Author | Pipkin, Allen C. author |
---|---|
Title | Lectures on Viscoelasticity Theory [electronic resource] / by Allen C. Pipkin |
Imprint | New York, NY : Springer US, 1972 |
Connect to | http://dx.doi.org/10.1007/978-1-4615-9970-8 |
Descript | online resource |
I. Viscoelastic Response in Shear -- 1. Stress Relaxation -- 2. Creep -- 3. Response Functions -- 4. Models -- 5. Superposition -- 6. Tensile Response -- 7. Relation between Modulus and Compliance -- 8. Sinusoidal Shearing -- 9. Nomenclature -- 10. Energy Storage and Loss -- 11. Oscillation with Increasing Amplitude -- II. Fourier and Laplace Transforms -- 1. Fourier Transforms -- 2. Two-sided Laplace Transforms -- 3. Laplace Transforms -- 4. Elementary Formulas -- 5. Convolutions -- III. Relations Between Modulus and Compliance. -- 1. Limits and Moments: Fluids -- 2. Limits and Moments: Solids -- 3. Solids and Fluids -- 4. Scale-Invariant Response -- 5. Approximate Transform Inversion -- 6. Direct Approximation -- 7. Approximate Relation between Modulus and Complex Modulus -- 8. Graphs of Moduli and Compliances -- IV. Some One-Dimensional Dynamical Problems -- 1. Torsional Oscillations -- 2. Plane Shear Waves -- V. Stress Analysis -- 1. Quasi-static Approximation -- 2. Stress-strain Relations -- 3. Simplest Deformations of Isotropic Materials -- 4. Simple Tension: Basic Approximation Methods -- 5. The Correspondence Principle -- 6. Example: Flat-headed Punch -- 7. Example: Tube under Internal Pressure -- 8. Incompressible Materials -- VI. Thermal Effects -- 1. The Time-Temperature Shift Factor -- 2. Example: Runaway -- 3. Variable-Temperature Histories -- 4. Example: Simple Tension of a Cooling Hod -- 5. Thermal Expansion -- VII. Large Deformations with Small Strains -- 1. Example: Simple Rotation -- 2. Example: Torsion -- 3. Small Distortions with Large Rotations -- 4. Relative Strain -- 5. Isotropic Materials -- 6. Fluids -- 7. Example: Steady Simple Shearing -- 8. Example: Oscillatory Shearing -- 9. Motions with Uniform Velocity Gradient -- 10. Anisotropic Fluids -- VIII. Slow Viscoelastic Flow -- 1. Viscoelastic Flow -- 2. Flow Diagnosis -- 3. Slow Viscoelastic Flow: Asymptotic Approximations -- 4. Slow Viscoelastic Flow: Three-dimensional Equations -- 5. Orders of Approximation in Slow Motion -- 6. The Rivlin-Ericksen Tensors -- 7. Solution of Problems -- 8. Ordinary Perturbations -- 9. A Useful Identity -- 10. Plane Flow -- 11. Flow in Tubes -- IX. Viscometric Flow -- 1. Stress -- 2. Example: Channel Flow -- 3. Slip Surfaces, Shear Axes, and Shear Rate -- 4. Dynamical Problems -- 5. Flow In Tubes -- 6. Viscometric Equation in Terms of Rivlin-Ericksen Tensors -- 7. Centripetal Effects -- 8. Boundary Layers