Viscoelastic solids
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Book Outline   CRC Press, 1998.     Book review.   Viscoelastic Materials book 2009

1 Introduction: Phenomenaviscoelasticity book cover
1.1 Viscoelastic phenomena
1.2 Transient properties: creep and relaxation
1.3 Solids and liquids; anelastic materials
1.4 Dynamic response to sinusoidal load
1.5 Demonstration of viscoelastic behavior
1.6 Other works on viscoelasticity
1.7 Historical aspects
1.8 Summary

2 Constitutive relations
2.1 Introduction
2.2 Prediction of the response of linearly viscoelastic materials
2.3 Restrictions on the viscoelastic functions; fading memory
2.4 Relation between creep and relaxation
2.5 Stress vs strain for constant strain rate
2.6 Particular creep and relaxation functions
2.7 Effect of temperature
2.8 Three dimensional linear constitutive equation
2.9 Aging materials
2.10 Dielectric and other relaxation
2.11 Adaptive and 'smart' materials
2.12 Effect of nonlinearity
2.13 Summary

3 Dynamic behavior of linear solids
3.1 Introduction and rationale; internal friction
3.2 The dynamic response functions
3.3 Kramers Kronig relations
3.4 Energy storage and dissipation; hysteresis
3.5 Resonance of structural members
3.6 Decay of resonant vibration
3.7 Wave propagation and attenuation
3.8 Measures of damping
3.9 Nonlinear materials
3.10 Summary

4 Conceptual structure of linear viscoelasticity
4.1 Introduction
4.2 Spectra in linear viscoelasticity
4.3 Approximate interrelations
4.4 Conceptual organization
4.5 Summary

5 Viscoelastic stress and deformation analysis
5.1 Introduction
5.2 Three dimensional constitutive equation
5.3 Pure bending by direct construction
5.4 Correspondence principle
5.5 Pure bending reconsidered
5.6 Further examples with the correspondence principle
5.7 Dynamic problems
5.8 Non-correspondence problems
5.9 Bending in nonlinear viscoelasticity
5.10 Dynamic response of nonlinear materials
5.11 Summary

6 Experimental methods
6.1 General requirements
6.2 Creep
6.3 Displacement and strain measurement
6.4 Force measurement
6.5 Load application
6.6 Environmental control
6.7 Subresonant methods
6.8 Resonance methods
6.9 The problem of achieving a wide range of time or frequency
6.10 Test instruments for viscoelasticity
6.11 Wave methods
6.12 Summary
7 Viscoelastic properties of materialsRRC logo
7.1 Introduction
7.2 Overview: some common materials
7.3 Polymers
7.4 Metals
7.5 Rock
7.6 Concrete
7.7 Ice
7.8 Piezoelectric materials
7.9 Biological materials
7.10 Ionic crystals
7.11 Porous materials
7.12 Composite materials
7.13 Inorganic amorphous materials
7.14 Common aspects
7.15 Summary

8 Causal mechanisms
8.1 Introduction
8.2 Survey of viscoelastic mechanisms
8.3 Thermoelastic relaxation
8.4 Relaxation by fluid motion
8.5 Relaxation in magnetic media
8.6 Relaxation by molecular rearrangement
8.7 Relaxation by interface motion
8.8 Other relaxation processes in crystalline materials
8.9 Deformation mechanism maps
8.10 Relaxation in piezoelectric materials
8.11 Non-exponential relaxation
8.12 Damping mechanisms in high-loss alloys
8.13 Creep mechanisms in creep resistant alloys
8.14 Relaxation at very long times
8.15 Summary

9 Viscoelastic composite materials
9.1 Introduction
9.2 Composite structures
9.3 Elastic and viscoelastic properties
9.4 Bounds on viscoelastic properties
9.5 Biological composite materials
9.6 Poisson's ratio of viscoelastic composites
9.7 Practical composite materials
9.8 Dispersion in composites
9.9 Summary

10 Applications and case studies
10.1 Introduction
10.2 A viscoelastic earplug
10.3 Creep and relaxation of materials and structures
10.4 Creep damage and creep rupture
10.5 Seals and gaskets
10.6 Vibration control
10.7 Rolling friction
10.8 Uses of low loss materials
10.9 Impact absorption
10.10 Rebound of a ball
10.11 Winding of tape
10.12 Viscoelastic gels in surgery
10.13 Food products
10.14 Hand strength exerciser
10.15 Viscoelastic toys
10.16 Tissue viscoelasticity in medical diagnosis
10.17 No-slip flooring and shoe soles
10.18 Applications involving thermo-viscoelasticity
10.19 Satellite dynamics
10.20 Structural damping
10.21 Viscoelasticity in scientific investigations
10.22 Relaxation in musical instruments
10.23 Ultrasonic testing
10.24 Summary

Appendices
A1 Functionals and distributions
A2 Transforms
A3 Laplace transforms
A4 Convolutions
A5 Concepts for dynamic aspects
A6 Phase determination methods
A7 Interrelations in elasticity theory
Symbols
Errata

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