Technical Papers
Aug 17, 2016

Three-Dimensional DDA and DLSM Coupled Approach for Rock Cutting and Rock Penetration

Publication: International Journal of Geomechanics
Volume 17, Issue 5

Abstract

Rock cutting and rock penetration are typical problems in civil, mining, petroleum, and geothermal engineering disciplines. They involve dynamic fracturing and fragmentation of rock, high-speed movements of a cutter/impactor, and complex dynamic contacts between the cutter/impactor and the rock. In this study a new three-dimensional (3D) coupled approach is developed to address these problems. The distinct lattice spring model (DLSM) is used to simulate the dynamic fracturing process of the rock, and the discontinuous deformation analysis (DDA) is adopted to model the high-speed motion of the cutter/impactor. An explicit-implicit coupling scheme is developed to bridge DLSM and DDA. Moreover, to take account of interaction between DLSM and DDA, a 3D simplex sphere-to-block contact method is introduced. Finally, a number of numerical examples are conducted to verify the implementation of the coupled approach and its ability to model rock cutting and rock penetration problems.

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References

Beyabanaki, S. A. R., and Bagtzoglou, A. C. (2015). “Sphere-boundary edge and sphere-boundary corner contacts model in DDA for simulating particulate media in 3-D.” Geomech. Geoeng., 10(2), 83–94.
Beyabanaki, S. A. R., Jafari, A., and Yeung, M. R. (2010). “High-order three-dimensional discontinuous deformation analysis (3-D DDA).” Int. J. Numer. Methods Biomed. Eng., 26(2), 1522–1547.
Cho, J. W., Jeon, S., Yu, S. H., and Chang, S. H. (2010). “Optimum spacing of TBM disc cutters: A numerical simulation using the three-dimensional dynamic fracturing method.” Tunnelling Underground Space Technol., 25(3), 230–244.
Dai, F., Xia, K. W., and Tang, L. Z. (2010). “Rate dependence of the flexural tensile strength of Laurentian granite.” Int. J. Rock Mech. Min. Sci., 47(3), 469–475.
Detournay, E., Richard, T., and Shepherd, M. (2008). “Drilling response of drag bits: theory and experiment.” Int. J. Rock Mech. Min. Sci., 45(8), 1347–1360.
Glowka, D. (1989). “Use of single-cutter data in the analysis of PDC bit designs: part 1-development of a PDC cutting force model.” J. Pet. Technol., 41(8), 797–799.
Gong, Q. M., Jiao, Y. Y., and Zhao, J. (2006). “Numerical modelling of the effects of joint spacing on rock fragmentation by TBM cutters.” Tunnelling Underground Space Technol., 21(1), 46–55.
Guo, H. (1990). “Rock cutting using fracture mechanics principles.” Ph.D. thesis, Univ. of Wollongong, New South Wales, Australia.
Hansson, H., and Skoglund, P. (2002). “Simulation of concrete penetration in 2D and 3D with the RHT material model.” Tech. Rep., Swedish Deference Research Agency, Stockholm, Sweden.
He, L., An, X. M., and Zhao, Z. Y. (2014). “Development of contact algorithm for three-dimensional numerical manifold method.” Int. J. Numer. Methods Eng., 97(6), 423–453.
Hughes, G. (1984). “Hard missile impact on reinforced concrete.” Nucl. Eng. Des., 77(1), 23–35.
Ingraffea, A. R. (1987). “Theory of crack initiation and propagation in rock.” Fracture mechanics of rock, B. K. Atkinson, ed., Academic Press, London, 101–107.
Jiang, Q. H., Chen, Y., Zhou, C. B., and Yeung, M. R. (2013). “Kinetic energy dissipation and convergence criterion of discontinuous deformations analysis (DDA) for geotechnical engineering.” Rock Mech. Rock Eng., 46(6), 1443–1460.
Jiang, Q. H., and Yeung, M. R. (2004). “A model of point-to-face contact for three-dimensional discontinuous deformation analysis.” Rock Mech. Rock Eng., 37(2), 95–116.
Jiang, Q. H., Zhou, C. B., and Li, D. Q. (2009). “A three-dimensional numerical manifold method based on tetrahedral meshes.” Comput. Struct., 87(13–14), 880–889.
Jing, L. (2003). “A review techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering.” Int. J. Rock Mech. Min. Sci., 40(3), 283–353.
Kaitkay, P., and Lei, S. (2005). “Experimental study of rock cutting under external hydrostatic pressure.” J. Mater. Process. Technol., 159(2), 206–213.
Kusano, N., Aoyagi, T., Aizawa, J., Ueno, H., Morikawa, H., and Kobayashi, N. (1992). “Impulsive local damage analyses of concrete structure by the distinct element method.” Nucl. Eng. Des., 138(1), 105–110.
Li, J., Ma, G., and Yu, M. (2008). “Penetration analysis for geo-material based on unified strength criterion.” Int. J. Impact Eng., 35(10), 1154–1163.
Li, Q. M., and Chen, X. W. (2003). “Dimensionless formulae for penetration depth of concrete target impacted by a non-deformable projectile.” Int. J. Impact Eng., 28(1), 93–116.
Liu, H. Y., Kou, S. Q., and Lindqvist, P. A. (2002). “Numerical simulation of the fracture process in cutting heterogeneous brittle material.” Int. J. Numer. Anal. Methods Geomech., 26(13), 1253–1278.
Ma, H. S., Yin, L. J., and Ji, H. G. (2011). “Numerical study of the effect of confining stress on rock fragmentation by TBM cutters.” Int. J. Rock. Mech. Min. Sci., 48(6), 1021–1033.
Mahabadi, O., Lisjak, A., Munjiza, A., and Grasselli, G. (2012). “Y-Geo: New combined finite-discrete element numerical code for geomechanical applications.” Int. J. Geomech., 676–688.
Moon, T., and Oh, J. (2012). “A study of optimal rock-cutting conditions for hard rock TBM using the discrete element method.” Rock Mech. Rock Eng., 45(5), 837–849.
Munjiza, A. (2004). The combined finite-discrete element method, Wiley, Hoboken, NJ.
Nishimatsu, Y. (1972). “The mechanics of rock cutting.” Int. J. Rock. Mech. Min. Sci. Geomech. Abstr., 9(2), 261–270.
Onate, E., and Rojek, J. (2004). “Combination of discrete element and finite element methods for dynamic analysis of geomechanics problems.” Comput. Methods Appl. Mech. Eng., 193, 3087–3128.
Seah, C. C., Bervik, T., Remseth, S., and Pan, T.-C. (2011). “Penetration and perforation of rock targets by hard projectiles.” Advances in rock dynamics and applications, Jian Zhao, ed., CRC Press, Boca Raton, FL.
Shi, G. H., and Goodman, R. E. (1985). “Two dimensional discontinuous deformation analysis.” Int. J. Num. Anal. Mech. Geomech., 9(6), 541–556.
Shi, G. H. (1988). “Discontinuous deformation analysis: A new numerical model for the statics and dynamics of block systems.” Ph.D. thesis, Univ. of California, Berkeley, CA.
Shiu, W., Donze, F. V., and Daudeville, L. (2009). “Discrete element modelling of missile impacts on a reinforced concrete target.” Int. J. Comput. Appl. Technol., 34(1), 33–41.
Yeung, M. R., Jiang, Q. H., and Sun, N. (2007). “A model of edge-to-edge contact for three-dimensional discontinuous deformation analysis.” Comput. Geotech., 34(3), 175–186.
Yin, L. J., Gong, Q. M., and Zhao, J. (2014). “Study on rock mass boreability by TBM penetration test under different in situ stress conditions.” Tunnelling Underground Space Technol., 43, 413–425.
Zhao, G. F., Fang, J. N., Sun, L., and Zhao, J. (2013). “Parallelization of the distinct lattice spring model.” Int. J. Numer. Anal .Methods Geomech., 37(1), 51–74.
Zhao, G. F., Fang, J., and Zhao, J. (2011). “A 3D distinct lattice spring model for elasticity and dynamic failure.” Int. J. Numer. Anal. Methods Geomech., 35(8), 859–885.
Zhao, S. L. (2000). “Development of three-dimensional spherical discontinuous deformation analysis for granular materials.” Ph.D. thesis, North Carolina State Univ., Raleigh, NC.
Zhou, Y. (2009). “Simulation of high-velocity penetration for rigid projectile into plain concrete target using discrete element method.” M.Sc. thesis, Virginia Polytechnic Institute and State Univ., Blacksburg, VA.
Zhou, Y. N. (2013). “Numerical modeling of rock drilling with finite elements.” Ph.D. thesis, Univ. of Pittsburgh, Pittsburgh.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 5May 2017

History

Received: Nov 20, 2015
Accepted: Jun 7, 2016
Published online: Aug 17, 2016
Discussion open until: Jan 17, 2017
Published in print: May 1, 2017

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Authors

Affiliations

Gao-Feng Zhao [email protected]
Professor, State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin Univ., Tianjin 300072, China (corresponding author). E-mail: [email protected]
Ji-Jian Lian
Professor, State Key Laboratory of Hydraulic Engineering Simulation and Safety, School of Civil Engineering, Tianjin Univ., Tianjin 300072, China.
Adrian R. Russell
Associate Professor, Centre for Infrastructure Engineering and Safety, School of Civil and Environmental Engineering, Univ. of New South Wales, Sydney, NSW 2052, Australia.
Jian Zhao
Professor, Dept. of Civil Engineering, Monash Univ., Building 60, Clayton, VIC 3800, Australia.

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