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Original Articles

Sphere-boundary edge and sphere-boundary corner contacts model in DDA for simulating particulate media in 3-D

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Pages 83-94 | Received 11 Sep 2013, Accepted 05 Jun 2014, Published online: 23 Jul 2014

References

  • Ahn, T.Y. and Song, J.J., 2011. New contact-definition algorithm using inscribed spheres for 3D discontinuous deformation. International Journal of Computational Methods, 8 (2), 171–191.
  • Bakun-Mazor, D., Hatzor, Y.H. and Glaser, S.D., 2012. Dynamic sliding of tetrahedral wedge: The role of interface friction. International Journal for Numerical and Analytical Methods in Geomechanics, 36 (3), 327–343.
  • Beyabanaki, S.A.R. and Bagtzoglou, A.C., 2012. Three-dimensional discontinuous deformation analysis (3-D DDA) method for particulate media applications. Geomechanics and Geoengineering: An International Journal, 7 (4), 239–253.
  • Beyabanaki, S.A.R. and Bagtzoglou, A.C., 2013a. Non-rigid disk-based DDA with a new contact model. Computers and Geotechnics, 49, 25–35.
  • Beyabanaki, S.A.R. and Bagtzoglou, A.C., 2013b. Accuracy of dynamic disk-based DDA with respect to a single sliding disk cluster. Geomechanics and Geoengineering: An International Journal, 9 (3), 231–240.
  • Beyabanaki, S.A.R., Ferdosi, B. and Mohammadi, S., 2009a. Validation of dynamic block displacement analysis and modification of edge-to-edge contact constraints in 3-D DDA. International Journal of Rock Mechanics and Mining Sciences, 46, 1223–1234.
  • Beyabanaki, S.A.R., Grayeli, R. and Hatami, K., 2008. Three-dimensional discontinuous deformation analysis (3-D DDA) using a new contact resolution algorithm. Computers and Geotechnics, 35, 346–356.
  • Beyabanaki, S.A.R. and Jafari, A., 2005. Modified point-to-face frictionless contact constraints for three-dimensional discontinuous deformation analysis (3-D DDA), Proceedings of the Seventh International Conference on Analysis of Discontinuous Deformation (ICADD-7), 10–12 December 2005 Hawaii, USA. Montana Tech of The University of Montana: Montana Tech, 24–36.
  • Beyabanaki, S.A.R., Jafari, A., Biabanaki, S.O. and Yeung, M.R., 2009b. A coupling model of 3-D discontinuous deformation analysis (3-D DDA) and finite element method. The Arabian Journal for Science and Engineering, 34 (2B), 107–119.
  • Beyabanaki, S.A.R., Jafari, A., Biabanaki, S.O. and Yeung, M.R., 2009c. Nodal-based three-dimensional discontinuous deformation analysis (3-D DDA). Computers and Geotechnics, 36, 359–372.
  • Beyabanaki, S.A.R., Jafari, A., Yeung, M.R. and Biabanaki, S.O., 2007. Implementation of a trilinear hexahedron mesh into three-dimensional discontinuous deformation analysis (3-D DDA). Proceedings of the 8th International Conference on Analysis of Discontinuous Deformation: Fundamentals and Applications to Mining and Civil Engineering, Beijing, China, 14–19 August 2007. Beijing, P. R. China: China University of Mining and Technology, 51–56.
  • Beyabanaki, S.A.R., Jafari, A. and Yeung, M.R., 2008. Development of three-dimensional discontinuous deformation analysis (3-D DDA) with 3rd order displacement function. 42nd U.S. Rock Mechanics Symposium and 2nd U.S.-Canada Rock Mechanics Symposium, 29 June–2 July 2008 San Francisco, USA, paper number ARMA 08–349. USA: American Rock Mechanics Association (ARMA).
  • Beyabanaki, S.A.R., Jafari, A. and Yeung, M.R., 2009d. Second-order displacement functions for three-dimensional discontinuous deformation analysis (3-D DDA). International Journal of Science and Technology, 16 (3), 216–225.
  • Beyabanaki, S.A.R., Jafari, A. and Yeung, M.R., 2010a. High - order three - dimensional discontinuous deformation analysis (3-D DDA). International Journal for Numerical Methods in Biomedical Engineering, 26 (12), 1522–1547.
  • Beyabanaki, S.A.R., Mikola, G.R., Biabanaki, S.O. and Mohammadi, S., 2009e. New point-to-face contact algorithm for 3-D contact problems using the augmented Lagrangian method. Geomechanics and Geoengineering: An International Journal, 4 (3), 221–236.
  • Beyabanaki, S.A.R. and Yeung, M.R., 2011. Modification of contact constraints in high-order three-dimensional discontinuous deformation analysis (3-D DDA). 45th U.S. Rock Mechanics/Geomechanics Symposium, 26–29 June 2011 San Francisco, USA, paper number ARMA 11–203. USA: American Rock Mechanics Association (ARMA).
  • Beyabanaki, S.A.R., Yeung, M.R., Mohammadi, S. and Gao, Y.N., 2010b. Contact theory for deformable blocks in three-dimensional discontinuous deformation analysis (3-D DDA). 44th U.S. Rock Mechanics Symposium, 27–30 June 2010 Salt Lake City, Utah, USA, paper number ARMA 10–316. USA: American Rock Mechanics Association (ARMA).
  • Beyabanaki, S.A.R., Yeung, M.R. and Vosogh, A.H., 2009f. Three-dimensional discontinuous deformation analysis (3-D DDA) with nth-order polynomial displacement functions. 43rd U.S. Rock Mechanics Symposium and 4th U.S.-Canada Rock Mechanics Symposium, 28 June–1 July 2009 Asheville, North Carolina, USA, paper number ARMA 09–5. USA: American Rock Mechanics Association (ARMA).
  • Hatzor, Y.H. and Bakun-Mazor, D., 2011. Modeling dynamic deformation in natural rock slopes and underground openings with DDA: review of recent results. Geomechanics and Geoengineering: An International Journal, 6 (4), 283–292.
  • Jiang, Q.H. and Yeung, M.R., 2004. A model of point-to-face contact for three-dimensional discontinuous deformation analysis. Rock Mechanics and Rock Engineering, 37 (2), 95–116.
  • Jing, L. and Hudson. J.A., 2002. Numerical methods in rock mechanics. International Journal of Rock Mechanics & Mining Sciences, 39, 409–427.
  • Jing, L., 2003. A review of techniques, advances and outstanding issues in numerical modelling for rock mechanics and rock engineering. International Journal of Rock Mechanics & Mining Sciences, 40, 283–353.
  • Ke, T.-C. and Bray, J.D., 1995. Modeling of particulate media using discontinuous deformation analysis. Journal of Engineering Mechanics, 121 (11), 1234–1243.
  • Koyama, T., Nishiyama, S., Yang, M. and Ohnishi, Y., 2011. Modeling the interaction between fluid flow and particle movement with discontinuous deformation analysis (DDA) method. International Journal for Numerical and Analytical Methods in Geomechanics, 35, 1–20.
  • Liu, J., Kong, X. and Lin, G., 2004. Formulation of the three-dimensional discontinuous deformation analysis method. Acta Mechanica Sinica, 20 (3), 270–282.
  • Liu, J., Nan, Z. and Yi, P., 2012. Validation and application of three-dimensional discontinuous deformation analysis with tetrahedron finite element meshed block. Acta Mechanica Sinica, 28 (6), 1602–1616.
  • MacLaughlin, M.M. and Doolin, D.M., 2006. Review of validation of the discontinuous deformation analysis (DDA) method. International Journal for Numerical and Analytical Methods in Geomechanics, 30, 271–305.
  • Mohammadi, S., 2003. Discontinuous mechanics using Finite and Discrete elements. Southampton, UK: WIT Press.
  • Moosavi, M., Jafari, A. and Beyabanaki, S.A., 2005. Dynamic three-dimensional discontinuous deformation analysis (3-D DDA) validation using analytical solution. Proceedings of the Seventh International Conference on Analysis of Discontinuous Deformation (ICADD-7), Hawaii, USA, 10–12 December 2005, 37–48.
  • Nezami, G., Hashash, Y.M., Zhao, D. and Ghaboussi, J., 2004. A fast contact detection algorithm for 3-D discrete element method. Computers and Geotechnics, 31, 575–587.
  • Ohnishi, Y. and Nishiyama, S., 2007. Recent insights of analyses using discontinuous methods in rock engineering in Japan, Proceedings of the 8th International Conference on Analysis of Discontinuous Deformation: Fundamentals and Applications to Mining and Civil Engineering, 14–19 August 2007 Beijing, China. Beijing, P. R. China: China University of Mining and Technology, 15–26.
  • O’Sullivan, C., 2011. Particulate Discrete Element Modelling: A Geomechanics Perspective. Oxford: Taylor & Francis.
  • Poschel, T. and Schwager, T., 2005. Computational Granular Dynamics: Models and Algorithms. Berlin: Springer-Verlag.
  • Shi, G.H., 1988. Discontinuous deformation analysis: a new numerical model for the statics and dynamics of block systems. Thesis (PhD). Department of Civil Engineering, University of California, Berkeley.
  • Shi, G.H., 1993. Block System Modeling by Discontinuous Deformation Analysis. Southampton, UK: Computational Mechanics Publication.
  • Shi, G.H., 2001. Three dimensional discontinuous deformation analysis. In: D. Elsworth, J.P. Tunucci and K.A. Heasley, eds., Proceedings of the 38th US Rock Mechanics Symposium, 7–10 July 2001 Washington, DC. USA: Taylor & Francis, 1421–1428.
  • Shi, G.H., 2007. Applications of discontinuous deformation analysis (DDA) to rock stability analysis. Proceedings of the 8th International Conference on Analysis of Discontinuous Deformation: Fundamentals and Applications to Mining and Civil Engineering, 14–19 August 2007 Beijing, China. Beijing, P. R. China: China University of Mining and Technology, 1–13.
  • Soto-Yarritu, G.R. and Martinez, A. de A., 2001. Computer simulation of granular material: Vibrating feeders. Powder Handling Process, 13 (2), 181–184.
  • Thomas, P.A., 1997. Discontinuous deformation analysis of particulate media. Thesis (PhD). University of California, Berkeley, CA.
  • Thomas, P.A. and Bray, J.D., 1999. Capturing nonspherical shape of granular media with disk clusters. Journal of Geotechnical and Geoenvironmental Engineering, 125 (3), 169–178.
  • Wu, J.H., 2008. New edge-to-edge contact calculating algorithm in three-dimensional discrete numerical analysis. Advances in Engineering Software, 39 (1), 15–24.
  • Wu, J.H., Juang, C.H. and Lin, H.M., 2005a. Vertex-to-face contact searching algorithm for three-dimensional frictionless contact problems. International Journal for Numerical Methods in Engineering, 63 (6), 876–897.
  • Wu, J.H., Ohnishi, Y., Shi, G.H. and Nishiyama, S., 2005b. Theory of three-dimensional discontinuous deformation analysis and its application to a slope toppling at Amatoribashi, Japan. International Journal of Geomechanics, 179–195.
  • Yeung, M.R., Jiang, Q.H. and Sun, N., 2003. Validation of block theory and three-dimensional discontinuous deformation analysis as wedge stability analysis method. International Journal of Rock Mechanics and Mining Sciences, 40 (2), 265–275.
  • Yeung, M.R., Sun, N., Jiang, Q.H. and Blair, S.C., 2004. Analysis of large block test data using three-dimensional discontinuous deformation analysis. International Journal of Rock Mechanics and Mining Sciences, 41 (3), 458–459.
  • Yeung, M.R., Jiang, Q.H. and Sun, N., 2007. A model of edge-to-edge contact for three-dimensional discontinuous deformation analysis. Computers and Geotechnics, 34 (3), 175–186.

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