The theory of linear viscoelasticity

• Main Author: Bland, D. R. (Author)
• Format: Electronic eBook
• Language: English
• Published: Mineola, New York : Dover Publications, Inc., 2016.
• Series: Dover books on engineering
• Subjects: Elasticity.; Viscosity.; elektronické knihy; electronic books
• ISBN: 9781523106707; 1523106700; 9780486816388; 0486816389; 9780486462691; 0486462692
• Physical Description: 1 online resource

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...

Table of 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.
• 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.
• 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.