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Simulating granular material using nonsmooth time-stepping and a matrix-free interior point method

: Kleinert, Jan
: Simeon, B.; Tasora, A.

Volltext urn:nbn:de:0011-n-3640936 (1.4 MByte PDF)
MD5 Fingerprint: c7db0c767412d8e008a42a1454b47c29
Erstellt am: 31.10.2015


Stuttgart: Fraunhofer Verlag, 2015, XII, 186 S.
Zugl.: Kaiserslautern, TU, Diss., 2015
ISBN: 3-8396-0934-8
ISBN: 978-3-8396-0934-7
Dissertation, Elektronische Publikation
Fraunhofer ITWM ()
Mathematiker; Ingenieur; Physiker; Informatiker

For the product design of earth-moving machinery, a simulation framework for the soil-tool interaction is an appreciated tool. When modelling soil using nonsmooth time stepping methods, a large complementarity problem must be solved per time step. As a consequence, the method is stable for large time steps and potentially fast. Yet when it comes to the prediction of draft forces, state-of-the-art solvers for the complementarity problems fail to deliver the necessary accuracy. This doctoral thesis introduces a specialized Interior Point Method to overcome this issue. In addition, a detailed derivation of the nonsmooth equations of motion is presented.