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Guozheng Kang og Qianhua Kan
(2017)
John Wiley & Sons
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Cyclic Plasticity of Engineering Materials
Experiments and Models
Guozheng Kang og Qianhua Kan
(2017)
Sprog: Engelsk
John Wiley & Sons, Limited
1.473,00 kr.
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Detaljer om varen
- 1. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: John Wiley & Sons (Marts 2017)
- Forfattere: Guozheng Kang og Qianhua Kan
- ISBN: 9781119180814
New contributions to the cyclic plasticity of engineering materials Written by leading experts in the field, this book provides an authoritative and comprehensive introduction to cyclic plasticity of metals, polymers, composites and shape memory alloys. Each chapter is devoted to fundamentals of cyclic plasticity or to one of the major classes of materials, thereby providing a wide coverage of the field. The book deals with experimental observations on metals, composites, polymers and shape memory alloys, and the corresponding cyclic plasticity models for metals, polymers, particle reinforced metal matrix composites and shape memory alloys. Also, the thermo-mechanical coupled cyclic plasticity models are discussed for metals and shape memory alloys. Key features: Provides a comprehensive introduction to cyclic plasticity Presents Macroscopic and microscopic observations on the ratchetting of different materials Establishes cyclic plasticity constitutive models for different materials. Analysis of cyclic plasticity in engineering structures. This book is an important reference for students, practicing engineers and researchers who study cyclic plasticity in the areas of mechanical, civil, nuclear, and aerospace engineering as well as materials science.
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Detaljer om varen
- Hardback: 552 sider
- Udgiver: John Wiley & Sons, Limited (April 2017)
- Forfattere: Guozheng Kang og Qianhua Kan
- ISBN: 9781119180807
New contributions to the cyclic plasticity of engineering materials
Written by leading experts in the field, this book provides an authoritative and comprehensive introduction to cyclic plasticity of metals, polymers, composites and shape memory alloys. Each chapter is devoted to fundamentals of cyclic plasticity or to one of the major classes of materials, thereby providing a wide coverage of the field.
The book deals with experimental observations on metals, composites, polymers and shape memory alloys, and the corresponding cyclic plasticity models for metals, polymers, particle reinforced metal matrix composites and shape memory alloys. Also, the thermo-mechanical coupled cyclic plasticity models are discussed for metals and shape memory alloys.
Key features:
- Provides a comprehensive introduction to cyclic plasticity
- Presents Macroscopic and microscopic observations on the ratchetting of different materials
- Establishes cyclic plasticity constitutive models for different materials.
- Analysis of cyclic plasticity in engineering structures.
This book is an important reference for students, practicing engineers and researchers who study cyclic plasticity in the areas of mechanical, civil, nuclear, and aerospace engineering as well as materials science.
Introduction 1 I.1 Monotonic Elastoplastic Deformation 1 I.2 Cyclic Elastoplastic Deformation 3 I.2.1 Cyclic Softening/Hardening Features 3 I.2.2 Mean Stress Relaxation 6 I.2.3 Ratchetting 7 I.3 Contents of This Book 9 References 10 1 Fundamentals of Inelastic Constitutive Models 13
1.1 Fundamentals of Continuum Mechanics 13
1.1.1 Kinematics 13
1.1.2 Definitions of Stress Tensors 15
1.1.3 FrameIndifference and Objective Rates 16
1.1.4 Thermodynamics 17
1.1.4.1 The First Thermodynamic Principle 17
1.1.4.2 The Second Thermodynamic Principle 17
1.1.5 Constitutive Theory of Solid Continua 18
1.1.5.1 Constitutive Theory of Elastic Solids 18
1.1.5.2 Constitutive Theory of Elastoplastic Solids 19
1.2 Classical Inelastic Constitutive Models 22
1.2.1 J2 Plasticity Model 23
1.2.2 Unified Viscoplasticity Model 24
1.3 Fundamentals of Crystal Plasticity 25
1.3.1 Single Crystal Version 25
1.3.2 Polycrystalline Version 27
1.4 Fundamentals of Mesomechanics for Composite Materials 28
1.4.1 Eshelby''s Inclusion Theory 29
1.4.2 Mori-Tanaka''s Homogenization Approach 30 References 32 2 Cyclic Plasticity of Metals: I. Macroscopic and Microscopic Observations and Analysis of Micro-mechanism 35
2.1 Macroscopic Experimental Observations 35
2.1.1 Cyclic Softening/Hardening Features in More Details 35
2.1.1.1 Uniaxial Cases 35
2.1.1.2 Multiaxial Cases 43
2.1.2 Ratchetting Behaviors 47
2.1.2.1 Uniaxial Cases 48
2.1.2.2 Multiaxial Cases 62
2.1.3 Thermal Ratchetting 75
2.2 Microscopic Observations of Dislocation Patterns and Their Evolutions 77
2.2.1 FCC Metals 80
2.2.1.1 Uniaxial Case 80
2.2.1.2 Multiaxial Case 86
2.2.2 BCC Metals 95
2.2.2.1 Uniaxial Case 95
2.2.2.2 Multiaxial Case 103
2.3 Micromechanism of Ratchetting 111
2.3.1 FCC Metals 111
2.3.1.1 Uniaxial Ratchetting 111
2.3.1.2 Multiaxial Ratchetting 114
2.3.2 BCC Metals 115
2.3.2.1 Uniaxial Ratchetting 115
2.3.2.2 Multiaxial Ratchetting 117
2.4 Summary 118 References 119 3 Cyclic Plasticity of Metals: II. Constitutive Models 123
3.1 Macroscopic Phenomenological Constitutive Models 124
3.1.1 Framework of Cyclic Plasticity Models 124
3.1.1.1 Governing Equations 124
3.1.1.2 Brief Review on Kinematic Hardening Rules 126
3.1.1.3 Combined Kinematic and Isotropic Hardening Rules 131
3.1.2 Viscoplastic Constitutive Model for Ratchetting at Elevated Temperatures 136
3.1.2.1 Nonlinear Kinematic Hardening Rules 136
3.1.2.2 Nonlinear Isotropic Hardening Rule 137
3.1.2.3 Verification and Discussion 138
3.1.3 Constitutive Models for TimeDependent Ratchetting 144
3.1.3.1 Separated Version 146
3.1.3.2 Unified Version 152
3.1.4 Evaluation of Thermal Ratchetting 161
3.2 Physical NatureBased Constitutive Models 163
3.2.1 Crystal PlasticityBased Constitutive Models 163
3.2.1.1 Single Crystal Version 163
3.2.1.2 Application to Polycrystalline Metals 167
3.2.2 DislocationBased Crystal Plasticity Model 175
3.2.2.1 Single Crystal Version 175
3.2.2.2 Verification and Discussion 177
3.2.3 Multimechanism Constitutive Model 183
3.2.3.1 2M1C Model 187
3.2.3.2 2M2C Model 188
3.3 Two Applications of Cyclic Plasticity Models 189
3.3.1 Rolling Contact Fatigue Analysis of Rail Head 189
3.3.1.1 Experimental and Theoretical Evaluation to the Ratchetting of Rail Steels 190
3.3.1.2 Finite Element Simulations 194
3.3.2 Bending Fretting Fatigue Analysis of Axles in Railway Vehicles 197
3.3.2.1 Equivalent TwoDimensional Finite Element Model 199
3.3.2.2 Finite Element Simulation to Bending Fretting Process 201
3.3.2.3 Predictions to Crack Initiation Location and Fretting Fatigue Life 203
3.4 Summary 209 References 211 4 Thermomechanically Coupled Cyclic Plasticity of Metallic Materials at Finite Strain 219
4.1 Cyclic Plasticity Model at Finite Strain 221
4.1.1 Framework of Finite Elastoplastic Constitutive Model 221
4.1.1.1 Equations of Kinematics 221
4.1.1.2 Constitutive Equations 221
4.1.1.3 Kinematic and Isotropic Hardening Rules 222
4.1.1.4 Logarithmic Stress Rate 223
4.1.2 Finite Element Implementation of the Proposed Model 224
4.1.2.1 Discretization Equations of the Proposed Model 224
4.1.2.2 Implicit Stress Integration Algorithm 227
4.1.2.3 Consistent Tangent Modulus 228
4.1.3 Verification of the Proposed Model 230
4.1.3.1 Determination of Material Parameters 230
4.1.3.2 Simulation of Monotonic Simple Shear Deformation 230
4.1.3.3 Simulation of Cyclic FreeEnd Torsion and Tension-Torsion Deformations 231
4.1.3.4 Simulation of Uniaxial Ratchetting at Finite Strain 235
4.2 Thermomechanically Coupled Cyclic Plasticity Model at Finite Strain 239
4.2.1 Framework of Thermodynamics 239
4.2.1.1 Kinematics and Logarithmic Stress Rate 239
4.2.1.2 Thermodynamic Laws 239
4.2.1.3 Generalized Constitutive Equations 241
4.2.1.4 Restrictions on Specific Heat and Stress Response Function 243
4.2.2 Specific Constitutive Model 244
4.2.2.1 Nonlinear Kinematic Hardening Rule 246
4.2.2.2 Nonlinear Isotropic Hardening Rule 247
4.2.3 Simulations and Discussions 249
4.3 Summary 261 References 262 5 Cyclic Viscoelasticity-Viscoplasticity of Polymers 267
5.1 Experimental Observations 268
5.1.1 Cyclic Softening/Hardening Features 268
5.1.1.1 Uniaxial StrainControlled Cyclic Tests 269
5.1.1.2 Multiaxial StrainControlled Cyclic Tests 273
5.1.2 Ratchetting Behaviors 275
5.1.2.1 Uniaxial Ratchetting 275
5.1.2.2 Multiaxial Ratchetting 288
5.2 Cyclic Viscoelastic Constitutive Model 299
5.2.1 Original Schapery''s Model 302
5.2.1.1 Main Equations of Schapery''s Viscoelastic Model 302
5.2.1.2 Determination of Material Parameters 303
5.2.1.3 Simulations and Discussion 303
5.2.2 Extended Schapery''s Model 304
5.2.2.1 Main Modification 304
5.2.2.2 Simulations and Discussion 307
5.3 Cyclic Viscoelastic-Viscoplastic Constitutive Model 310
5.3.1 Main Equations 310
5.3.1.1 Viscoelasticity 313
5.3.1.2 Viscoplasticity 314
5.3.2 Verification and Discussion 315
5.3.2.1 Determination of Material Parameters 315
5.3.2.2 Simulations and Discussion 316
5.4 Summary 327 References 327 6 Cyclic Plasticity of ParticleReinforced Metal Matrix Composites 331
6.1 Experimental Observations 332
6.1.1 Cyclic Softening/Hardening Features 332
6.1.2 Ratchetting Behaviors 335
6.1.2.1 Uniaxial Ratchetting at Room Temperature 335
6.1.2.2 Uniaxial Ratchetting at 573 K 338
6.2 Finite Element Simulations 341
6.2.1 TimeIndependent Cyclic Plasticity 342
6.2.1.1 Main Equations of the TimeIndependent Cyclic Plasticity Model 343
6.2.1.2 Basic Finite Element Model and Simulations 346
6.2.1.3 Effect of Interfacial Bonding 351
6.2.1.4 Results with 3D Multiparticle Finite Element Model 362
6.2.2 TimeDependent Cyclic Plasticity 367
6.2.2.1 Finite Element Model 368
6.2.2.2 Simulations and Discussion 368
6.3 Mesomechanical TimeIndependent Plasticity Model 373
6.3.1 Framework of the Model 373
6.3.1.1 TimeIndependent Cyclic Plasticity Model for the Matrix 374
6.3.1.2 Extension of the Mori-Tanaka Homogenization Approach 374
6.3.2 Numerical Implementation of the Model 376
6.3.2.1 Under the StrainControlled Loading Condition 376
6.3.2.2 Under the StressControlled Loading Condition 378
6.3.2.3 Continuum and Algorithmic Consistent Tangent Operators 379
6.3.3 Verification and Discussion 380
6.3.3.1 Determination of Material Parameters 380
6.3.3.2 Simulations and Discussion 380
6.4 Mesomechanical TimeDependent Plasticity Model 387
6.4.1 Framework of the Model 388
6.4.1.1 TimeDependent Cyclic Plasticity Model for the Matrix 389
6.4.1.2 Mori-Tanaka Homogenization Approach 390
6.4.2 Numerical Implementation of the Model 390
6.4.2.1 Generalized Incrementally Affine Linearization Formulation 390
6.4.2.2 Extension of Mori-Tanaka''s Model 391
6.4.2.3 Algorithmic Consistent Tangent Operator and Its Regularization 393
6.4.2.4 Numerical Integration of the Viscoplasticity Model 394
6.4.3 Verification and Discussion 395
6.4.3.1 Under Monotonic Tension 395
6.4.3.2 Under StrainControlled Cyclic Loading Conditions 395
6.4.3.3 TimeDependent Uniaxial Ratchetting 395
6.5 Summary 398 References 401 7 Thermomechanical Cyclic Deformation of ShapeMemory Alloys 405
7.1 Experimental Observations 407
7.1.1 Degeneration of SuperElasticity and Transformation Ratchetting 407
7.1.1.1 Thermomechanical Cyclic Deformation Under StrainControlled Loading Conditions 407
7.1.1.2 Thermomechanical Cyclic Deformation Under Uniaxial StressControlled Loading Conditions 411
7.1.1.3 Thermomechanical Cyclic Deformation Under Multiaxial StressControlled Loading Conditions 419
7.1.2
1.1 Fundamentals of Continuum Mechanics 13
1.1.1 Kinematics 13
1.1.2 Definitions of Stress Tensors 15
1.1.3 FrameIndifference and Objective Rates 16
1.1.4 Thermodynamics 17
1.1.4.1 The First Thermodynamic Principle 17
1.1.4.2 The Second Thermodynamic Principle 17
1.1.5 Constitutive Theory of Solid Continua 18
1.1.5.1 Constitutive Theory of Elastic Solids 18
1.1.5.2 Constitutive Theory of Elastoplastic Solids 19
1.2 Classical Inelastic Constitutive Models 22
1.2.1 J2 Plasticity Model 23
1.2.2 Unified Viscoplasticity Model 24
1.3 Fundamentals of Crystal Plasticity 25
1.3.1 Single Crystal Version 25
1.3.2 Polycrystalline Version 27
1.4 Fundamentals of Mesomechanics for Composite Materials 28
1.4.1 Eshelby''s Inclusion Theory 29
1.4.2 Mori-Tanaka''s Homogenization Approach 30 References 32 2 Cyclic Plasticity of Metals: I. Macroscopic and Microscopic Observations and Analysis of Micro-mechanism 35
2.1 Macroscopic Experimental Observations 35
2.1.1 Cyclic Softening/Hardening Features in More Details 35
2.1.1.1 Uniaxial Cases 35
2.1.1.2 Multiaxial Cases 43
2.1.2 Ratchetting Behaviors 47
2.1.2.1 Uniaxial Cases 48
2.1.2.2 Multiaxial Cases 62
2.1.3 Thermal Ratchetting 75
2.2 Microscopic Observations of Dislocation Patterns and Their Evolutions 77
2.2.1 FCC Metals 80
2.2.1.1 Uniaxial Case 80
2.2.1.2 Multiaxial Case 86
2.2.2 BCC Metals 95
2.2.2.1 Uniaxial Case 95
2.2.2.2 Multiaxial Case 103
2.3 Micromechanism of Ratchetting 111
2.3.1 FCC Metals 111
2.3.1.1 Uniaxial Ratchetting 111
2.3.1.2 Multiaxial Ratchetting 114
2.3.2 BCC Metals 115
2.3.2.1 Uniaxial Ratchetting 115
2.3.2.2 Multiaxial Ratchetting 117
2.4 Summary 118 References 119 3 Cyclic Plasticity of Metals: II. Constitutive Models 123
3.1 Macroscopic Phenomenological Constitutive Models 124
3.1.1 Framework of Cyclic Plasticity Models 124
3.1.1.1 Governing Equations 124
3.1.1.2 Brief Review on Kinematic Hardening Rules 126
3.1.1.3 Combined Kinematic and Isotropic Hardening Rules 131
3.1.2 Viscoplastic Constitutive Model for Ratchetting at Elevated Temperatures 136
3.1.2.1 Nonlinear Kinematic Hardening Rules 136
3.1.2.2 Nonlinear Isotropic Hardening Rule 137
3.1.2.3 Verification and Discussion 138
3.1.3 Constitutive Models for TimeDependent Ratchetting 144
3.1.3.1 Separated Version 146
3.1.3.2 Unified Version 152
3.1.4 Evaluation of Thermal Ratchetting 161
3.2 Physical NatureBased Constitutive Models 163
3.2.1 Crystal PlasticityBased Constitutive Models 163
3.2.1.1 Single Crystal Version 163
3.2.1.2 Application to Polycrystalline Metals 167
3.2.2 DislocationBased Crystal Plasticity Model 175
3.2.2.1 Single Crystal Version 175
3.2.2.2 Verification and Discussion 177
3.2.3 Multimechanism Constitutive Model 183
3.2.3.1 2M1C Model 187
3.2.3.2 2M2C Model 188
3.3 Two Applications of Cyclic Plasticity Models 189
3.3.1 Rolling Contact Fatigue Analysis of Rail Head 189
3.3.1.1 Experimental and Theoretical Evaluation to the Ratchetting of Rail Steels 190
3.3.1.2 Finite Element Simulations 194
3.3.2 Bending Fretting Fatigue Analysis of Axles in Railway Vehicles 197
3.3.2.1 Equivalent TwoDimensional Finite Element Model 199
3.3.2.2 Finite Element Simulation to Bending Fretting Process 201
3.3.2.3 Predictions to Crack Initiation Location and Fretting Fatigue Life 203
3.4 Summary 209 References 211 4 Thermomechanically Coupled Cyclic Plasticity of Metallic Materials at Finite Strain 219
4.1 Cyclic Plasticity Model at Finite Strain 221
4.1.1 Framework of Finite Elastoplastic Constitutive Model 221
4.1.1.1 Equations of Kinematics 221
4.1.1.2 Constitutive Equations 221
4.1.1.3 Kinematic and Isotropic Hardening Rules 222
4.1.1.4 Logarithmic Stress Rate 223
4.1.2 Finite Element Implementation of the Proposed Model 224
4.1.2.1 Discretization Equations of the Proposed Model 224
4.1.2.2 Implicit Stress Integration Algorithm 227
4.1.2.3 Consistent Tangent Modulus 228
4.1.3 Verification of the Proposed Model 230
4.1.3.1 Determination of Material Parameters 230
4.1.3.2 Simulation of Monotonic Simple Shear Deformation 230
4.1.3.3 Simulation of Cyclic FreeEnd Torsion and Tension-Torsion Deformations 231
4.1.3.4 Simulation of Uniaxial Ratchetting at Finite Strain 235
4.2 Thermomechanically Coupled Cyclic Plasticity Model at Finite Strain 239
4.2.1 Framework of Thermodynamics 239
4.2.1.1 Kinematics and Logarithmic Stress Rate 239
4.2.1.2 Thermodynamic Laws 239
4.2.1.3 Generalized Constitutive Equations 241
4.2.1.4 Restrictions on Specific Heat and Stress Response Function 243
4.2.2 Specific Constitutive Model 244
4.2.2.1 Nonlinear Kinematic Hardening Rule 246
4.2.2.2 Nonlinear Isotropic Hardening Rule 247
4.2.3 Simulations and Discussions 249
4.3 Summary 261 References 262 5 Cyclic Viscoelasticity-Viscoplasticity of Polymers 267
5.1 Experimental Observations 268
5.1.1 Cyclic Softening/Hardening Features 268
5.1.1.1 Uniaxial StrainControlled Cyclic Tests 269
5.1.1.2 Multiaxial StrainControlled Cyclic Tests 273
5.1.2 Ratchetting Behaviors 275
5.1.2.1 Uniaxial Ratchetting 275
5.1.2.2 Multiaxial Ratchetting 288
5.2 Cyclic Viscoelastic Constitutive Model 299
5.2.1 Original Schapery''s Model 302
5.2.1.1 Main Equations of Schapery''s Viscoelastic Model 302
5.2.1.2 Determination of Material Parameters 303
5.2.1.3 Simulations and Discussion 303
5.2.2 Extended Schapery''s Model 304
5.2.2.1 Main Modification 304
5.2.2.2 Simulations and Discussion 307
5.3 Cyclic Viscoelastic-Viscoplastic Constitutive Model 310
5.3.1 Main Equations 310
5.3.1.1 Viscoelasticity 313
5.3.1.2 Viscoplasticity 314
5.3.2 Verification and Discussion 315
5.3.2.1 Determination of Material Parameters 315
5.3.2.2 Simulations and Discussion 316
5.4 Summary 327 References 327 6 Cyclic Plasticity of ParticleReinforced Metal Matrix Composites 331
6.1 Experimental Observations 332
6.1.1 Cyclic Softening/Hardening Features 332
6.1.2 Ratchetting Behaviors 335
6.1.2.1 Uniaxial Ratchetting at Room Temperature 335
6.1.2.2 Uniaxial Ratchetting at 573 K 338
6.2 Finite Element Simulations 341
6.2.1 TimeIndependent Cyclic Plasticity 342
6.2.1.1 Main Equations of the TimeIndependent Cyclic Plasticity Model 343
6.2.1.2 Basic Finite Element Model and Simulations 346
6.2.1.3 Effect of Interfacial Bonding 351
6.2.1.4 Results with 3D Multiparticle Finite Element Model 362
6.2.2 TimeDependent Cyclic Plasticity 367
6.2.2.1 Finite Element Model 368
6.2.2.2 Simulations and Discussion 368
6.3 Mesomechanical TimeIndependent Plasticity Model 373
6.3.1 Framework of the Model 373
6.3.1.1 TimeIndependent Cyclic Plasticity Model for the Matrix 374
6.3.1.2 Extension of the Mori-Tanaka Homogenization Approach 374
6.3.2 Numerical Implementation of the Model 376
6.3.2.1 Under the StrainControlled Loading Condition 376
6.3.2.2 Under the StressControlled Loading Condition 378
6.3.2.3 Continuum and Algorithmic Consistent Tangent Operators 379
6.3.3 Verification and Discussion 380
6.3.3.1 Determination of Material Parameters 380
6.3.3.2 Simulations and Discussion 380
6.4 Mesomechanical TimeDependent Plasticity Model 387
6.4.1 Framework of the Model 388
6.4.1.1 TimeDependent Cyclic Plasticity Model for the Matrix 389
6.4.1.2 Mori-Tanaka Homogenization Approach 390
6.4.2 Numerical Implementation of the Model 390
6.4.2.1 Generalized Incrementally Affine Linearization Formulation 390
6.4.2.2 Extension of Mori-Tanaka''s Model 391
6.4.2.3 Algorithmic Consistent Tangent Operator and Its Regularization 393
6.4.2.4 Numerical Integration of the Viscoplasticity Model 394
6.4.3 Verification and Discussion 395
6.4.3.1 Under Monotonic Tension 395
6.4.3.2 Under StrainControlled Cyclic Loading Conditions 395
6.4.3.3 TimeDependent Uniaxial Ratchetting 395
6.5 Summary 398 References 401 7 Thermomechanical Cyclic Deformation of ShapeMemory Alloys 405
7.1 Experimental Observations 407
7.1.1 Degeneration of SuperElasticity and Transformation Ratchetting 407
7.1.1.1 Thermomechanical Cyclic Deformation Under StrainControlled Loading Conditions 407
7.1.1.2 Thermomechanical Cyclic Deformation Under Uniaxial StressControlled Loading Conditions 411
7.1.1.3 Thermomechanical Cyclic Deformation Under Multiaxial StressControlled Loading Conditions 419
7.1.2
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