http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
Creep and relaxation of nonlinear viscoelastic materials
with an introduction to linear viscoelasticity
1 online resource (xii, 371 pages) : illustrations
Machine derived contents note: Preface -- Chapter 1. Introduction -- 1.1 Elastic Behavior -- 1.2 Plastic Behavior -- 1.3 Viscoelastic Behavior -- 1.4 Creep -- 1.5 Recovery -- 1.6 Relaxation -- I.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 Relations CHAPTER 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 -- CONTENTS ix -- 4.3 Equations of Equilibrium -- 4.4 Equilibrium of Moments -- 4.5 Kinematics -- 4.6 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 States -- 5.11 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 Model -- 5.22 Kelvin Model -- 5.23 Burgers Model -- 5.24 Relation Between the Relaxation Modulus and the Complex RelaxaƯtion Modulus -- 5.25 Relation Between Creep Compliance and Ccmplex Compliance -- 5.26 Complex Compliance for In 5.27 Temperature Effect and Time-Temperature Superposition Principle CHAPTER 6. LINEAR VISCOELASTIC STRESS ANALYSIS 108 -- 6.1 Introduction 108 -- 6.2 Beam Problems 109 -- 6.3 Stress Analysis of Quasi-static Viscoelastic Problems Using the Elastic-Viscoelastic Correspondence Principle 119 -- 6.4 Thick-walled Viscoelastic Tube 122 -- 6.5 Point Force Acting on the Surface of a Semi-infinite Viscoelastic Solid 128 -- 6.6 Conduding Remarks 130 -- x CONTENTS -- Chapter 7. Multiple Integral Representation -- 7.1 Introduction -- 7.2 Nonlinear Viscoelastic Behavior under Uniaxial Loading -- 7.3 Nonlinear Viscoelastic Behavior under Multiaxial Stress State -- 7.4 A Linearly Compressible Material 7.S Incompressible Material Assumption -- 7.6 Linearly Compressible 7.7 Constant Volume 7.8 Incompressible and Linearly Compressible Creep -- 7.9 Incompressible and Linearly Compressible Relaxation.
by William N. Findley, James S. Lai, and Kasif Onaran.
Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty
Includes bibliographical references (pages 344-364).