# Accurate modelling of the elastic behavior of a continuum with the Discrete Element Method

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## Abstract

The Discrete Element Method (DEM) has been used for modelling continua, like concrete or rocks. However, it requires a big calibration effort, even to capture just the linear elastic behavior of a continuum modelled via the classical force-displacement relationships at the contact interfaces between particles. In this work we propose a new way for computing the contact forces between discrete particles. The newly proposed forces take into account the surroundings of the contact, not just the contact itself. This brings in the missing terms that provide an accurate approximation to an elastic continuum, and avoids calibration of the DEM parameters for the purely linear elastic range.

## Keywords

DEM Continuum Elasticity Young’s modulus Poisson’s ratio## Notes

### Acknowledgements

This project was partially funded by the Office for Naval Research of the US and the European Research Council through projects NICE-SHIP and ICEBREAKER, respectively. We also acknowledge the financial support of the CERCA programme of the Generalitat de Catalunya. We would like to thank the Kratos Team [20] at CIMNE for their support during the implementation of the DEMpack code [21] used for the DEM computations, and the GiD Team [22] at CIMNE for their support in pre and postprocessing the computed cases. Thanks also to Prof. Juan Miquel and Dr. Miquel Santasusana for the fruitful discussions that sparked the interest in this research.

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