## A dual boundary element formulation for three-dimensional fracture analysisThis volume presents the dual boundary element formulation which uses continuous elements in three dimensions, and applies it to the analysis of geomechanical fracture problems and fatigue crack growth. |

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### Contents

Basic Elasticity and Fracture Mechanics | 9 |

The Boundary Element Method | 27 |

The ThreeDimensional Dual Boundary Element Method | 49 |

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### Common terms and phrases

9-noded accurate Aliabadi analysis of crack analytic solution applied boundary element formulation boundary element method boundary integral equation Brebbia calculated Cauchy principal value chapter co-ordinate system collocation components computational containing the source continuous elements crack extension crack front elements crack growth crack problems crack surfaces DBEM developed discontinuous elements discretisation displacement and traction displacement BIE displacement boundary integral displacement derivative BIE displacement discontinuity dr(x dual boundary element edge crack elastostatics error evaluation finite element fracture mechanics free term fundamental solution geomechanical geometry Hooke's Law hydraulic fracture Ingraffea interpolation Jacobian kernel linear elastic loading matrix mesh mixed-mode mode modelling nodal nodes Numerical Methods obtained parameters Poisson's ratio principal value procedure quarter point elements remeshing right hand side SBIE seam shape functions shown in Figure singular integrals source point SPCF elements standard elements strain energy stress intensity factors superelement technique Tijk traction BIE traction boundary integral transformation Uijk vector