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  4. Nonsmooth contact dynamics for the large-scale simulation of granular material
 
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2017
Journal Article
Titel

Nonsmooth contact dynamics for the large-scale simulation of granular material

Abstract
For the large-scale simulation of granular material, the Nonsmooth Contact Dynamics Method (NSCD) is examined. First, the equations of motion of nonsmooth mechanical systems are introduced and classified as a Differential Variational Inequality (DVI) that has a structure similar to Differential Algebraic Equations (DAEs). Using a Galerkin projection in time, we derive nonsmooth extensions of the SHAKE and RATTLE schemes. A matrix-free Interior Point Method (IPM) is used for the complementarity problems that need to be solved in each time step. We demonstrate that in this way, the NSCD approach yields highly accurate results and is competitive compared to the Discrete Element Method (DEM).
Author(s)
Kleinert, Jan
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI
Simeon, Bernd
Technische Universität Kaiserslautern
Dreßler, Klaus
Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Zeitschrift
Journal of computational and applied mathematics
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DOI
10.1016/j.cam.2016.09.037
Language
English
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Fraunhofer-Institut für Techno- und Wirtschaftsmathematik ITWM
Fraunhofer-Institut für Algorithmen und Wissenschaftliches Rechnen SCAI
Tags
  • granular material

  • Nonsmooth Contact Dynamics

  • friction

  • interior point methods

  • conical optimization

  • timestepping Scheme

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