Mechanics of Brittle Fracture

Instead of the title page......Page 1
CONTENTS......Page 2
Editors' Preface......Page 6
Foreword to the English Edition......Page 8
Foreword to the Russian Edition......Page 10
1-1 Classification of Rheological Models......Page 12
1-2 The Theory of Strength......Page 16
1-3 Ductile Failure......Page 18
1-4 Griffith's Work, The Phenomena of Rupture and Flow in Solids......Page 19
1-5 Some Comments......Page 22
2-1 Exact Quantum Mechanical Method......Page 26
2-2 Approximate Methods......Page 32
2-3 Some Estimates......Page 39
2-4 Method of Thermal Transformation......Page 41
3-1 Classification of Singular Points......Page 49
3-2 Basic Theorems......Page 52
3-3 The Plane Problem of Elasticity Theory......Page 56
3-4 The Cylinder......Page 66
3-5 The Field of Elastic Stresses and Displacements in the Neighborhood of the Tip of an Arbitrary Crack......Page 68
3-6 Closed Cracks and the Influence of Inclusions......Page 73
3-7 Anisotropic Bodies......Page 82
3-8 Piecewise-Homogeneous Bodies......Page 90
3-9 The Influence of the Finiteness of Strains......Page 98
3-10 The Influence of Physical Nonlinearity and the Dimensions of the Initial Cavity......Page 106
3-11 Dynamic Effects......Page 113
3-12 Plastic Bands near the Tip of a Crack......Page 129
4-1 Criterion for Local Fracture......Page 141
4-2 The Energy Method......Page 150
4-3 Generalized Normal Fracture......Page 155
4-4 Stability of Growth of Brittle Cracks......Page 165
4-5 The Concept of Quasibrittle Fracture; The Structure of the Tip of a Crack......Page 166
4-6 Certain Basic Effects of the Process of Fracture......Page 177
4-7 Methods of Determination of the Fracture Toughness......Page 190
4-8 Estimation of Strength and Fracture Toughness of Certain Materials......Page 202
4-9 Other Criteria of Local Failure......Page 211
4-10 An Application of Fracture Mechanics to Mining......Page 214
4-11 Slip Lines in Metals and Rocks......Page 223
5-1 The Energy Equation......Page 246
5-2 Energy Flux......Page 253
5-3 The Numerical Method......Page 261
5-4 The Elastic Body......Page 263
5-5 The Elastic-Plastic Body......Page 281
5-6 An Elastic-Plastic Analogue of the Griffith Problem......Page 306
5-7 The Viscoelastic Body......Page 315
5-8 The Growth of Cavities with Finite Strain......Page 322
5-9 Invariant Gamma Integrals......Page 328
5-10 Some Applications of Invariant Gamma Integrals......Page 334
6-1 Introduction......Page 353
6-2 The Growth of Cracks with Monotonic Loading......Page 356
6-3 The Growth of Fatigue Cracks (Theory)......Page 368
6-4 Comparison of the Theory with Experimental Data......Page 378
6-5 Some Specific Problems......Page 390
6-6 An Example of Calculation of the Long-Term Strength Available with Fatigue Failure......Page 397
7-1 Introduction......Page 409
7-2 Influence of Hydrogen and Moisture on Crack Growth in Metals (Experimental Data)......Page 411
7-3 Crack Growth in Metals under the Influence of Hydrogen (Theory)......Page 418
7-4 The Adsorption Effect......Page 431
7-5 The Growth of Corrosion Cracks (Chemical Stress Corrosion)......Page 440
7-6 The Electrochemical Mechanism of Crack Growth......Page 450
7-7 Comparative Analysis of the Basic Mechanisms of Subcritical Crack Growth in Metals......Page 466
7-8 The Influence of Water on the Fracture of Glass and Rock......Page 474
7-9 The Fracture of Burning Solid Fuels......Page 479
7-10 The Growth of Pits (Pitting)......Page 488
7-11 Analysis of Certain Experimental Data on Subcritical Crack Growth in Metals......Page 499
8-1 Explosive Fracture......Page 523
8-2 An Underground Explosion in a Spherical Cavity......Page 533
8-3 Self-Sustaining Fracture......Page 547
8-4 The Theory of Flame Drilling......Page 553
8-5 Fracture upon Collision of Brittle Bodies......Page 559
8-6 The Scale Effect......Page 567
8-7 Some Problems of the Erosion of Solids in a Stream of Liquid or Gas......Page 577
8-8 Optical Fracture......Page 584
8-9 The Theory of "Hot" Cracks......Page 590
8-10 Structural Model of the Fracture Front......Page 599
8-11 Certain Problems on the Propagation of a Plane Fracture Wave from a Free Boundary......Page 605
8-12 A Fracture Wave in Gas-Filled Porous Bodies......Page 612
9-1 Introduction. Theory of Adhesion......Page 627
9-2 Slip Toughness and Energy of Adhesion......Page 641
9-3 Retarding of Cracks by the Interface between Different Elastic Media......Page 658
9-4 Unidirectional Fiber Composites in Tension......Page 671
9-5 Growth of a Transverse Crack in a Composite (Stochastic Process)......Page 682
9-6 Fracture Toughness and Energy......Page 691
9-7 Compression of Unidirectional Fiber Composites......Page 699
9-8 Fatigue and Corrosion Fracture of Composites......Page 703
9-9 Composites with Dispersed Inclusions......Page 708
9-10 Optimal Design of Some Laminated Materials......Page 728
10-1 Functionally Invariant Solutions of the Wave Equation......Page 743
10-2 Basic Equations. Method of Solution......Page 747
10-3 First Basic Problem for a Half Plane......Page 760
10-4 Plane Problems with Slits......Page 764
10-5 Plane Contact Problems......Page 775
10-6 First Basic Problem for an Elastic Half Space......Page 783
10-7 Axisymmetric Problems with Cracks......Page 789
10-8 Axisymmetric Contact Problems......Page 799
Appendix A Stress Intensity Factors......Page 804
A-1 Plane Static Problems......Page 806
A-2 Three-Dimensional Problems......Page 835
A-3 Complex Shear......Page 858
A-4 Dynamic Problems......Page 867
A-5 Other Problems......Page 876
Appendix B Fracture Toughness of the Most Important Structural Material......Page 898
Appendix C Some Metal-Environment Pairs for Which Brittle Fracture of the Material Is Observed under Tensile Stress......Page 914
References......Page 920
Index......Page 938