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Creep and relaxation of nonlinear viscoelastic materials, with an introduction to linear viscoelasticity /
Creep And Relaxation Of Nonlinear Viscoelastic Materials With An Introduction To Linear Viscoelasticity.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam ; New York :
North-Holland Pub. Co. : Sole distributors for the U.S.A. and Canada, Elsevier/North Holland,
1976.
|
| Colección: | North-Holland series in applied mathematics and mechanics ;
v. 18. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Creep and Relaxation of Nonlinear Viscoelastic Materials with an Introduction to Linear Viscoelasticity; Copyright Page; PREFACE; Table of Contents; CHAPTER 1. INTRODUCTION; 1.1 Elastic Behavior; 1.2 Plastic Behavior; 1.3 Viscoelastic Behavior; 1.4 Creep; 1.5 Recovery; 1.6 Relaxation; 1.7 Linearity; CHAPTER 2. HISTORICAL SURVEY OF CREEP; 2.1 Creep of Metals; 2.2 Creep under Uniaxial Stress; 2.3 Creep under Combined Stresses; 2.4 Creep under Variable Stress; 2.5 Creep of Plastics; 2.6 Mathematical Representation of Creep of Materials; 2.7 Differential Form; 2.8 Integral Form.
- 2.9 Development of Nonlinear Constitutive RelationsCHAPTER 3. STATE OF STRESS AND STRAIN; 3.1 State of Stress; 3.2 Stress Tensor; 3.3 Unit Tensor; 3.4 Principal Stresses; 3.5 Mean Normal Stress Tensor and Deviatoric Stress Tensor; 3.6 Invariants of Stress; 3.7 Traces of Tensors and Products of Tensors; 3.8 Invariants in Terms of Traces; 3.9 Hamilton-Cayley Equation; 3.10 State of Strain; 3.11 Strain-Displacement Relation; 3.12 Strain Tensor; CHAPTER 4. MECHANICS OF STRESS AND DEFORMATION ANALYSES; 4.1 Introduction; 4.2 Law of Motion; 4.3 Equations of Equilibrium; 4.4 Equilibrium of Moments.
- 4.5 Kinematics4.6 Compatibility Equations; 4.7 Constitutive Equations; 4.8 Linear Elastic Solid; 4.9 Boundary Conditions; 4.10 The Stress Analysis Problem in a Linear Isotropic Elastic Solid; CHAPTER 5. LINEAR VISCOELASTIC CONSTITUTIVE EQUATIONS; 5.1 Introduction; 5.2 Viscoelastic Models; 5.3 The Basic Elements: Spring and Dashpot; 5.4 Maxwell Model; 5.5 Kelvin Model; 5.6 Burgers or Four-element Model; 5.7 Generalized Maxwell and Kelvin Models; 5.8 Retardation Spectrum for tn; 5.9 Differential Form of Constitutive Equations for Simple Stress States.
- 5.10 Differential Form of Constitutive Equations for Multiaxial Stress States5.11 Integral Representation of Viscoelastic Constitutive Equations; 5.12 Creep Compliance; 5.13 Relaxation Modulus; 5.14 Boltzmann's Superposition Principle and Integral Representation; 5.15 Relation Between Creep Compliance and Relaxation Modulus; 5.16 Generalization of the Integral Representation to Three Dimensions; 5.17 Behavior of Linear Viscoelastic Material under Oscillating Loading; 5.18 Complex Modulus and Compliance; 5.19 Dissipation; 5.20 Complex Compliance and Complex Modulus of Some Viscoelastic Models.
- 5.21 Maxwell Model5.22 Kelvin Model; 5.23 Burgers Model; 5.24 Relation Between the Relaxation Modulus and the Complex Relaxation Modulus; 5.25 Relation Between Creep Compliance and Complex Compliance; 5.26 Complex Compliance for tn; 5.27 Temperature Effect and Time-Temperature Superposition Principle; CHAPTER 6. LINEAR VISCOELASTIC STRESS ANALYSIS; 6.1 Introduction; 6.2 Beam Problems; 6.3 Stress Analysis of Quasi-static Viscoelastic Problems Using the Elastic-Viscoelastic Correspondence Principle; 6.4 Thick-walled Viscoelastic Tube*