Correction of the spring-dashpot-slider model

F Fuehrer and L Brendel and DE Wolf, GRANULAR MATTER, 26, 53 (2024).

DOI: 10.1007/s10035-024-01424-4

The spring-dashpot-slider is a common way to include solid friction for discrete element method simulations of granular matter. However, the most popular model that is currently in use has a number of problems, including the spontaneous creation of energy. The main cause for these problems is the discontinuous evolution of the spring displacement. In this paper, we derive a differential equation for the displacement that yields a continuous time evolution, that fixes the problems of the discontinuous model and is simpler to implement.

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