Cracks and Fracture
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Table of contents
- Cracks and Fractureiii
- Copyright Pageiv
- Contentsv
- Prefacexiv
- Introduction1
- Chapter 1. The Process Region5
- 1.1 Introduction5
- 1.2 Micro-separations and coalescences5
- 1.3 The cell model of materials15
- 1.4 Definition of the process region18
- 1.5 Dimensions of the process region20
- 1.6 Models of the process region22
- 1.7 Experimental observations25
- Chapter 2. The Fracture Process27
- 2.1 Introduction27
- 2.2 Pre-existing cracks27
- 2.3 Loading before crack Growth29
- 2.4 Onset of crack growth30
- 2.5 Stable crack growth31
- 2.6 Onset of unstable crack growth35
- 2.7 Unstable crack growth36
- 2.8 The Plastic Region And Its Wake39
- Chapter 3. Basic Relations in Crack Mechanics45
- 3.1 Introduction45
- 3.2 Path-independent integrals48
- 3.3 Stress-strain field at small scale yielding67
- 3.4 Cracks in non-linear elastic environments84
- 3.5 Results based on energy considerations85
- 3.6 The Barenblatt model95
- Chapter 4. Elastostatic Cracks99
- 4.1 Introduction99
- 4.2 Eigenfunction expansions99
- 4.3 Complex potentials for anti-plane strain103
- 4.4 Complex potentials for in-plane problems111
- 4.5 Conformal mapping126
- 4.6 Some applications of complex potentials132
- 4.7 Integral equations148
- 4.8 Dual integral equations160
- 4.9 Wiener-Hopf technique163
- 4.10 Kinked and branched cracks171
- 4.11 Directional stability of cracks174
- 4.12 Interface cracks177
- 4.13 Three-dimensional crack problems190
- 4.14 Cracks in anisotropic linearly elastic media206
- 4.15 Cracks in isotropic viscoelastic media236
- Chapter 5. Elastoplastic Stresses and Strains247
- 5.1 Introduction247
- 5.2 Basic relations248
- 5.3 Stationary mode III cracks254
- 5.4 Stationary mode I cracks278
- 5.5 Stationary mode II cracks296
- 5.6 Slowly moving mode III cracks298
- 5.7 Slowly moving mode I and II cracks308
- Chapter 6. Elastodynamic Crack Mechanics328
- 6.1 Introduction328
- 6.2 The Yoffe problem330
- 6.3 Friction and cohesion in mode II crack propagation345
- 6.4 Steady state mode III crack propagation356
- 6.5 Steady state crack propagation in anisotropic materials360
- 6.6 Steady state crack propagation in viscoelastic materials365
- 6.7 Crack propagation in a strip375
- 6.8 Crack propagation along an interface377
- 6.9 Crack expanding with constant velocity398
- 6.10 Face loaded mode III cracks428
- 6.11 Face loaded in-plane mode cracks439
- 6.12 Non-constant crack velocity and crack arrest456
- 6.13 Stress wave loading of cracks469
- 6.14 Three-dimensional elastodynamic crack problems491
- Chapter 7. Elastoplastic Crack Dynamics509
- 7.1 Introduction509
- 7.2 Mode III crack propagation510
- 7.3 Asymptotic solutions for in-plane crack propagation522
- 7.4 Temperature changes at moving crack edges536
- Chapter 8. Physical and Engineering Aspects of Fracture544
- 8.1 Introduction544
- 8.2 Processes in the crack edge vicinity545
- 8.3 Prediction of onset of crack growth574
- 8.4 Prediction of fracture580
- 8.5 Weibull’s statistical theory of the strength of materials596
- 8.6 Crack directions603
- 8.7 Applications to engineering614
- Chapter 9. Dynamic Processes in Fracture Mechanics624
- 9.1 Dynamic crack propagation624
- 9.2 Branching645
- 9.3 The maximum crack velocity652
- 9.4 Crack arrest654
- Appendices660
- A1 Formulae and general relations660
- A2 The first boundary value problem for the half-plane664
- A3 Some formulae related to the Airy stress function667
- A4 Analytic functions669
- A5 Laplace transforms679
- A6 Mellin transforms683
- A7 Hankel transforms683
- A8 Stresses near a sharp notch684
- A9 Basic relations for stress waves in elastic solids686
- A10 Formulae related to path-independent integrals696
- References701
- Index732
- CRACKS AND FRACTURE753
Cracks and Fracture consists of nine chapters in logical sequence. In two introductory chapters, physical processes in the vicinity of the crack edge are discussed and the fracture process is described. Chapter 3 develops general basic concepts and relations in crack mechanics, such as path independent integrals, stress intensity factors and energy flux into the crack edge region. Chapters 4-7 deal with elastostatic cracks, stationary or slowly moving elastic-plastic cracks, elastodynamic crack mechanics and elastoplastic aspects of fracture, including dynamic fracture mechanics. Appendices include general formulae, the basic theory of analytic functions, introduction to Laplace and Hankel transforms and description of certain basic relations, for instance for stress waves in solids. There is an extensive bibliography, containing references to both classical and recent work, and a comprehensive index.
Key Features
* Presents an extensive bibliography containing references to both classical and recent works and a comprehensive index
* Appendices include general formulas, the basic theory of analytic functions, introduction to Laplace and Hankel transforms, and descriptions of certain basic relations, for instance for stress waves in solids
Key Features
* Presents an extensive bibliography containing references to both classical and recent works and a comprehensive index
* Appendices include general formulas, the basic theory of analytic functions, introduction to Laplace and Hankel transforms, and descriptions of certain basic relations, for instance for stress waves in solids