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.
Author: | Jan Kleinert, Bernd Simeon, Klaus Dressler |
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URN: | urn:nbn:de:hbz:386-kluedo-43051 |
Document Type: | Preprint |
Language of publication: | English |
Date of Publication (online): | 2016/02/24 |
Year of first Publication: | 2015 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2016/02/24 |
Tag: | Nonsmooth contact dynamics |
Page Number: | 23 |
Faculties / Organisational entities: | Kaiserslautern - 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 |