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A novel BEM-DEM coupling in the time domain for simulating dynamic problems in continuous and discontinuous media

Guilherme Barros, Victor W. Sapucaia, Philipp Hartmann, André Pereira, Jerzy Rojek, Klaus Thoeni

2023Computer Methods in Applied Mechanics and Engineering18 citationsDOIOpen Access PDF

Abstract

This work presents a novel scheme to couple the Boundary Element Method (BEM) and the Discrete Element Method (DEM) in the time domain. The DEM captures discontinuous material behaviour, such as fractured and granular media. However, applying the method to real-life applications embedded into infinite domains is challenging. The authors propose a solution to this challenge by coupling the DEM with the BEM. The capability of the BEM to model infinite domains accurately and efficiently, without the need for numerical artifices, makes it the perfect complement to the DEM. This study proposes a direct monolithic interface-based coupling method that resolves any incompatibilities between the two methods in two dimensions. The benchmark results show that the proposed methodology consistently produces results that align with analytical solutions. The final example in the paper showcases the full potential of this innovative methodology, where the DEM models a fracturing process, and the BEM evaluates its far-field effect.

Topics & Concepts

Boundary element methodDiscrete element methodCoupling (piping)Benchmark (surveying)Domain (mathematical analysis)Computer scienceProcess (computing)Element (criminal law)Boundary (topology)Field (mathematics)Complement (music)Partial element equivalent circuitDiscontinuous Galerkin methodAlgorithmComputational scienceFinite element methodMathematicsMathematical analysisPhysicsEngineeringStructural engineeringMechanical engineeringMechanicsGeologyComplementationBiochemistryQuantum mechanicsOperating systemEquivalent circuitPhenotypeChemistryVoltagePolitical scienceLawGeodesyGenePure mathematicsNumerical methods in engineeringElectromagnetic Simulation and Numerical MethodsFluid Dynamics Simulations and Interactions
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