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The Phenomenological Theory of Linear Viscoelastic Behavior

An Introduction

  • Textbook
  • © 1989

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Authors:
  1. Nicholas W. Tschoegl

    1. California Institute of Technology, Pasadena, USA

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XXV
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  2. Introductory Concepts

    • Nicholas W. Tschoegl
    Pages 1-34

  3. Linear Viscoelastic Response

    • Nicholas W. Tschoegl
    Pages 35-68

  4. Representation of Linear Viscoelastic Behavior by Series-Parallel Models

    • Nicholas W. Tschoegl
    Pages 69-156

  5. Representation of Linear Viscoelastic Behavior by Spectral Response Functions

    • Nicholas W. Tschoegl
    Pages 157-243

  6. Representation of Linear Viscoelastic Behavior by Ladder Models

    • Nicholas W. Tschoegl
    Pages 244-313

  7. Representation of Linear Viscoelastic Behavior by Mathematical Models

    • Nicholas W. Tschoegl
    Pages 314-364

  8. Response to Non-Standard Excitations

    • Nicholas W. Tschoegl
    Pages 365-395

  9. Interconversion of the Linear Viscoelastic Functions

    • Nicholas W. Tschoegl
    Pages 396-442

  10. Energy Storage and Dissipation in a Linear Viscoelastic Material

    • Nicholas W. Tschoegl
    Pages 443-488

  11. The Modelling of Multimodal Distributions of Respondance Times

    • Nicholas W. Tschoegl
    Pages 489-507

  12. Linear Viscoelastic Behavior in Different Modes of Deformation

    • Nicholas W. Tschoegl
    Pages 508-548

  13. Back Matter

    Pages 549-769
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Keywords

About this book

One of the principal objects of theoretical research in any department of knowledge is to find the point of view from which the subject appears in its greatest simplicity. J. Willard Gibbs This book is an outgrowth of lectures I have given, on and off over some sixteen years, in graduate courses at the California Institute of Technology, and, in abbreviated form, elsewhere. It is, nevertheless, not meant to be a textbook. I have aimed at a full exposition of the phenomenological theory of linear viscoelastic behavior for the use of the practicing scientist or engineer as well as the academic teacher or student. The book is thus primarily a reference work. In accord with the motto above, I have chosen to describe the theory of linear viscoelastic behavior through the use of the Laplace transformation. The treatment oflinear time-dependent systems in terms of the Laplace transforms of the relations between the excitation add response variables has by now become commonplace in other fields. With some notable exceptions, it has not been widely used in viscoelasticity. I hope that the reader will find this approach useful.

Authors and Affiliations

  • California Institute of Technology, Pasadena, USA

    Nicholas W. Tschoegl

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