Theory of Viscoelasticity: Second Edition

Content: Cover
 Title Page
 Copyright Page
 Contents
 Preface to Second Edition
 Preface to First Edition
 I. Viscoelastic Stress Strain Constitutive Relations
 1.1. Introduction
 1.2. Integral Form of Stress Strain Constitutive Relations, Stieltjes Convolution Notation
 1.3. Consequences of Fading Memory and the Distinction between Viscoelastic Solids and Fluids
 1.4. Differential Operator Form of Stress Strain Constitutive Relations
 1.5. Relaxation and Creep Characteristics, Mechanical Models
 1.6. Steady State and Fourier Transformed Stress Strain Constitutive Relations. 1.7. Accelerated and Retarded Processes1.8. Alternative Mechanical Property Functions
 1.9. Spectra Problems References
 II. Isothermal Boundary Value Problems
 2.1. Formulation of the Boundary Value Problem
 2.2. Uniqueness of Solution
 2.3. Separation of Variables Conditions
 2.4. Steady State Harmonic Conditions
 2.5. Integral Transform Methods
 2.6. Effect of Inertia Terms
 2.7. Steady State Harmonic Oscillation Example
 2.8. Quasi-Static Response Example
 2.9. Pressurization of a Cylinder
 2.10. Pressurization of a Spherical Cavity
 2.11. Free Vibration. 2.12. Limitations of Integral Transform Methods2.13. Summary and Conclusions
 Problems
 References
 III. Thermoviscoelasticity
 3.1. Thermodynamical Derivation of Constitutive Relations
 3.2. Restrictions and Special Cases
 3.3. Relationship to Nonnegative Work Requirements
 3.4. Formulation of the Thermoviscoelastic Boundary Value Problem
 3.5. Temperature Dependence of Mechanical Properties
 3.6. Thermorheologically Simple Materials
 3.7. Glass Transition Criterion
 3.8. Heat Conduction
 Problems
 References
 IV. Mechanical Properties and Approximate Transform Inversion
 4.1. Introduction. 4.2. Relaxation and Creep Procedures4.3. Steady State Harmonic Oscillation Procedures
 4.4. Wave Propagation Procedures
 4.5. Temperature Dependent Effects
 4.6. Approximate Interrelationships among Properties
 4.7. Approximate Inversion of the Laplace Transform
 4.8. Approximate Solutions for Dynamic Problems
 Problems
 References
 V. Problems of a Nontransform Type
 5.1. Contact Problem
 5.2. Extended Correspondence Principle
 5.3. Crack Growth-Local Failure Model
 5.4. Crack Growth-Energy Balance Approach
 5.5. Thermoviscoelastic Stress Analysis Problem
 Problems
 References. VI. Wave Propagation6.1. Isothermal Wave Propagation
 6.2. Dynamic Response Problems
 6.3. Harmonic Thermoviscoelastic Waves in Unlimited Media
 6.4. Reflection of Harmonic Waves
 6.5. Moving Loads on a Viscoelastic Half Space
 6.6. Viscoelastic Rayleigh Waves
 VII. General Theorems and Formulations
 7.1. Uniqueness of Solution of Coupled Thermoviscoelastic Boundary Value Problem
 7.2. Representation in Terms of Displacement Functions
 7.3. Reciprocal Theorem
 7.4. Variational Theorems
 7.5. Minimum Theorems
 7.6. Optimal Strain History
 VIII. Nonlinear Viscoelasticity.