## 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 1 The Process Region | 5 |

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 analytic function anti-plane arrest assumed asymptotic axis Barenblatt boundary conditions branch cut cell centered fan considered constant stress coordinate crack edge vicinity crack face loading crack length crack propagation crack velocity curve decohesion deﬁned deﬁnition deformation displacement dissipative region elastic energy dissipation energy flux equation expression ﬁeld ﬁgure ﬁnite ﬁow ﬁrst ﬂow ﬂux fracture fracture mechanics function gives half-plane Hilbert problem implies in-plane increase inﬁnite inﬁnitesimally small instance integral interface inverse J-integral kink Laplace transform material maximum micro-cracks micro-separations mode III crack Note obtained occurs onset parameter path plane strain plane stress plastic flow plastic region plate problem process region Rayleigh wave relation remote load result satisﬁed sector shear stress signiﬁcant singularity small scale yielding solution speciﬁc stable crack growth static stationary crack strain hardening stress intensity factor stress wave surface symmetry plane T-stress vanishes viscoelastic zero