The Theory of Linear Viscoelasticity

Content: 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.