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Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
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Searching... | 30000010144434 | TA418.14 R43 2006 | Open Access Book | Book | Searching... |
Searching... | 30000010169762 | TA418.14 R43 2006 | Open Access Book | Book | Searching... |
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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
Preface | p. xi |
Acknowledgements | p. xii |
List of Symbols | p. xiii |
Chapter 1 Stress Analysis | |
1.1 Introduction | p. 1 |
1.2 Cauchy Definition of Stress | p. 4 |
1.3 Three Dimensional Stress Analysis | p. 7 |
1.4 Principal Stresses and Invariants | p. 15 |
1.5 Principal Stresses as Co-ordinates | p. 21 |
1.6 Alternative Stress Definitions | p. 27 |
Bibliography | p. 31 |
Exercises | p. 31 |
Chapter 2 Strain Analysis | |
2.1 Introduction | p. 33 |
2.2 Infinitesimal Strain Tensor | p. 33 |
2.3 Large Strain Definitions | p. 40 |
2.4 Finite Strain Tensors | p. 47 |
2.5 Polar Decomposition | p. 58 |
2.6 Strain Definitions | p. 62 |
References | p. 62 |
Exercises | p. 63 |
Chapter 3 Yield Criteria | |
3.1 Introduction | p. 65 |
3.2 Yielding of Ductile Isotropic Materials | p. 65 |
3.3 Experimental Verification | p. 71 |
3.4 Anisotropic Yielding in Polycrystals | p. 83 |
3.5 Choice of Yield Function | p. 90 |
References | p. 91 |
Exercises | p. 93 |
Chapter 4 Non-Hardening Plasticity | |
4.1 Introduction | p. 95 |
4.2 Classical Theories of Plasticity | p. 95 |
4.3 Application of Classical Theory to Uniform Stress States | p. 98 |
4.4 Application of Classical Theory to Non-Uniform Stress States | p. 111 |
4.5 Hencky versus Prandtl-Reuss | p. 123 |
References | p. 124 |
Exercises | p. 124 |
Chapter 5 Elastic-Perfect Plasticity | |
5.1 Introduction | p. 127 |
5.2 Elastic-Plastic Bending of Beams | p. 127 |
5.3 Elastic-Plastic Torsion | p. 137 |
5.4 Thick-Walled, Pressurised Cylinder with Closed-Ends | p. 144 |
5.5 Open-Ended Cylinder and Thin Disc Under Pressure | p. 149 |
5.6 Rotating Disc | p. 154 |
References | p. 159 |
Exercises | p. 159 |
Chapter 6 Slip Line Fields | |
6.1 Introduction | p. 161 |
6.2 Slip Line Field Theory | p. 161 |
6.3 Frictionless Extrusion Through Parallel Dies | p. 180 |
6.4 Frictionless Extrusion Through Inclined Dies | p. 191 |
6.5 Extrusion With Friction Through Parallel Dies | p. 195 |
6.6 Notched Bar in Tension | p. 197 |
6.7 Die Indentation | p. 199 |
6.8 Rough Die Indentation | p. 204 |
6.9 Lubricated Die Indentation | p. 207 |
References | p. 210 |
Exercises | p. 211 |
Chapter 7 Limit Analysis | |
7.1 Introduction | p. 213 |
7.2 Collapse of Beams | p. 213 |
7.3 Collapse of Structures | p. 215 |
7.4 Die Indentation | p. 221 |
7.5 Extrusion | p. 225 |
7.6 Strip Rolling | p. 230 |
7.7 Transverse Loading of Circular Plates | p. 234 |
7.8 Concluding Remarks | p. 238 |
References | p. 239 |
Exercises | p. 239 |
Chapter 8 Crystal Plasticity | |
8.1 Introduction | p. 241 |
8.2 Resolved Shear Stress and Strain | p. 242 |
8.3 Lattice Slip Systems | p. 246 |
8.4 Hardening | p. 248 |
8.5 Yield Surface | p. 250 |
8.6 Flow Rule | p. 255 |
8.7 Micro- to Macro-Plasticity | p. 257 |
8.8 Subsequent Yield Surface | p. 262 |
8.9 Summary | p. 266 |
References | p. 267 |
Exercises | p. 268 |
Chapter 9 The Flow Curve | |
9.1 Introduction | p. 269 |
9.2 Equivalence in Plasticity | p. 269 |
9.3 Uniaxial Tests | p. 274 |
9.4 Torsion Tests | p. 280 |
9.5 Uniaxial and Torsional Equivalence | p. 283 |
9.6 Modified Compression Tests | p. 286 |
9.7 Bulge Test | p. 290 |
9.8 Equations to the Flow Curve | p. 294 |
9.9 Strain and Work Hardening Hypotheses | p. 298 |
9.10 Concluding Remarks | p. 304 |
References | p. 304 |
Exercises | p. 305 |
Chapter 10 Plasticity with Hardening | |
10.1 Introduction | p. 309 |
10.2 Conditions Associated with the Yield Surface | p. 309 |
10.3 Isotropic Hardening | p. 313 |
10.4 Validation of Levy Mises and Drucker Flow Rules | p. 318 |
10.5 Non-Associated Flow Rules | p. 325 |
10.6 Prandtl-Reuss Flow Theory | p. 326 |
10.7 Kinematic Hardening | p. 331 |
10.8 Concluding Remarks | p. 336 |
References | p. 336 |
Exercises | p. 337 |
Chapter 11 Orthotropic Plasticity | |
11.1 Introduction | p. 339 |
11.2 Orthotropic Flow Potential | p. 339 |
11.3 Orthotropic Flow Curves | p. 343 |
11.4 Planar Isotropy | p. 348 |
11.5 Rolled Sheet Metals | p. 351 |
11.6 Extruded Tubes | p. 357 |
11.7 Non-Linear Strain Paths | p. 362 |
11.8 Alternative Yield Criteria | p. 365 |
11.9 Concluding Remarks | p. 366 |
References | p. 367 |
Exercises | p. 368 |
Chapter 12 Plastic Instability | |
12.1 Introduction | p. 371 |
12.2 Inelastic Buckling of Struts | p. 371 |
12.3 Buckling of Plates | p. 378 |
12.4 Tensile Instability | p. 388 |
12.5 Circular Bulge Instability | p. 393 |
12.6 Ellipsoidal Bulging of Orthotropic Sheet | p. 395 |
12.7 Plate Stretching | p. 399 |
12.8 Concluding Remarks | p. 408 |
References | p. 409 |
Exercises | p. 409 |
Chapter 13 Stress Waves in Bars | |
13.1 Introduction | p. 411 |
13.2 The Wave Equation | p. 411 |
13.3 Particle Velocity | p. 412 |
13.4 Longitudinal Impact of Bars | p. 415 |
13.5 Plastic Waves | p. 421 |
13.6 Plastic Stress Levels | p. 432 |
13.7 Concluding Remarks | p. 436 |
References | p. 436 |
Exercises | p. 436 |
Chapter 14 Production Processes | |
14.1 Introduction | p. 439 |
14.2 Hot Forging | p. 439 |
14.3 Cold Forging | p. 442 |
14.4 Extrusion | p. 444 |
14.5 Hot Rolling | p. 448 |
14.6 Cold Rolling | p. 454 |
14.7 Wire and Strip Drawing | p. 457 |
14.8 Orthogonal Machining | p. 461 |
14.9 Concluding Remarks | p. 475 |
References | p. 475 |
Exercises | p. 475 |
Chapter 15 Applications of Finite Elements | |
15.1 Introduction | p. 479 |
15.2 Elastic Stiffness Matrix | p. 479 |
15.3 Energy Methods | p. 482 |
15.4 Plane Triangular Element | p. 484 |
15.5 Elastic-Plastic Stiffness Matrix | p. 490 |
15.6 FE Simulations | p. 496 |
15.7 Concluding Remarks | p. 502 |
References | p. 503 |
Exercises | p. 503 |
Index | p. 505 |