Basic Engineering Plasticity

An Introduction with Engineering and Manufacturing Applications

By: David Rees

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Paperback | 30 June 2006

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528 Pages

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24.13 x 17.15 x 3.18

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6 3/4 X 9 3/5 in Preface
List of Notations

<STRON G>Chapter 1: Stress Analysis
1.1 Introduction
1.2 Cauchy Definition of Stress
1.3 3D Stress Anal ysis
1.4 Principal Stresses and Invariants
1.5 Principal Stresses as Co-ordinates
1.6 Alternative Stress Definitions
Bibliography
Exercises

Chapter 2: Strain Analysis
2.1 Introduction
2.2 Infinitesimal Strain Tensor
2.3 Large Strain Definitions
2.4 Finite Strain Tensors< BR id='CRLF'>2.5 Polar Decomposition
2.6 Strain Definitions
References
Exercises

Chapter 3: Yield Criteria
3.1 Introduct ion
3.2 Yielding of Ductile Isotropic Materials
3.3 Experimental Verification
3.4 Anisotropic Yielding in Polycrystals
3.5 Choice of Yield Function
Ref erences
Exercises

Chapte

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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
Table of Contents provided by Ingram. All Rights Reserved.

Basic Engineering Plasticity

An Introduction with Engineering and Manufacturing Applications

At a Glance

Paperback

Shipping

How to return your order

Defective items

You Can Find This Book In

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