The Phenomenological Theory of Linear Viscoelastic Behavior
Subtitle: an Introduction
By: by Nicholas W. Tschoegl
Publisher: Springer Berlin Heidelberg
Published: 1989
Place of publication: Berlin, Heidelberg
Language: eng
Format: [electronic resource] :
Number of pages: 769
ISBN-13: 9783642736049; 9783642736025
Subjects: Physical organic chemistry; Polymers; Chemistry; Chemical engineering; Applied Mechanics
Description: This book is a textbook, providing 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. Although the theory was developed for polymeric materials, it is also applicable to other materials such as metals and ceramics. The theory of linear viscoelastic behavior is described through the use of the Laplace transformation. The treatment of linear time-dependent systems in terms of the Laplace transforms of the excitation and response variables has by now become commonplace in other fields. Elementary calculus and the rudiments of complex variable theory is the basic mathematical apparatus required for a profitable use of this book. The elements of transformation calculus are summarized in an Appendix.
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Table of contents: title: Introductory Concepts; title: Linear Viscoelastic Response; title: Representation of Linear Viscoelastic Behavior by Series-Parallel Models; title: Representation of Linear Viscoelastic Behavior by Spectral Response Functions; title: Representation of Linear Viscoelastic Behavior by Ladder Models; title: Representation of Linear Viscoelastic Behavior by Mathematical Models; title: Response to Non-Standard Excitations; title: Interconversion of the Linear Viscoelastic Functions; title: Energy Storage and Dissipation in a Linear Viscoelastic Material; title: The Modelling of Multimodal Distributions of Respondance Times; title: Linear Viscoelastic Behavior in Different Modes of Deformation; title: Appendix: Transformation Calculus; title: Solutions to Problems; title: Epilogue; title: Notes on Quotation; title: List of Symbols; title: Author Index; title: Subject Index.