Selecting a suitable time step for discrete element simulations that use the central difference time integration scheme

316 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

MATERIAL AND INTERACTION PROPERTIES OF SELECTED GRAINS AND OILSEEDS FOR MODELING DISCRETE PARTICLES (2010, methodology): “The model must use a critical time increment that achieves stability and simulates the true phys‐ ics with a manageable number of calculations (O'Sullivan and Bray, 2004; Li et al., 2005).”
Discrete element method for modelling solid and particulate materials (2007, unknown): “Related to our approach here is the work of O’Sullivan and Bray [25] for determining a critical time step size.”
A coupled FEM/DEM approach for hierarchical multiscale modelling of granular media (2014, methodology): “The kinematics of the particles follows the Newton’s law of motion and the positions of particles are updated using a time-marching scheme, which requires a critical time step to ensure numerical stability for DEM computations estimated by [41]”
A bond model for DEM simulation of cementitious materials and deformable structures (2014, methodology): “The critical time step for bonded contacts is estimated from an approximate solution based on a single degree of freedom in a mass spring system [40]:”