Viscoelastic Solids (1998)
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"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 structure of the theory with the aim of developing physical insightillustrates the methods for the solution of stress analysis problems in viscoelastic objectsexplores experimental methods for the characterization of viscoelastic materialsdescribes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materialsanalyzes high damping and extremely low dampingprovides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical propertiescontains examples on the use of viscoelastic materials in preventing and alleviating human sufferingViscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music."--Provided by publisher. Read more... Abstract: "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 structure of the theory with the aim of developing physical insightillustrates the methods for the solution of stress analysis problems in viscoelastic objectsexplores experimental methods for the characterization of viscoelastic materialsdescribes the phenomenology of viscoelasticity in a variety of materials, including polymers, metals, high damping alloys, rock, piezoelectric materials, cellular solids, dense composite materials, and biological materialsanalyzes high damping and extremely low dampingprovides the theory of viscoelastic composite materials, including examples of various types of structure and the relationships between structure and mechanical propertiescontains examples on the use of viscoelastic materials in preventing and alleviating human sufferingViscoelastic Solids also demonstrates the use of viscoelasticity for diverse applications, such as earplugs, gaskets, computer disks, satellite stability, medical diagnosis, injury prevention, vibration abatement, tire performance, sports, spacecraft explosions, and music."--Provided by publisher Content: 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.
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