Viscoelasticity

Author : Wilhelm Flügge
Publisher : Springer Science & Business Media
Page : 204 pages
File Size : 55,5 Mb
Release : 2013-03-14
Category : Technology & Engineering
ISBN : 9783662022764

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Viscoelasticity by Wilhelm Flügge Pdf

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 : Montgomery T. Shaw,William J. MacKnight
Publisher : John Wiley & Sons
Page : 339 pages
File Size : 55,9 Mb
Release : 2005-08-19
Category : Technology & Engineering
ISBN : 9780471741824

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Introduction to Polymer Viscoelasticity by Montgomery T. Shaw,William J. MacKnight Pdf

A revised molecular approach to a classic on viscoelasticbehavior Because viscoelasticity affects the properties, appearance,processing, and performance of polymers such as rubber, plastic,and adhesives, a proper utilization of such polymers requires aclear understanding of viscoelastic behavior. Now in its third edition, Introduction to Polymer Viscoelasticityremains a classic in the literature of molecular viscoelasticity,bridging the gap between primers on polymer science and advancedresearch-level monographs. Assuming a molecular, rather than amechanical approach, the text provides a strong grounding in thefundamental concepts, detailed derivations, and particularattention to assumptions, simplifications, and limitations. This Third Edition has been entirely revised and updated to reflectrecent developments in the field. New chapters include: * Phenomenological Treatment of Viscoelasticity * Viscoelastic Models * Time-Temperature Correspondence * Transitions and Relaxation in Polymers * Elasticity of Rubbery Networks * Dielectric and NMR Methods With detailed explanations, corresponding equations, andexperimental methods, supported by real-life applications (as wellas the inclusion of a CD-ROM with data to support the exercises),this Third Edition provides today's students and professionals withthe tools they need to create polymers with more desirablequalities than ever.

Author : Nhan Phan-Thien
Publisher : Springer Science & Business Media
Page : 164 pages
File Size : 50,6 Mb
Release : 2008-09-15
Category : Technology & Engineering
ISBN : 3540433953

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Understanding Viscoelasticity by Nhan Phan-Thien Pdf

In this book, the necessary background for understanding viscoelasticity is covered; both the continuum and microstructure approaches to modelling viscoelastic materials are discussed, since neither approach alone is sufficient.

Author : Danton Gutierrez-Lemini
Publisher : Springer Science & Business Media
Page : 379 pages
File Size : 42,8 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 : Roderic S. Lakes
Publisher : Cambridge University Press
Page : 481 pages
File Size : 54,8 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 : Pouria Hajikarimi,Fereidoon Moghadas Nejad
Publisher : Elsevier
Page : 245 pages
File Size : 48,6 Mb
Release : 2021-04-27
Category : Technology & Engineering
ISBN : 9780128212110

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Applications of Viscoelasticity by Pouria Hajikarimi,Fereidoon Moghadas Nejad Pdf

Applications of Viscoelasticity: Bituminous Materials Characterization and Modeling starts with an introduction to the theory of viscoelasticity, emphasizing its importance to various applications in material characterization and modeling. It next looks at constitutive viscoelastic functions, outlines basic equations for different loading conditions, and introduces the Boltzmann superposition principle, relaxation modulus, and creep compliance. Mechanical models, including integer-order and fractional-order are studied next, featuring real experimentation data alongside the benefits and drawbacks of using each model in various real-world scenarios. The book then covers the correspondence principle, followed by time–temperature superposition, featuring a simple procedure to construct a real master curve and challenges that might be encountered. The concluding chapters cover the Hopkins and Hamming, Park and Kim, and General Power law methods for interconversion of constitutive viscoelastic functions, applications of viscoelasticity for experimental tests, and incremental form of viscoelastic relations for numerical modeling. The book also includes supplementary codes that users can duplicate and use in their own work. Takes an applied approach to material viscoelasticity, explaining complicated viscoelastic equations and principles Presents examples of those equations and principles being applied to common problems in realworld settings Covers constitutive viscoelastic functions, including relaxation modulus and creep compliance Outlines the construction of a master curve of viscoelastic material considering time–temperature superposition Couples the correspondence principle with common viscoelastic experiments, such as threepoint bending beam, axial and torsional bar, and dynamic shear rheometer Provides supplementary codes

Author : R. M. Christensen
Publisher : Courier Corporation
Page : 384 pages
File Size : 51,5 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 : Severino P. C. Marques,Guillermo J. Creus
Publisher : Springer Science & Business Media
Page : 125 pages
File Size : 46,7 Mb
Release : 2012-01-03
Category : Mathematics
ISBN : 9783642253102

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Computational Viscoelasticity by Severino P. C. Marques,Guillermo J. Creus Pdf

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.

Author : Kwang Soo Cho
Publisher : Springer
Page : 612 pages
File Size : 45,6 Mb
Release : 2016-05-30
Category : Technology & Engineering
ISBN : 9789401775649

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Viscoelasticity of Polymers by Kwang Soo Cho Pdf

This book offers a comprehensive introduction to polymer rheology with a focus on the viscoelastic characterization of polymeric materials. It contains various numerical algorithms for the processing of viscoelastic data, from basic principles to advanced examples which are hard to find in the existing literature. The book takes a multidisciplinary approach to the study of the viscoelasticity of polymers, and is self-contained, including the essential mathematics, continuum mechanics, polymer science and statistical mechanics needed to understand the theories of polymer viscoelasticity. It covers recent achievements in polymer rheology, such as theoretical and experimental aspects of large amplitude oscillatory shear (LAOS), and numerical methods for linear viscoelasticity, as well as new insights into the interpretation of experimental data. Although the book is balanced between the theoretical and experimental aspects of polymer rheology, the author’s particular interest in the theoretical side will not remain hidden. Aimed at readers familiar with the mathematics and physics of engineering at an undergraduate level, the multidisciplinary approach employed enables researchers with various scientific backgrounds to expand their knowledge of polymer rheology in a systematic way.

Author : Ivana Dusan Pajic-Lijakovic,Karine Guevorkian,Jose J. Munoz,Elias H. Barriga
Publisher : Frontiers Media SA
Page : 161 pages
File Size : 51,6 Mb
Release : 2021-11-25
Category : Science
ISBN : 9782889716951

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Viscoelasticity: From Individual Cell Behavior to Collective Tissue Remodeling by Ivana Dusan Pajic-Lijakovic,Karine Guevorkian,Jose J. Munoz,Elias H. Barriga Pdf

Author : Deepalekshmi Ponnamma,Sabu Thomas
Publisher : Springer
Page : 309 pages
File Size : 51,6 Mb
Release : 2014-11-20
Category : Technology & Engineering
ISBN : 9783319087023

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Non-Linear Viscoelasticity of Rubber Composites and Nanocomposites by Deepalekshmi Ponnamma,Sabu Thomas Pdf

Advances in Polymer Science enjoys a longstanding tradition and good reputation in its community. Each volume is dedicated to a current topic and each review critically surveys one aspect of that topic, to place it within the context of the volume. The volumes typically summarize the significant developments of the last 5 to 10 years and discuss them critically, presenting selected examples, explaining and illustrating the important principles and bringing together many important references of primary literature. On that basis, future research directions in the area can be discussed. Advances in Polymer Science volumes thus are important references for every polymer scientist, as well as for other scientists interested in polymer science - as an introduction to a neighboring field, or as a compilation of detailed information for the specialist.

Author : John M. Golden,George A.C. Graham
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 50,9 Mb
Release : 2013-04-17
Category : Science
ISBN : 9783662061565

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Boundary Value Problems in Linear Viscoelasticity by John M. Golden,George A.C. Graham Pdf

The classical theories of Linear Elasticity and Newtonian Fluids, though trium phantly elegant as mathematical structures, do not adequately describe the defor mation and flow of most real materials. Attempts to characterize the behaviour of real materials under the action of external forces gave rise to the science of Rheology. Early rheological studies isolated the phenomena now labelled as viscoelastic. Weber (1835, 1841), researching the behaviour of silk threats under load, noted an instantaneous extension, followed by a further extension over a long period of time. On removal of the load, the original length was eventually recovered. He also deduced that the phenomena of stress relaxation and damping of vibrations should occur. Later investigators showed that similar effects may be observed in other materials. The German school referred to these as "Elastische Nachwirkung" or "the elastic aftereffect" while the British school, including Lord Kelvin, spoke ofthe "viscosityofsolids". The universal adoption of the term "Viscoelasticity", intended to convey behaviour combining proper ties both of a viscous liquid and an elastic solid, is of recent origin, not being used for example by Love (1934), though Alfrey (1948) uses it in the context of polymers. The earliest attempts at mathematically modelling viscoelastic behaviour were those of Maxwell (1867) (actually in the context of his work on gases; he used this model for calculating the viscosity of a gas) and Meyer (1874).

Author : Y.-H. Lin
Publisher : World Scientific
Page : 441 pages
File Size : 44,7 Mb
Release : 2011
Category : Science
ISBN : 9789814313032

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Polymer Viscoelasticity by Y.-H. Lin Pdf

This book covers in great detail the Rouse-segment-based molecular theories in polymer viscoelasticity ? the Rouse theory and the extended reptation theory (based on the framework of the Doi?Edwards theory) ? that have been shown to explain experimental results in a consistently quantitative way. The explanation for the 3.4 power law of viscosity, quantitative line-shape analyses of viscoelastic responses and agreements between different sorts of viscoelastic responses, the consistency between the viscoelasticity and diffusion results, the clarification of the onset of entangelement, the discovery of the number of entanglement strands per cubed entanglement distance being a universal constant and the basic mechanism of the glass transition-related thermorheological complexity are discussed or shown in great detail. The mystery behind the success of the Rouse-segment-based molecular theories over the entropic region of a viscoelastic response is revealed by the Monte Carlo simulations on the Fraenkel chains. Specifically, the simulation studies give a natural explanation for the coexistence of the energy-driven and entropy-driven modes in a viscoelastic response and provide a theoretical basis resolving the paradox that the experimentally determined sizes of Rouse and Kuhn segments are nearly the same. This book starts from a very fundamental level; each chapter is built upon the contents of the previous chapters. Thus, the readers may use the book as a textbook and eventually reach an advanced research level. This book is also a useful source of reference for physicists, chemists and material scientists.

Author : Ivana Pajic-Lijakovic,Elias Barriga
Publisher : Academic Press
Page : 316 pages
File Size : 40,7 Mb
Release : 2021-01-13
Category : Technology & Engineering
ISBN : 9780128203118

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Viscoelasticity and Collective Cell Migration by Ivana Pajic-Lijakovic,Elias Barriga Pdf

Viscoelasticity and Collective Cell Migration: An Interdisciplinary Perspective Across Levels of Organization focuses on the main viscoelastic parameters formulated based on multiscale constitutive modeling and how to measure these rheological parameters based on existent micro-devices such as micro-rheology and micro-elastography. The book sheds light on inter-relationships across viscoelasticity scales, an essential step for understanding various biomedical processes such as morphogenesis, wound healing and cancers invasion. Cumulative effects of structural changes at subcellular and cellular levels influence viscoelasticity at a supracellular level are also covered, providing valuable insights for biologists, physicists, engineers, students and researchers in the field of developmental biology. As this is a complex multidisciplinary field, perspectives are included from experts in biology, biochemistry, biomedicine, biophysics and biorheology. Readers will gain a deeper understanding of the complex dynamics that represent challenges and the necessity for further development in the field. Discusses the biological/biochemical mechanisms of collective cell migration Covers the inter-relation between collective cell migration and viscoelasticity by proposing rheological parameters Contains critical consideration of various experimental techniques that are suitable to measure these parameters

Author : A.D. Drozdov,V.B. Kolmanovskii
Publisher : Elsevier
Page : 623 pages
File Size : 53,6 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.