Continuum theory of plasticity

목차 (Table of Contents)

• CONTENS
• Preface = ⅸ
• 1 Introduction = 1
• 1.1 Phenomenological Macroscopic Nature of Metals = 2
• 1.2 Idealizations of Macroscopic Plastic Behavior = 9
• 1.3 Small and Large Deformations = 11
• 1.4 Microscopic Phenomena during Plastic Deformation = 12
• References = 13
• 2 Strain and Stress = 15
• 2.1 Configurations and Displacement = 15
• 2.2 Deformation Gradient and Deformation of Line, Area, and Volume Elements = 20
• 2.3 Measures of Finite Deformations = 24
• 2.4 Decomposition of Deformation Gradient and Principal Stretches = 29
• 2.5 Velocity, Acceleration, and Material Derivatives = 30
• 2.6 Velocity Gradient and the Material Derivatives of the Line, Area, and Volume Elements = 32
• 2.7 Deformation Rate and Spin Tensors = 35
• 2.8 Material Derivatives of the Strain Tensors = 39
• 2.9 Forces, Surface Traction, and Cauchy Stress Tensor = 41
• 2.10 Alternative Stress Measures = 44
• 2.11 Examples = 46
• References = 59
• 3 General Principles = 60
• 3.1 Conservation of Mass = 61
• 3.2 Conservation of Momentum = 64
• 3.3 Conservation of Moment of Momentum = 67
• 3.4 Conservation of Energy: The First Law of Thermodynamics = 69
• 3.5 Clausius-Duhem Inequality: The Second Law of Thermodynamics = 72
• 3.6 Principle of Material Objectivity or Frame Indifference = 76
• References = 81
• 4 Yield Criteria = 82
• 4.1 Stress State and Stress Space = 83
• 4.2 Yield Surface = 92
• 4.3 Yield Criteria for Metals = 94
• 4.4 Yield Criteria for Pressure-Sensitive Materials = 104
• 4.5 Subsequent Yield Surface = 109
• References = 117
• 5 Classical Theory of Plasticity = 119
• 5.1 Basic Considerations of Plasticity Theory = 119
• 5.2 Stress-Strain Relations for Elastic Deformation = 128
• 5.3 Volume Change and Poisson's Ratio for Plastic Deformation = 132
• 5.4 Levy-Mises Equations = 135
• 5.5 Prandtl-Reuss Equations = 138
• 5.6 Plastic Potential Theory and Plastic Work = 142
• 5.7 Drucker's Stability Postulate and Its Consequences = 146
• 5.8 Isotropic Hardening = 156
• 5.9 Kinematic Hardening = 160
• 5.10 General Stress-Strain Relations for Plastic Deformation = 164
• 5.11 Deformation Theory of Plasticity = 177
• References = 179
• 6 Recent Developments in Plasticity = 181
• 6.1 Observations during Cyclic Loading of Metals = 183
• 6.2 Mroz's Multisurface Model = 189
• 6.3 Dafalias and Popov's Two-Surface Model = 203
• 6.4 Nonlinear Kinematic Hardening Model = 214
• 6.5 Endochronic Theory of Plasticity = 222
• References = 237
• 7 Finite Plastic Deformation = 239
• 7.1 Basic Considerations = 239
• 7.2 Kinematics of Finite Plastic Deformation = 245
• 7.3 Hypoelasticity and Simple Shear = 250
• 7.4 Plasticity Theory for Finite Deformation = 254
• 7.5 Plastic Spin = 259
• 7.6 Corotational Integration of Deformation Rate = 261
• 7.7 Endochronic Theory for Finite Deformation = 263
• 7.8 Simple Shear = 269
• References = 276
• 8 Strain Space Formulations for Plastic Deformation = 278
• 8.1 One-Dimensional Loading Case = 281
• 8.2 Plasticity Postulate and Its Implications = 285
• 8.3 Yield Surface in Strain Space = 289
• 8.4 Constitutive Laws in Strain Space = 291
• 8.5 Perfect Plasticity and Loading Criterion in Strain Space = 294
• 8.6 Finite Plasticity in Strain Space = 298
• References = 309
• 9 Introduction to Dislocation Theory = 310
• 9.1 Crystalline Structure of Metals = 311
• 9.2 Theoretical Strength of Single Crystals = 318
• 9.3 Edge and Screw Dislocations = 320
• 9.4 Properties of Dislocations = 326
• References = 341
• 10 Plastic Deformation of Single Crystals = 343
• 10.1 Elementary Considerations = 344
• 10.2 Kinematics of Single-Crystal Deformation = 353
• 10.3 Elastic-Plastic Constitutive Equations for Single Crystals = 360
• 10.4 Hardening Rules for Single Crystals = 365
• 10.5 Rigid Plasticity; Uniaxial Tension = 372
• References = 377
• 11 Polycrystal Plasticity Theory = 379
• 11.1 Determination of Slip Systems = 381
• 11.2 Taylor's Rigid Plastic Model for Polycrystals = 390
• 11.3 Eshelby's Solution for Ellipsoidal Inclusion = 395
• 11.4 Kroner, Budiansky, and Wu's Model = 398
• 11.5 Modification of Kroner, Budiansky, and Wu's Model = 402
• 11.6 Hill's Self-consistent Model = 405
• 11.7 Calculated Results of Self-consistent Models = 408
• References = 415
• Index = 417