Viscoelasticity

Viscoelasticity
Author: Wilhelm Flügge
Publisher: Springer Science & Business Media
Total Pages: 204
Release: 2013-03-14
Genre: Technology & Engineering
ISBN: 3662022761

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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.

Theory of Viscoelasticity

Theory of Viscoelasticity
Author: R. M. Christensen
Publisher: Courier Corporation
Total Pages: 386
Release: 2013-04-26
Genre: Technology & Engineering
ISBN: 0486318966

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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.

Engineering Viscoelasticity

Engineering Viscoelasticity
Author: Danton Gutierrez-Lemini
Publisher: Springer Science & Business Media
Total Pages: 379
Release: 2013-09-12
Genre: Technology & Engineering
ISBN: 1461481392

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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.

Viscoelastic Materials

Viscoelastic Materials
Author: Roderic S. Lakes
Publisher: Cambridge University Press
Total Pages: 481
Release: 2009-04-27
Genre: Science
ISBN: 052188568X

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

Viscoelastic Solids (1998)

Viscoelastic Solids (1998)
Author: Roderic S. Lakes
Publisher: CRC Press
Total Pages: 476
Release: 2017-11-22
Genre: Technology & Engineering
ISBN: 1351355643

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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.

Introduction to Polymer Viscoelasticity

Introduction to Polymer Viscoelasticity
Author: Montgomery T. Shaw
Publisher: John Wiley & Sons
Total Pages: 339
Release: 2005-08-19
Genre: Technology & Engineering
ISBN: 0471741825

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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.

The Theory of Linear Viscoelasticity

The Theory of Linear Viscoelasticity
Author: D. R. Bland
Publisher: Courier Dover Publications
Total Pages: 145
Release: 2016-10-05
Genre: Technology & Engineering
ISBN: 0486816389

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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.

Viscoelasticity and Collective Cell Migration

Viscoelasticity and Collective Cell Migration
Author: Ivana Pajic-Lijakovic
Publisher: Academic Press
Total Pages: 316
Release: 2021-01-13
Genre: Technology & Engineering
ISBN: 0128203110

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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

Viscoelasticity — Basic Theory and Applications to Concrete Structures

Viscoelasticity — Basic Theory and Applications to Concrete Structures
Author: Guillermo J. Creus
Publisher: Springer Science & Business Media
Total Pages: 177
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 3642826865

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This book contains notes for a one-semester graduate course which is an introduction to the study of viscoelasticity and creep of concrete. Emphasis was set on the conceptual aspects rather than on the mathematical or computational refinements. The mathematical structure of viscoelasticity is discussed with some care because it clarifies the basic concepts and has important consequences in computa tional applications. Basic ideas are exemplified using the simplest problems and constitutive models in order to be able to show complete solutions. In the computational applications we have also chosen to present the sim plest situations with the greatest possible detail. It has been the author's experience that once the basic concepts are well understood the students are able to follow the rest of the course more easily and to accede to more advanced literature and applications. Chapters I to III furnish the foundations for the course, that may be expanded in diverse ways. If we are interested in finite elements applications we should look at Chapter IV and then go direct ly to Chapter VII. If we are interested in the simplified analysis of frame structures we should study Chapter VI in detail. Chapter V re views the viscoelastic behavior of concrete and Chapter VIII studies the problem of creep buckling. At the end of each chapter we give se lected references to works that complete and extend the subject matter.

Applications of Viscoelasticity

Applications of Viscoelasticity
Author: Pouria Hajikarimi
Publisher: Elsevier
Total Pages: 245
Release: 2021-04-27
Genre: Technology & Engineering
ISBN: 012821211X

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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