Cover image for Basic engineering plasticity : an introduction with engineering and manufacturing applications
Title:
Basic engineering plasticity : an introduction with engineering and manufacturing applications
Publication Information:
Boston, MA : Elsevier, 2006
ISBN:
9780750680257

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30000010144434 TA418.14 R43 2006 Open Access Book Book
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30000010169762 TA418.14 R43 2006 Open Access Book Book
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Summary

Summary

Plasticity is concerned with understanding the behavior of metals and alloys when loaded beyond the elastic limit, whether as a result of being shaped or as they are employed for load bearing structures. Basic Engineering Plasticity delivers a comprehensive and accessible introduction to the theories of plasticity. It draws upon numerical techniques and theoretical developments to support detailed examples of the application of plasticity theory. This blend of topics and supporting textbook features ensure that this introduction to the science of plasticity will be valuable for a wide range of mechanical and manufacturing engineering students and professionals.


Author Notes

D.W.A. Rees D.Sc. is a Senior Lecturer in Engineering and Design at Brunel University, UK


Table of Contents

Prefacep. xi
Acknowledgementsp. xii
List of Symbolsp. xiii
Chapter 1 Stress Analysis
1.1 Introductionp. 1
1.2 Cauchy Definition of Stressp. 4
1.3 Three Dimensional Stress Analysisp. 7
1.4 Principal Stresses and Invariantsp. 15
1.5 Principal Stresses as Co-ordinatesp. 21
1.6 Alternative Stress Definitionsp. 27
Bibliographyp. 31
Exercisesp. 31
Chapter 2 Strain Analysis
2.1 Introductionp. 33
2.2 Infinitesimal Strain Tensorp. 33
2.3 Large Strain Definitionsp. 40
2.4 Finite Strain Tensorsp. 47
2.5 Polar Decompositionp. 58
2.6 Strain Definitionsp. 62
Referencesp. 62
Exercisesp. 63
Chapter 3 Yield Criteria
3.1 Introductionp. 65
3.2 Yielding of Ductile Isotropic Materialsp. 65
3.3 Experimental Verificationp. 71
3.4 Anisotropic Yielding in Polycrystalsp. 83
3.5 Choice of Yield Functionp. 90
Referencesp. 91
Exercisesp. 93
Chapter 4 Non-Hardening Plasticity
4.1 Introductionp. 95
4.2 Classical Theories of Plasticityp. 95
4.3 Application of Classical Theory to Uniform Stress Statesp. 98
4.4 Application of Classical Theory to Non-Uniform Stress Statesp. 111
4.5 Hencky versus Prandtl-Reussp. 123
Referencesp. 124
Exercisesp. 124
Chapter 5 Elastic-Perfect Plasticity
5.1 Introductionp. 127
5.2 Elastic-Plastic Bending of Beamsp. 127
5.3 Elastic-Plastic Torsionp. 137
5.4 Thick-Walled, Pressurised Cylinder with Closed-Endsp. 144
5.5 Open-Ended Cylinder and Thin Disc Under Pressurep. 149
5.6 Rotating Discp. 154
Referencesp. 159
Exercisesp. 159
Chapter 6 Slip Line Fields
6.1 Introductionp. 161
6.2 Slip Line Field Theoryp. 161
6.3 Frictionless Extrusion Through Parallel Diesp. 180
6.4 Frictionless Extrusion Through Inclined Diesp. 191
6.5 Extrusion With Friction Through Parallel Diesp. 195
6.6 Notched Bar in Tensionp. 197
6.7 Die Indentationp. 199
6.8 Rough Die Indentationp. 204
6.9 Lubricated Die Indentationp. 207
Referencesp. 210
Exercisesp. 211
Chapter 7 Limit Analysis
7.1 Introductionp. 213
7.2 Collapse of Beamsp. 213
7.3 Collapse of Structuresp. 215
7.4 Die Indentationp. 221
7.5 Extrusionp. 225
7.6 Strip Rollingp. 230
7.7 Transverse Loading of Circular Platesp. 234
7.8 Concluding Remarksp. 238
Referencesp. 239
Exercisesp. 239
Chapter 8 Crystal Plasticity
8.1 Introductionp. 241
8.2 Resolved Shear Stress and Strainp. 242
8.3 Lattice Slip Systemsp. 246
8.4 Hardeningp. 248
8.5 Yield Surfacep. 250
8.6 Flow Rulep. 255
8.7 Micro- to Macro-Plasticityp. 257
8.8 Subsequent Yield Surfacep. 262
8.9 Summaryp. 266
Referencesp. 267
Exercisesp. 268
Chapter 9 The Flow Curve
9.1 Introductionp. 269
9.2 Equivalence in Plasticityp. 269
9.3 Uniaxial Testsp. 274
9.4 Torsion Testsp. 280
9.5 Uniaxial and Torsional Equivalencep. 283
9.6 Modified Compression Testsp. 286
9.7 Bulge Testp. 290
9.8 Equations to the Flow Curvep. 294
9.9 Strain and Work Hardening Hypothesesp. 298
9.10 Concluding Remarksp. 304
Referencesp. 304
Exercisesp. 305
Chapter 10 Plasticity with Hardening
10.1 Introductionp. 309
10.2 Conditions Associated with the Yield Surfacep. 309
10.3 Isotropic Hardeningp. 313
10.4 Validation of Levy Mises and Drucker Flow Rulesp. 318
10.5 Non-Associated Flow Rulesp. 325
10.6 Prandtl-Reuss Flow Theoryp. 326
10.7 Kinematic Hardeningp. 331
10.8 Concluding Remarksp. 336
Referencesp. 336
Exercisesp. 337
Chapter 11 Orthotropic Plasticity
11.1 Introductionp. 339
11.2 Orthotropic Flow Potentialp. 339
11.3 Orthotropic Flow Curvesp. 343
11.4 Planar Isotropyp. 348
11.5 Rolled Sheet Metalsp. 351
11.6 Extruded Tubesp. 357
11.7 Non-Linear Strain Pathsp. 362
11.8 Alternative Yield Criteriap. 365
11.9 Concluding Remarksp. 366
Referencesp. 367
Exercisesp. 368
Chapter 12 Plastic Instability
12.1 Introductionp. 371
12.2 Inelastic Buckling of Strutsp. 371
12.3 Buckling of Platesp. 378
12.4 Tensile Instabilityp. 388
12.5 Circular Bulge Instabilityp. 393
12.6 Ellipsoidal Bulging of Orthotropic Sheetp. 395
12.7 Plate Stretchingp. 399
12.8 Concluding Remarksp. 408
Referencesp. 409
Exercisesp. 409
Chapter 13 Stress Waves in Bars
13.1 Introductionp. 411
13.2 The Wave Equationp. 411
13.3 Particle Velocityp. 412
13.4 Longitudinal Impact of Barsp. 415
13.5 Plastic Wavesp. 421
13.6 Plastic Stress Levelsp. 432
13.7 Concluding Remarksp. 436
Referencesp. 436
Exercisesp. 436
Chapter 14 Production Processes
14.1 Introductionp. 439
14.2 Hot Forgingp. 439
14.3 Cold Forgingp. 442
14.4 Extrusionp. 444
14.5 Hot Rollingp. 448
14.6 Cold Rollingp. 454
14.7 Wire and Strip Drawingp. 457
14.8 Orthogonal Machiningp. 461
14.9 Concluding Remarksp. 475
Referencesp. 475
Exercisesp. 475
Chapter 15 Applications of Finite Elements
15.1 Introductionp. 479
15.2 Elastic Stiffness Matrixp. 479
15.3 Energy Methodsp. 482
15.4 Plane Triangular Elementp. 484
15.5 Elastic-Plastic Stiffness Matrixp. 490
15.6 FE Simulationsp. 496
15.7 Concluding Remarksp. 502
Referencesp. 503
Exercisesp. 503
Indexp. 505