Viscoelastic solids
Viscoelasticity main Viscoelastic Materials book 2009 Demonstrations
Tutorial Class Biomechanics Ultrasonics
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Book Outline CRC Press, 1998. Book review. Viscoelastic Materials book 2009
1 Introduction: Phenomena
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 materials 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
Viscoelasticity main
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