Abstract
In this paper, we consider the complex problem of how to simulate particle contacts, taking into account the cohesion effect. In accordance with the molecular dynamics models, we propose a novel expression for the repulsive force which controls dynamically the transfer and dissipation of energy in granular media. This expression is formulated under fractional calculus, where a fractional derivative accumulates the whole history of the virtual overlap over time in weighted form. We then discuss and illustrate the basic properties of the repulsive force in a normal direction to the contacting surfaces. This approach allows us to perform simulations of arbitrary multiparticle contacts as well as granular cohesion dynamics.
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Leszczynski, J. A discrete model of a two-particle contact applied to cohesive granular materials. GM 5, 91–98 (2003). https://doi.org/10.1007/s10035-003-0129-7
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DOI: https://doi.org/10.1007/s10035-003-0129-7