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Nonsmooth Contact Dynamics for the Large-Scale Simulation of Granular Material

  • For the prediction of digging forces from a granular material simulation, the Nonsmooth Contact Dynamics Method is examined. First, the equations of motion for nonsmooth mechanical systems are laid out. They are a differential variational inequality that has the same structure as classical discrete algebraic equations. Using a Galerkin projection in time, it becomes possible to derive nonsmooth versions of the classical SHAK and RATTLE integrators. A matrix-free Interior Point Method is used for the complementarity problems that need to be solved in every time step. It is shown that this method outperforms the Projected Gauss-Jacobi method by several orders of magnitude and produces the same digging force result as the Discrete Element Method in comparable computing time.

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Metadaten
Author:Jan Kleinert, Bernd Simeon, Klaus Dressler
URN (permanent link):urn:nbn:de:hbz:386-kluedo-43051
Document Type:Preprint
Language of publication:English
Publication Date:2016/02/24
Year of Publication:2015
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2016/02/24
Tag:Nonsmooth contact dynamics
Number of page:23
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
MSC-Classification (mathematics):65-XX NUMERICAL ANALYSIS
Licence (German):Standard gemäß KLUEDO-Leitlinien vom 30.07.2015