Technical Papers
Sep 28, 2017

Model of Sphere-to-Edge Contact for Spherical Discontinuous Deformation Analysis

Publication: International Journal of Geomechanics
Volume 17, Issue 12

Abstract

Spherical element-based discontinuous deformation analysis (SDDA) usually uses simple types of contact such as sphere–sphere and sphere–plane contact for detection. However, in practical engineering simulations, there is also found sphere–edge contact in the context of interactions between spheres and fixed boundaries. This incompleteness of contact types in the original SDDA restricts its application to problems involving complex boundary shapes. To fill this gap, this paper presents a sphere–edge contact model to extend the application of SDDA to complex boundary shapes such as edges, corners, and finite and infinite planes. The contact formulation is deduced and the algorithm is implemented in SDDA source code developed by the authors. Four numerical examples are simulated for verification. The results show that the proposed model is correct and effective.

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Acknowledgments

This work was supported by the National Basic Research Program of China (“973” Project) (Grants 2014CB046904 & 2014CB047101) and the National Natural Science Foundation of China (Grants 51479191 & 51509242).

References

Bao, H. R., Hatzor, Y. H., and Huang, X. (2012). “A new viscous boundary condition in the two-dimensional discontinuous deformation analysis method for wave propagation problems.” Rock Mech. Rock Eng., 45(5), 919–928.
Beyabanaki, S. A. R., and Bagtzoglou, A. C. (2012). “Three-dimensional discontinuous deformation analysis (3-D DDA) method for particulate media application.” Geomech. Geoeng., 7(4), 239–253.
Chen, G. Q., Zheng, L., Zhang, Y. B., and Wu, J. (2013). “Numerical simulation in rock analysis: A close comparison of 2-D and 3-D DDA.” Rock Mech. Rock Eng., 46(3), 527–541.
Chen, H. M., Zhao, Z. Y., Choo, L. Q., and Sun, J. P. (2016). “Rock cavern stability analysis under different hydro-geological conditions using the coupled hydro-mechanical model.” Rock Mech. Rock Eng., 49(2), 555–572.
Cheng, Y. M. (1998). “Advancements and improvement in discontinuous deformation analysis.” Comput. Geotech., 22(2), 153–163.
Fan, H., and He, S. M. (2015). “An angle-based method dealing with vertex-vertex contact in the two-dimensional discontinuous deformation analysis (DDA).” Rock Mech. Rock Eng., 48(5), 2031–2043.
Jiang, Q. H., Chen, Y. F., Zhou, C. B., and Yeung, M. C. R. (2013). “Kinetic energy dissipation and convergence criterion of discontinuous deformation 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 deformation analysis.” Rock Mech. Rock Eng, 37(2), 95–116.
Jiao, Y. Y., Zhang, H. Q., Tang, H. M., Zhang, X. L., Adoko, A. C., and Tian, H. N. (2014). “Simulating the process of reservoir-impoundment-induced landslide using the extended DDA method.” Eng. Geol., 182, 37–48.
Jiao, Y. Y., Huang, G. H., Zhao, Z. Y., Zheng, F., and Wang, L. (2015). “An improved three-dimensional spherical DDA model for simulating rock failure.” Sci. China Tech. Sci., 58(9), 1533–1541.
Nie, W., Zhao, Z. Y., Ning, Y. J., and Sun, J. P. (2014). “Development of rock bolt elements in two-dimensional discontinuous deformation analysis.” Rock Mech. Rock Eng., 47(6), 2157–2170.
Shi, G. H. (1998). “Discontinuous deformation analysis: A new numerical model for the statics and dynamics of block systems.” Ph.D. thesis, Univ. of California, Berkeley, CA.
Shi, G. H. (2015). “Contact theory.” Sci. China Tech. Sci., 58(9), 1450–1496.
Sitar, N., Maclaughlin, M. M., and Doolin, D. M. (2005). “Influence of kinematics on landslide mobility and failure mode.” J. Geotechnol. Geoenviron., 716–728.
Wu, J. H., Ohnishi, Y., and Nishiyama, S. (2004). “Simulation of the mechanical behavior of inclined jointed rock masses during tunnel construction using discontinuous deformation analysis (DDA).” Int. J. Rock Mech. Min. Sci., 41(5), 731–743.
Wu, J. H., Ohnishi, Y., and Nishiyama, S. (2005). “A development of the discontinuous deformation analysis for rock fall analysis.” Int. J. Numer. Anal. Meth. Geomech., 29(10), 971–988.
Wu, W., Zhu, H. H., Zhuang, X. Y., Ma, G. W., and Cai, Y. C. (2014). “A multi-shell cover algorithm for contact detection in the three dimensional discontinuous deformation analysis.” Theor. Appl. Fract. Mech., 72, 136–149.
Yeung, M. R. and Leong, L. L. (1997). “Effects of joint attributes on tunnel stability.” Int. J. Rock Mech. Min. Sci., 34(3-4).
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.
Zhang, Y., Chen, G., Zheng, L., Li, Y., and Wu, J. (2013). “Effects of near-fault seismic loadings on run-out of large-scale landslide: A case study.” Eng. Geol., 166, 216–236.
Zhang, Y., Xu, Q., Chen, G., Zhao, J. X., and Zheng, L. (2014). “Extension of discontinuous deformation analysis and application in cohesive-frictional slope analysis.” Int. J. Rock Mech. Min. Sci., 70, 533–545.
Zhang, Y., Wang, J., Xu, Q., Chen, G., Zhao, J., Zhen, L., Han, Z., and Yu, P. (2015). “DDA validation of the mobility of earthquake-induced landslides.” Eng. Geol., 2015, 194, 38–51.
Zhao, S. L. (2000). “Development of three dimensional spherical discontinuous deformation analysis for granular materials.” Ph.D. thesis, North Carolina State Univ., Raleigh, NC.
Zheng, F., Jiao, Y. Y., Zhang, X. L., Tan, F., Wang, L., and Zhao, Q. (2016). “Object-oriented contact detection approach for three-dimensional discontinuous deformation analysis based on entrance block theory.” Int. J. Geomech., E4016009.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 17Issue 12December 2017

History

Received: Aug 24, 2016
Accepted: Jun 15, 2017
Published online: Sep 28, 2017
Published in print: Dec 1, 2017
Discussion open until: Feb 28, 2018

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Ph.D. Candidate, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R. China; Univ. of Chinese Academy of Sciences, Beijing 100049, P.R. China. E-mail: [email protected]
Professor, Faculty of Engineering, China Univ. of Geosciences, Wuhan 430074, P.R. China (corresponding author). ORCID: https://orcid.org/0000-0001-9081-6932. E-mail: [email protected]
Gang-Hai Huang [email protected]
Lecturer, School of Civil Engineering, Hunan Univ. of Science and Technology, Xiangtan 411201, P.R. China. E-mail: [email protected]
Ph.D. Candidate, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R. China; Univ. of Chinese Academy of Sciences, Beijing 100049, P.R. China; Visiting Student, Dept. of Civil and Environmental Engineering, Univ. of California, Berkeley, Berkeley, CA 94720. E-mail: [email protected]
Ph.D. Candidate, State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, P.R. China; Univ. of Chinese Academy of Sciences, Beijing 100049, P.R. China. E-mail: [email protected]

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