## Cracks and FractureCracks 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 |

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### Contents

Chapter 2 The Fracture Process | 27 |

Chapter 3 Basic Relations in Crack Mechanics | 45 |

Chapter 4 Elastostatic Cracks | 99 |

Chapter 5 Elastoplastic Stresses and Strains | 247 |

Chapter 6 Elastodynamic Crack Mechanics | 328 |

Chapter 7 Elastoplastic Crack Dynamics | 509 |

Chapter 8 Physical and Engineering Aspects of Fracture | 544 |

Chapter 9 Dynamic Processes in Fracture Mechanics | 624 |

Appendices | 660 |

701 | |

732 | |

753 | |

### Common terms and phrases

analytic function anti-plane arrest assumed asymptotic Barenblatt body boundary conditions branch cut Broberg cell centered fan considered constant stress coordinate crack edge vicinity crack face loading crack length crack propagation crack velocity curve decohesion deformation dependent direction dissipative region dynamic elastic energy dissipation energy flux equation expression finite fracture fracture mechanics gives half-plane Hilbert problem Hooke's law implies in-plane increase infinitesimally small instance integral interface intersonic inverse J-integral KIII Laplace transform material maximum micro-cracks micro-separations mode III crack Note obtained occurs parameter path plane strain plane stress plastic flow plastic region plate problem process region Rayleigh wave relation remote load result scale of yielding sector shear stress singularity small scale yielding solution static stationary crack strain hardening stress intensity factor stress wave stress-strain energy stresses and strains surface symmetry plane T-stress traction free unstable crack growth vanishes viscoelastic zero