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

Prof. Bernd Simeon

April 28, 2017, 12:45 p.m. S2 046

For the large-scale simulation of granular material, the Nonsmooth Contact Dynamics
Method is presented. First, the equations of motion of nonsmooth mechanical
systems are introduced and classified as a differential variational inequality that has a
structure similar to differential-algebraic equations. Using a Galerkin projection in
time, we derive nonsmooth extensions of the SHAKE and RATTLE schemes for their
numerical integration. A matrix-free interior point method 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
when compared to the Discrete Element Method (DEM).