Viscoelastic Solids (1998)
"Viscoelastic Solids covers the mathematical theory of viscoelasticity and physical insights, causal mechanisms, and practical applications. The book:presents a development of the theory, addressing both transient and dynamic aspects as well as emphasizing linear viscoelasticitysynthesizes the...
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Format: | eBook |
Language: | English |
Published: |
Boca Raton, FL :
CRC Press,
2017.
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Edition: | First edition. |
Series: | CRC Press Revivals.
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Table of Contents:
- Cover; Half Title; Title Page; Copyright Page; Contents; Chapter 1 Introduction: phenomena; Â1.1 Viscoelastic phenomena; Â1.2 Motivations for studying viscoelasticity; Â1.3 Transient properties: creep and relaxation; Â1.4 Dynamic response to sinusoidal load; Â1.5 Demonstration of viscoelastic behavior; Â1.6 Other works on viscoelasticity; Â1.7 Historical aspects; Â1.8 Summary; Chapter 2 Constitutive relations; Â2.1 Introduction; Â2.2 Prediction of the response of linearly viscoelastic materials; Â2.3 Restrictions on the viscoelastic functions; fading memory.
- Â2.4 Relation between creep and relaxationÂ2.5 Stress vs. strain for constant strain rate; Â2.6 Particular creep and relaxation functions; Â2.7 Effect of temperature; Â2.8 Three-dimensional linear constitutive equation; Â2.9 Aging materials; Â2.10 Dielectric and other forms of relaxation; Â2.11 Adaptive and ""smart"" materials; Â2.12 Effect of nonlinearity; Â2.13 Summary; Chapter 3 Dynamic behavior; Â3.1 Introduction and rationale; Â3.2 The linear dynamic response functions; Â3.3 Kramers-Kronig relations; Â3.4 Energy storage and dissipation; Â3.5 Resonance of structural members.
- Â3.6 Decay of resonant vibrationÂ3.7 Wave propagation and attenuation; Â3.8 Measures of damping; Â3.9 Nonlinear materials; Â3.10 Summary; Chapter 4 Conceptual structure of linear viscoelasticity; Â4.1 Introduction; Â4.2 Spectra in linear viscoelasticity; Â4.3 Approximate interrelations among viscoelastic functions; Â4.4 Conceptual organization of viscoelastic functions; Â4.5 Summary; Chapter 5 Viscoelastic stress and deformation analysis; Â5.1 Introduction; Â5.2 Three-dimensional constitutive equation; Â5.3 Pure bending by direct construction; Â5.4 Correspondence principle.
- Â5.5 Pure bending reconsideredÂ5.6 Further examples with the correspondence principle; Â5.7 Dynamic problems; Â5.8 Noncorrespondence problems; Â5.9 Bending in nonlinear viscoelasticity; Â5.10 Dynamic response of nonlinear materials; Â5.11 Summary; Chapter 6 Experimental methods; Â6.1 Introduction: general requirements; Â6.2 Creep; Â6.3 Displacement and strain measurement; Â6.4 Force measurement; Â6.5 Load application; Â6.6 Environmental control; Â6.7 Subresonant dynamic methods; Â6.8 Resonance methods; Â6.9 The problem of achieving a wide range of time or frequency.
- Â6.10 Test instruments for viscoelasticityÂ6.11 Wave methods; Â6.12 Summary; Chapter 7 Viscoelastic properties of materials; Â7.1 Introduction; Â7.2 Overview: some common materials; Â7.3 Polymers; Â7.4 Metals; Â7.5 Rock and ceramics; Â7.6 Concrete; Â7.7 Asphalt; Â7.8 Ice; Â7.9 Piezoelectric materials; Â7.10 Biological materials; Â7.11 Porous materials; Â7.12 Composite materials; Â7.13 Inorganic amorphous materials; Â7.14 Common aspects; Â7.15 Summary; Chapter 8 Causal mechanisms; Â8.1 Introduction; Â8.2 Survey of viscoelastic mechanisms; Â8.3 Thermoelastic relaxation.