International Journal for Numerical and Analytical Methods in Geomechanics · 2010 · 52 citations · 42 references
EngineeringCivil EngineeringGeological EngineeringHydraulic FracturingSoil MechanicsSubsurface Fluid FlowCrack AssessmentFracture InitiationFracture MechanicsFracture PropagationCrack PropagationCrack Propagation AnalysisCrack Propagation ModelingDynamic FractureFracture Propagation AnalysisFracture Propagation ModelingFracture Propagation SimulationMixed-mode Fracture
Abstract In this paper, a mathematical model is presented for the analysis of dynamic fracture propagation in the saturated porous media. The solid behavior incorporates a discrete cohesive fracture model, coupled with the flow in porous media through the fracture network. The double‐nodded zero‐thickness cohesive interface element is employed for the mixed mode fracture behavior in tension and contact behavior in compression. The crack is automatically detected and propagated perpendicular to the maximum effective stress. The spatial discretization is continuously updated during the crack propagation. Numerical examples from the hydraulic fracturing test and the concrete gravity dam show the capability of the model to simulate dynamic fracture propagation. The comparison is performed between the quasi‐static and fully dynamic solutions, and the performance of two analyses is investigated on the values of crack length and crack mouth opening. Copyright © 2010 John Wiley & Sons, Ltd.
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General Theory of Three-Dimensional Consolidation
Maurice A. Biot · Journal of Applied Physics · 1941 · 9.6K citations · Full text
Engineering, Civil Engineering, Geotechnical Engineering +13
Mechanics of Deformation and Acoustic Propagation in Porous Media
M. A. Biot · Journal of Applied Physics · 1962 · 3.9K citations · Full text
Natural Sciences, Physics, Acoustics +15