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arXiv · 1612.07006

Formulation and numerical implementation of micro-scale boundary conditions for particle aggregates

J. Liu·E. Bosco·A. S. J. Suiker
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Abstract

The aim of this paper is to propose a novel methodology to deal with micro-structural boundary conditions for the analysis of granular materials. The response of the granular assembly is modelled through the discrete element method (DEM), consistent with a micro-macro homogenization scheme formulated in the transition from a continuous to a discrete setting. The three classical types of boundary conditions (displacement, periodic and displacement) are implemented with a servo-control method. Two types of algorithms are developed, which consider or not an initial prediction for the displacement field of the particles. Additionally, to simulate in a more realistic manner the effect of macroscopic deformation on the micro-structure, a mixed type of boundary conditions is introduced, i.e. a combination of classical boundary conditions. The effectiveness of the algorithms is tested on a series of DEM simulations. The influence of the micro-structural morphology and of the size of the micro-structure on the overall response is finally investigated.

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J. Liu, E. Bosco, A. S. J. Suiker. 2016-12-21. Formulation and numerical implementation of micro-scale boundary conditions for particle aggregates. https://arxiv.org/abs/1612.07006

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