Implementation of Boundary Conditions in Discrete Element Modeling of Rock Cutting under Pressure

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The article presents an algorithm to implement the confining pressure at a sample’s boundary when modeling a process of rock cutting with a single cutter under pressure. The dynamic process of cutting is modeled using a discrete element method in which the cutter geometry is presented by rigid walls and the rock sample is approximated as a set of separated spherical particles interacting in accord with a given law. The algorithm unifies two approaches to identify boundary spheres and setting forces that act on them. In the areas with particles of big radii, the plane-parallel beam method (shining lamp) is employed, while in the area of cutting that is made of smaller elements, the boundary is identified using the α-shape algorithm.

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114-118

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July 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] P. A. Cundall, O. D. L. Strack. Géotechnique: Vol. 29 (1979), p.47–65.

Google Scholar

[2] D. Zhang, W. J. Whiten. Powder Technology. Vol. 88 (1996), p.59–64.

Google Scholar

[3] J. Schafer, S. Dippel, D. E. Wolf. J. Phys. I France. Vol. 6 (1996), p.5–20.

Google Scholar

[4] H. Zhu, Z. Zhou, R. Yang, A. Yu. Chemical Engineering Science. Vol. 62 (2007).

Google Scholar

[5] D.O. Potyondy, P.A. Cundall. International Journal of Rock Mechanics and Mining Sciences. Vol. 41(2004), pp.1329-1364.

DOI: 10.1016/j.ijrmms.2004.09.011

Google Scholar

[6] L.W. Ledgerwood III. Proceedings of 1st Canada U.S. Rock Mechanics Symposium (2007), pp.511-518.

Google Scholar

[7] D. Potyondy. PFC Development Technical Memorandum. ICG7233-L (2012).

Google Scholar

[8] N. Rafatian, S. Z. Miska, L.W. Ledgerwood, M. Yu, R. Ahmed, N.E. Takach. SPE Drilling & Completion. Vol. 25(01) (2010), pp.10-18.

DOI: 10.2118/119302-pa

Google Scholar

[9] H. Edelsbrunner, E. Mucke. ACM Trans. Graphics. Vol. 13 (1994), p.43–72.

Google Scholar