Book Cover
Author Bland, D. R. (David Russell), author

Title The theory of linear viscoelasticity / D.R. Bland, University of Manchester
Published Mineola, New York : Dover Publications, Inc., 2016
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Description 1 online resource
Series Dover books on engineering
Dover books on engineering.
Contents Cover; Title page; Copyright; Contents; 1. Models-An Introduction to the Concepts of Viscoelasticity; 1. Force-extension equations of the simple models; 2. Creep and relaxation behaviour; 3. Complex modulus and compliance; 4. Stored and dissipated energies; 5. Creep and relaxation behaviour of some real materials; 2. The Foundations of Three-Dimensional Linear Viscoelasticity; 1. Hypotheses; 2. The mechanics of the microscopic network; 3. Introduction of normal co-ordinates; 4. Separation into deviatoric and dilatational components; 5. A lemma; 6. Creep and relaxation functions
1. The correspondence principle2. Expansion of a reinforced cylinder by internal pressure; 3. Point force on a semi-infinite plane; 4. Moving point force on a semi-infinite plane; 5. Another form of the correspondence principle; 6. Indentation of an incompressible semi-infinite plane by a smooth rigid sphere; 7. Biot's stability problem; 5. Stress Analysis III: Dynamic Problems; 1. The correspondence principle; 2. The propagation of longitudinal waves along semi-infinite rods; 3. Normal impact on the boundary of a spherical cavity in an infinite medium
4. Normal impact on a clamped circular plate6. Model Fitting to Measured Values of Complex Modulus or Compliance; 1. Procedure; 2. First example; 3. Second example; Author Index
7. Sinusoidal oscillations complex modulus and compliance; 8. Operational form of the stress-strain equation; 9. Model representation; 10. Retardation and relaxation spectra; 11. Summary of the results of Chapter 2; 3. Stress Analysis I: Sinusoidal Oscillation Problems; 1. Stress analysis in viscoelasticity; 2. Propagation of sinusoidally oscillating waves in an infinite medium; 3. The correspondence principle for sinusoidal oscillations; 4. The vibrating reed; 5. Free radial vibrations of a solid sphere; 6. Rayleigh waves; 4. Stress Analysis II: Quasi-Static Problems
Summary This concise introduction to the concepts of viscoelasticity focuses on stress analysis. Three detailed individual sections present examples of stress-related problems. In addition, it explains procedures for model fitting to measured values of complex modulus or compliance. The text begins with an introduction to the concepts of viscoelasticity. Succeeding chapters explore the foundations of three-dimensional linear viscoelasticity and stress analysis. Sinusoidal oscillation problems, quasi-static problems, and dynamic problems receive particular attention. The final chapter examines model fitting to measured values of complex modulus or compliance. Numerous examples and figures illuminate the text
Notes "This Dover edition, first published in 2016, is an unabridged republication of the work originally published as Vol. 10 in the "International Series of Monographs on Pure and Applied Mathematics" by Pergamon Press, New York, in 1960"--Title page verso
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Elasticity.
Form Electronic book
ISBN 0486816389 (electronic bk.)
1523106700 (electronic bk.)
9780486816388 (electronic bk.)
9781523106707 (electronic bk.)
Other Titles Linear viscoelasticity