Mechanics of Solids by Grover L. Rogers Pdf

Author : F. J. Lockett
Publisher : Unknown
Page : 216 pages
File Size : 55,8 Mb
Release : 1972
Category : Science
ISBN : UOM:39076006503473

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Nonlinear Viscoelastic Solids by F. J. Lockett Pdf

Author : Lallit Anand,Sanjay Govindjee
Publisher : Oxford University Press
Page : 722 pages
File Size : 51,6 Mb
Release : 2020-07-21
Category : Science
ISBN : 9780192633699

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Continuum Mechanics of Solids by Lallit Anand,Sanjay Govindjee Pdf

Continuum Mechanics of Solids is an introductory text for graduate students in the many branches of engineering, covering the basics of kinematics, equilibrium, and material response. As an introductory book, most of the emphasis is upon the kinematically linear theories of elasticity, plasticity, and viscoelasticity, with two additional chapters devoted to topics in finite elasticity. Further chapters cover topics in fracture and fatigue and coupled field problems, such as thermoelasticity, chemoelasticity, poroelasticity, and piezoelectricity. There is ample material for a two semester course, or by selecting only topics of interest for a one-semester offering. The text includes numerous examples to aid the student. A companion text with over 180 fully worked problems is also available.

Author : Clifford Truesdell
Publisher : Springer
Page : 668 pages
File Size : 52,8 Mb
Release : 1984
Category : Science
ISBN : STANFORD:36105000616693

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Theory of Viscoelasticity, Plasticity, Elastic Waves, and Elastic Stability by Clifford Truesdell Pdf

Author : William N. Findley,Francis A. Davis
Publisher : Courier Corporation
Page : 402 pages
File Size : 45,8 Mb
Release : 2013-01-15
Category : Technology & Engineering
ISBN : 9780486145174

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Creep and Relaxation of Nonlinear Viscoelastic Materials by William N. Findley,Francis A. Davis Pdf

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 : A.D. Drozdov,V.B. Kolmanovskii
Publisher : Elsevier
Page : 623 pages
File Size : 43,9 Mb
Release : 2013-10-22
Category : Mathematics
ISBN : 9781483290522

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Stability in Viscoelasticity by A.D. Drozdov,V.B. Kolmanovskii Pdf

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.