| Preface | p. xi |
| Acknowledgements | p. xii |
| List of Symbols | p. xiii |
| Stress Analysis | |
| Introduction | p. 1 |
| Cauchy Definition of Stress | p. 4 |
| Three Dimensional Stress Analysis | p. 7 |
| Principal Stresses and Invariants | p. 15 |
| Principal Stresses as Co-ordinates | p. 21 |
| Alternative Stress Definitions | p. 27 |
| Bibliography | p. 31 |
| Exercises | p. 31 |
| Strain Analysis | |
| Introduction | p. 33 |
| Infinitesimal Strain Tensor | p. 33 |
| Large Strain Definitions | p. 40 |
| Finite Strain Tensors | p. 47 |
| Polar Decomposition | p. 58 |
| Strain Definitions | p. 62 |
| References | p. 62 |
| Exercises | p. 63 |
| Yield Criteria | |
| Introduction | p. 65 |
| Yielding of Ductile Isotropic Materials | p. 65 |
| Experimental Verification | p. 71 |
| Anisotropic Yielding in Polycrystals | p. 83 |
| Choice of Yield Function | p. 90 |
| References | p. 91 |
| Exercises | p. 93 |
| Non-Hardening Plasticity | |
| Introduction | p. 95 |
| Classical Theories of Plasticity | p. 95 |
| Application of Classical Theory to Uniform Stress States | p. 98 |
| Application of Classical Theory to Non-Uniform Stress States | p. 111 |
| Hencky versus Prandtl-Reuss | p. 123 |
| References | p. 124 |
| Exercises | p. 124 |
| Elastic-Perfect Plasticity | |
| Introduction | p. 127 |
| Elastic-Plastic Bending of Beams | p. 127 |
| Elastic-Plastic Torsion | p. 137 |
| Thick-Walled, Pressurised Cylinder with Closed-Ends | p. 144 |
| Open-Ended Cylinder and Thin Disc Under Pressure | p. 149 |
| Rotating Disc | p. 154 |
| References | p. 159 |
| Exercises | p. 159 |
| Slip Line Fields | |
| Introduction | p. 161 |
| Slip Line Field Theory | p. 161 |
| Frictionless Extrusion Through Parallel Dies | p. 180 |
| Frictionless Extrusion Through Inclined Dies | p. 191 |
| Extrusion With Friction Through Parallel Dies | p. 195 |
| Notched Bar in Tension | p. 197 |
| Die Indentation | p. 199 |
| Rough Die Indentation | p. 204 |
| Lubricated Die Indentation | p. 207 |
| References | p. 210 |
| Exercises | p. 211 |
| Limit Analysis | |
| Introduction | p. 213 |
| Collapse of Beams | p. 213 |
| Collapse of Structures | p. 215 |
| Die Indentation | p. 221 |
| Extrusion | p. 225 |
| Strip Rolling | p. 230 |
| Transverse Loading of Circular Plates | p. 234 |
| Concluding Remarks | p. 238 |
| References | p. 239 |
| Exercises | p. 239 |
| Crystal Plasticity | |
| Introduction | p. 241 |
| Resolved Shear Stress and Strain | p. 242 |
| Lattice Slip Systems | p. 246 |
| Hardening | p. 248 |
| Yield Surface | p. 250 |
| Flow Rule | p. 255 |
| Micro- to Macro-Plasticity | p. 257 |
| Subsequent Yield Surface | p. 262 |
| Summary | p. 266 |
| References | p. 267 |
| Exercises | p. 268 |
| The Flow Curve | |
| Introduction | p. 269 |
| Equivalence in Plasticity | p. 269 |
| Uniaxial Tests | p. 274 |
| Torsion Tests | p. 280 |
| Uniaxial and Torsional Equivalence | p. 283 |
| Modified Compression Tests | p. 286 |
| Bulge Test | p. 290 |
| Equations to the Flow Curve | p. 294 |
| Strain and Work Hardening Hypotheses | p. 298 |
| Concluding Remarks | p. 304 |
| References | p. 304 |
| Exercises | p. 305 |
| Plasticity with Hardening | |
| Introduction | p. 309 |
| Conditions Associated with the Yield Surface | p. 309 |
| Isotropic Hardening | p. 313 |
| Validation of Levy Mises and Drucker Flow Rules | p. 318 |
| Non-Associated Flow Rules | p. 325 |
| Prandtl-Reuss Flow Theory | p. 326 |
| Kinematic Hardening | p. 331 |
| Concluding Remarks | p. 336 |
| References | p. 336 |
| Exercises | p. 337 |
| Orthotropic Plasticity | |
| Introduction | p. 339 |
| Orthotropic Flow Potential | p. 339 |
| Orthotropic Flow Curves | p. 343 |
| Planar Isotropy | p. 348 |
| Rolled Sheet Metals | p. 351 |
| Extruded Tubes | p. 357 |
| Non-Linear Strain Paths | p. 362 |
| Alternative Yield Criteria | p. 365 |
| Concluding Remarks | p. 366 |
| References | p. 367 |
| Exercises | p. 368 |
| Plastic Instability | |
| Introduction | p. 371 |
| Inelastic Buckling of Struts | p. 371 |
| Buckling of Plates | p. 378 |
| Tensile Instability | p. 388 |
| Circular Bulge Instability | p. 393 |
| Ellipsoidal Bulging of Orthotropic Sheet | p. 395 |
| Plate Stretching | p. 399 |
| Concluding Remarks | p. 408 |
| References | p. 409 |
| Exercises | p. 409 |
| Stress Waves in Bars | |
| Introduction | p. 411 |
| The Wave Equation | p. 411 |
| Particle Velocity | p. 412 |
| Longitudinal Impact of Bars | p. 415 |
| Plastic Waves | p. 421 |
| Plastic Stress Levels | p. 432 |
| Concluding Remarks | p. 436 |
| References | p. 436 |
| Exercises | p. 436 |
| Production Processes | |
| Introduction | p. 439 |
| Hot Forging | p. 439 |
| Cold Forging | p. 442 |
| Extrusion | p. 444 |
| Hot Rolling | p. 448 |
| Cold Rolling | p. 454 |
| Wire and Strip Drawing | p. 457 |
| Orthogonal Machining | p. 461 |
| Concluding Remarks | p. 475 |
| References | p. 475 |
| Exercises | p. 475 |
| Applications of Finite Elements | |
| Introduction | p. 479 |
| Elastic Stiffness Matrix | p. 479 |
| Energy Methods | p. 482 |
| Plane Triangular Element | p. 484 |
| Elastic-Plastic Stiffness Matrix | p. 490 |
| FE Simulations | p. 496 |
| Concluding Remarks | p. 502 |
| References | p. 503 |
| Exercises | p. 503 |
| Index | p. 505 |
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