Dynamic Plasticity

N. D. Cristescu9789812567475, 981-256-747-X

This book presents a self-contained and comprehensive look at the field of dynamic plasticity for researchers and graduates in mechanical engineering. Drawing on the author’s long career in the field, the book greatly extends material from the 1967 original edition with the addition of fresh research chapters as well as a full introduction to the elementary theory of plasticity.

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Table of contents :
Contents……Page 10
Preface……Page 8
1 Diagnostic Tests……Page 14
2 Tests Performed at Long and Short Term Intervals……Page 18
3 Long-TermTests……Page 22
4 Temperature Influence……Page 24
6 Variation of Elastic Parameters with Plastic Strain (Metals)……Page 25
Bibliography……Page 26
1.1 Stresses……Page 28
1.2 Yield Conditions……Page 32
1.3 The Classical Constitutive Equation for Perfectly Plastic Materials……Page 35
1.4 Work-Hardening Materials……Page 38
1.5 Isotropic Hardening……Page 40
1.6 The Universal Stress Strain Curve……Page 42
1.7 Constitutive Equation for Isotropic Work-Hardening Materials……Page 43
1.8 The Drucker’s Postulate……Page 44
1.9 Kinematical Work-Hardening……Page 45
1.10 Further Developments……Page 47
1.11 Experimental Tests……Page 48
1.12 Viscoplasticity……Page 51
1.13 Rate Type Constitutive Equations……Page 55
1.14 General Principles……Page 56
Bibliography……Page 63
2.1 Introduction……Page 66
2.2 Experimental Foundation……Page 72
2.3 The Constitutive Equation……Page 84
2.4 Failure……Page 89
2.5 Examples……Page 101
2.6 Viscoelastic Model……Page 107
Bibliography……Page 112
3.1 The Equation of Motion……Page 118
3.2 The Finite Constitutive Equation……Page 121
3.3 The Unloading Problem……Page 137
3.4 Determination of the Loading/Unloading Boundary……Page 140
3.5 The Finite Bar……Page 147
3.6 Examples……Page 157
3.7 The Elastic Solution……Page 168
Bibliography……Page 179
4.1 Experimental Results……Page 182
4.2 The Constitutive Equation……Page 189
4.3 Instantaneous Plastic Response……Page 194
4.4 Numerical Examples……Page 202
4.5 Other Papers……Page 207
Bibliography……Page 224
5.1 Introduction……Page 230
5.2 Equations of Motion……Page 234
5.3 The Finite Constitutive Equation: Basic Formulae……Page 236
5.4 The Order of Propagation of Waves……Page 239
5.5 Boundary and Initial Conditions……Page 240
5.6 Numerical Examples……Page 243
5.7 Rate Influence……Page 245
5.8 Shock Waves……Page 250
5.9 Other Papers……Page 253
Bibliography……Page 259
6.1 Flow of a Bingham Fluid Through a Tube……Page 264
6.2 Flow of a Bingham Fluid Between Two Circular Concentric Cylinders (Reiner [1960])……Page 272
6.3 A Model for Slow Motion of Natural Slopes (Cristescu et al. [2002])……Page 281
6.4 How to Measure the Viscosity and Yield Stress……Page 303
Bibliography……Page 324
7.1 Introduction……Page 328
7.2 Enlargement of a Circular Orifice……Page 330
7.3 Thin Wall Tube……Page 334
7.4.1 Introduction……Page 345
7.4.2 Basic Equations……Page 347
7.4.3 Friction Laws……Page 349
7.4.4 Drawing Stress……Page 350
7.4.5 Comparison with Experimental Data……Page 352
7.4.6 Other Papers……Page 355
7.5.1 Formulation of the Problem……Page 359
7.5.2 Kinematics of the Deformation Process……Page 360
7.5.3 Friction Forces……Page 362
7.5.4 Determination of the Shape of the Floating Plug……Page 364
7.5.5 The Drawing Force……Page 367
7.5.6 Numerical Examples……Page 370
7.6.1 Formulation of the Problem……Page 379
7.6.2 Kinematics of the Process……Page 381
7.6.3 The Approximate Velocity Field……Page 385
7.6.4 The Extrusion Pressure……Page 387
7.6.5 Numerical Examples……Page 388
Bibliography……Page 393
8.1 Introduction……Page 396
8.2 Various Theories……Page 397
8.3 Perforation with Symmetries……Page 406
8.4 Modeling of the Taylor Cylinder Impact Test. Anisotropy……Page 420
8.5 Analysis of the Steady-State Flow of a Compressible Viscoplastic Medium Over a Wedge (Cazacu et al. [2006])……Page 423
Bibliography……Page 433
9.1 Introduction……Page 438
9.2 Further Studies……Page 447
Bibliography……Page 454
Author Index……Page 460
Subject Index……Page 470