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Coupled SPH and Phase Field method for hydraulic fracturing
Authors:Maria Osorno  Holger Steeb
Affiliation:1. Institute of Applied Mechanics (CE), University of Stuttgart, Germany;2. Institute of Applied Mechanics (CE), University of Stuttgart, Germany

Stuttgart Research Centre for Simulation Technology , University of Stuttgart, Germany

Abstract:
Simulation of fracture initiation and propagation using classical mesh-based methods involves computationally expensive operations for pre-processing and (adaptive) remeshing of complex geometries. To overcome the difficulties we propose to use a Smoothed Particle Hydrodynamics (SPH) method to model hydraulic fracturing. SPH is a meshless Lagrangian method highly suitable for large deformations [1]. The present contribution discusses a numerical approach to model fractures initiation and propagation, by coupling SPH with the Phase Field method [2]. The proposed hybrid method overcomes the instability problems that can present SPH due to kernel incompleteness. We first validate the proposed model with a stationary elastic fracture and compare the results with the classical SPH to the SPH-Phase Field approach. (© 2017 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:
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