Applications of Viscoelasticity Book

Applications of Viscoelasticity


  • Author : Pouria Hajikarimi
  • Publisher : Elsevier
  • Release Date : 2021-04-27
  • Genre: Technology & Engineering
  • Pages : 244
  • ISBN 10 : 9780128212110
  • Total Read : 74
  • File Size : 14,8 Mb

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Applications of Viscoelasticity Summary:

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

General Fractional Derivatives with Applications in Viscoelasticity Book

General Fractional Derivatives with Applications in Viscoelasticity


  • Author : Xiao-Jun Yang
  • Publisher : Academic Press
  • Release Date : 2020-04-03
  • Genre: Mathematics
  • Pages : 454
  • ISBN 10 : 9780128172094
  • Total Read : 83
  • File Size : 16,5 Mb

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General Fractional Derivatives with Applications in Viscoelasticity Summary:

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly established fractional-order calculus operators involving singular and non-singular kernels with applications to fractional-order viscoelastic models from the calculus operator viewpoint. Fractional calculus and its applications have gained considerable popularity and importance because of their applicability to many seemingly diverse and widespread fields in science and engineering. Many operations in physics and engineering can be defined accurately by using fractional derivatives to model complex phenomena. Viscoelasticity is chief among them, as the general fractional calculus approach to viscoelasticity has evolved as an empirical method of describing the properties of viscoelastic materials. General Fractional Derivatives with Applications in Viscoelasticity makes a concise presentation of general fractional calculus. Presents a comprehensive overview of the fractional derivatives and their applications in viscoelasticity Provides help in handling the power-law functions Introduces and explores the questions about general fractional derivatives and its applications

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity Book

Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity


  • Author : Richard Allan Schapery
  • Publisher : Unknown
  • Release Date : 1962
  • Genre: Irreversible processes
  • Pages : 348
  • ISBN 10 : CORNELL:31924004125468
  • Total Read : 94
  • File Size : 5,6 Mb

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Irreversible Thermodynamics and Variational Principles with Applications to Viscoelasticity Summary:

A unified theory of the thermo-mechanical behavior of viscoelastic media is developed from studying the thermodynamics of irreversible processes, and includes discussions of the general equations of motion, crack propagation, variational principles, and approximate methods of stress analysis.

Viscoelastic Materials Book

Viscoelastic Materials


  • Author : Roderic Lakes
  • Publisher : Cambridge University Press
  • Release Date : 2009-04-27
  • Genre: Science
  • Pages : 481
  • ISBN 10 : 9780521885683
  • Total Read : 89
  • File Size : 17,8 Mb

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Viscoelastic Materials Summary:

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

Viscoelasticity     Basic Theory and Applications to Concrete Structures Book

Viscoelasticity Basic Theory and Applications to Concrete Structures


  • Author : Guillermo J. Creus
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Technology & Engineering
  • Pages : 169
  • ISBN 10 : 9783642826863
  • Total Read : 88
  • File Size : 13,8 Mb

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Viscoelasticity Basic Theory and Applications to Concrete Structures Summary:

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.

Global Dynamics of the Earth  Applications of Viscoelastic Relaxation Theory to Solid Earth and Planetary Geophysics Book

Global Dynamics of the Earth Applications of Viscoelastic Relaxation Theory to Solid Earth and Planetary Geophysics


  • Author : Roberto Sabadini
  • Publisher : Springer
  • Release Date : 2016-05-27
  • Genre: Science
  • Pages : 358
  • ISBN 10 : 9789401775526
  • Total Read : 63
  • File Size : 11,8 Mb

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Global Dynamics of the Earth Applications of Viscoelastic Relaxation Theory to Solid Earth and Planetary Geophysics Summary:

This volume opens up new perspectives on the physics of the Earth’s interior and planetary bodies for graduate students and researchers working in the fields of geophysics, planetary sciences and geodesy. It looks at our planet in an integrated fashion, linking the physics of its interior to geophysical and geodetic techniques that record, over a broad spectrum of spatial wavelengths and time scales, the ongoing modifications in the shape and gravity field of the planet. Basic issues related to the rheological properties of the Earth and to its slow deformation are considered, in both mathematical and physical terms, within the framework of an analytical relaxation theory. Fundamentals of this theory are developed in the first two Chapters. Chapters 3-9 deal with a wide range of applications, ranging from changes in the Earth’s rotation to post-seismic deformation and from sea-level variations induced by post-glacial rebound to tidal deformation of icy moons of the Solar System. This Second Edition improves substantially our formalism implementing compressibility in viscoelastic relaxation. Chapter 5 now contains new developments in the physics of the gravitational effects of large earthquakes at subduction zones, made possible by new gravity data from space missions. The new Chapter 9 of this Second Edition on deformation and stresses of icy moons enlarges the applications of the book to Planetology, dealing with the additional complications in the theory of viscoelastic relaxation introduced by the shallow low-viscosity zones and inviscid water layers of the moons of Jupiter and Saturn.

Viscoelastic Solids  1998  Book

Viscoelastic Solids 1998


  • Author : Roderic S. Lakes
  • Publisher : CRC Press
  • Release Date : 2017-11-22
  • Genre: Technology & Engineering
  • Pages : 318
  • ISBN 10 : 9781351355643
  • Total Read : 89
  • File Size : 17,8 Mb

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Viscoelastic Solids 1998 Summary:

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.

Polymer Engineering Science and Viscoelasticity Book

Polymer Engineering Science and Viscoelasticity


  • Author : Hal F. Brinson
  • Publisher : Springer
  • Release Date : 2015-01-24
  • Genre: Science
  • Pages : 482
  • ISBN 10 : 9781489974853
  • Total Read : 80
  • File Size : 20,8 Mb

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Polymer Engineering Science and Viscoelasticity Summary:

This book provides a unified mechanics and materials perspective on polymers: both the mathematics of viscoelasticity theory as well as the physical mechanisms behind polymer deformation processes. Introductory material on fundamental mechanics is included to provide a continuous baseline for readers from all disciplines. Introductory material on the chemical and molecular basis of polymers is also included, which is essential to the understanding of the thermomechanical response. This self-contained text covers the viscoelastic characterization of polymers including constitutive modeling, experimental methods, thermal response, and stress and failure analysis. Example problems are provided within the text as well as at the end of each chapter. New to this edition: · One new chapter on the use of nano-material inclusions for structural polymer applications and applications such as fiber-reinforced polymers and adhesively bonded structures · Brings up-to-date polymer production and sales data and equipment and procedures for evaluating polymer characterization and classification · The work serves as a comprehensive reference for advanced seniors seeking graduate level courses, first and second year graduate students, and practicing engineers