Computational Mechanics of Discontinua

Computational Mechanics of Discontinua

Volumn , Issue , 2011, Pages

  Munjiza, Antonio A ^a   Knight, Earl E ^b   Rougier, Esteban ^b  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84891569066     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9781119971160     Document Type: Book

References (301)

1. Cleary, P.W., R. Morrison and S. Morrell (2003) Comparison of DEM and experiment for a scale model SAG mill, International Journal of Mineral Processing, 68: 129-65.
2. Cleary, P.W. (2004) Large scale industrial DEM modelling. Engineering Computations, 21(2/3/4): 169-204.
3. Cleary, P.W., M. Sinnott and R. Morrison (2006) Prediction of slurry transport in SAG mills using SPH fluid flow in a dynamic DEM based porous media, Minerals Engineering, 19: 1517-27.
4. Cleary, P.W. (2007) DEM modelling of particulate flow in a screw feeder. Progress in Computational Fluid Dynamics, 7(2-4): 128-38.
5. Cook, B.K., M.Y. Lee, A.A. DiGiovanni, D.R. Bronowski, E.D. Perkins, and J.R. Williams (2004) Discrete Element Modeling Applied to Laboratory Simulation of Near-Wellbore Mechanics, Int'l Journal of Geomechanics 4(1): 19-27.
6. Hilton, J.E. and P.W. Cleary (2010) Coupled discrete element and fluid modelling with non-spherical grains, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
7. Kruggel-Emden, H., S. Wirtz, V. Scherer and A. Munjiza (2010) Modelling of reacting discrete particles in continuous fluid flow. An energy technology perspective, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
8. Munjiza, A., K.R.F. Andrews, and J.K. White (1998) Combined single and smeared crack model in combined finite-discrete element method, Int. J. Numer. Methods Eng., 44: 41-57.
9. Munjiza, A., J.P. Latham, and K.F. Andrews (2000) Detonation gas model for combined finite-discrete element simulation of fracture and fragmentation, Int. J. Numer. Meth. Eng., 49: 1495-1520.
10. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
11. Mustoe, G.G.W. (2000) A numerical and experimental study of the performance and safety issues for ore pass system. (RP-5). WMRC (Western Mining Resources Center) annual progress.
12. Mustoe, G.G.W., J.R. Williams, G. Hocking, and K. Worgan (1988) Penetration and fracturing of brittle plates under dynamic impact. INTERA Technologies, Inc.
13. Mustoe, G.G.W., J.R. Williams and G. Hocking (1987) The discrete element method in geotechnical engineering. In Developments in Soil Mechanics and Foundation Engineering-3 , 233-63.
14. Mustoe, G.G.W., J.R. Williams and G. Hocking (1977) The discrete element method in geotechnical engineering. In Developments in Soil Mechanics and Foundation Engineering, (Ch. 7), Elsevier, Barking, UK.
15. Owen, D.R.J., A. Munjiza and N. Bicanic (1992) A finite element-discrete element approach to the simulation of rode blasting problems. Proceedings FEMSA-92, 11th Symposium on Finite Element methods in South Africa, Cape Town, 39-59.
16. Owen, D.R.J. and Y.T. Feng (2001) Parallelised finite/discrete element simulation of multi-fracturing solids and discrete systems. Engineering Computations, 18(3/4): 557-76.
17. Owen, D.R.J., Y.T. Feng, E.A. de Souza Neto, M G. Cottrel, F. Wang, F.-M. Andrade Pires, and J. Yu (2002) The modelling of multi-fracture solids and particulate media. Fifth World Congress on Computational Mechanics (WCCM V), Vienna, Austria, July 7-12.
18. Owen, D.R.J., Y.T. Feng, J. Yu, and D. Peric (2001) Finite/discrete element analysis of multi-fracture and multi-contact phenomena. Lecture Notes in Computer Science, 1981: 484-505.
19. Williams, J.R. and G.G.W. Mustoe (1987) Nodal methods for the analysis of discrete systems. Int. J. Comput. and Geotech. 4: 1-19.
20. Williams, J.R. and A.P. Pentland (1989) Good vibrations: modal dynamics for graphics and animation. ACM Comput. Graphics, 23(3): 215-22.
21. Williams, J.R., G.G.W. Mustoe and G. Hawking (1987) The Theoretical Basis of the Discrete Element Method, Numerical Methods in Engineering, Theory, and Application, Rotterdam: Balkema Publishers.
22. Williams, J.R. and G.G.W. Mustoe (1987) Modal Methods for the Analysis of Discrete Systems, Computers and Geotechnics, 4(1): 1-19.
23. Zhou H., Flamant G. and Gauthier D. (2004) DEM-LES simulation of coal combustion in a bubbling fluidized bed Part I, Chem. Eng. Sci., 59(20): 4193-203.
24. Alder, B.J. and T.E. Wainwright (1959) Studies in Molecular Dynamics. I. General Method. Journal of Chemical Physics, 31(2): 459.
25. Alder, B.J. and T.E. Wainwright (1957) Phase Transition for a Hard Sphere System. Journal of Chemical Physics, 27(5): 1208.
26. Cleary, P.W., editor (2007) Proceedings of the Fourth International Conference on Discrete Element Methods, Brisbane, Australia.
27. Cook, B.K. and R.P. Jensen, editors (2002) Discrete Element Methods: Numerical Modeling of Discontinua, Proceedings of the Third International Conference on Discrete Element Methods, Santa Fe, New Mexico, USA, Benjamin K. Cook, Richard P. Jensen, Editors.
28. Cundall, P.A. (1971) A computer model for simulating progressive, large scale movements in blocky rock systems, Proceedings of Symposium of International Society of Rock Mechanics, Nancy, II-8.
29. Cundall, P.A. and O.D.L. Strack (1979) A discrete numerical model for granular assemblies. Geotechnique, 29(1): 47-65.
30. Gingold, R.A. and J.J. Monaghan (1977) Smoothed particle hydrodynamics - Theory and application to nonspherical stars, Royal Astronomical Society, Monthly Notices, 181: 375-89.
31. Karniadakis, G.E., and A. Beskok (2002) Micro Flows, Fundamentals and Simulation, New York: Springer-Verlag.
32. Lucy, L.B. (1977) A numerical approach to the testing of the fission hypothesis, Astronomical Journal, 82: 1013-24.
33. Matthey, T., A. Ko and J.A. Izaguirre (2003) ProtoMcol: A Molecular Dynamics Research Framework for Algorithmic Development. Lecture Notes in Computer Science, 2659: 50-9.
34. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
35. Munjiza, A. editor (2010) Discrete Element Methods: Simulations of Discontinua: Theory and Applications, Proceedings of the Fifth International Conference on Discrete Element Methods, London, UK.
36. Mustoe, G.G.W., M. Henriksen, and H.P. Huttelmaier, editors (1989), Proceedings of the First U.S. Conference on Discrete Element Methods, CISM, Golden, Colorado, USA.
37. Rahman, A. (1964) Correlations in the Motion of Atoms in Liquid Argon. Physical Review, A136: 405-11.
38. Williams, J.R. and Pentland, A. (1991) Superquadrics and modal dynamics for discrete elements in concurrent design. Technical Report Order No.lESL91-12, Intelligent Engineering Systems Laboratory, Massachusetts Institute of Technology.
39. Williams, J.R. and G.W. Mustoe editors (1993), Proceedings of the Second International Conference on Discrete Element Methods, Santa Fe, New Mexico, USA.
40. Allinger, N.L. (1976) Calculation of Molecular Structure and Energy by Force-Field Methods. Advances in Physical Organic Chemistry, 13: 1-82.
41. Allinger, N.L. (1977) Conformational Analysis. 130. MM2. A Hydrocarbon Force Field Utilizing v1 and v2 Torsional Terms. Journal of the American Chemical Society, 99(25): 8127-34.
42. Allinger, N.L., Y.H. Yuh and J.H. Lii (1989) Molecular Mechanics. The MM3 Force Field for Hydrocarbons. 1. Journal of the American Chemical Society, 111(23): 8551-9556.
43. Allinger, N.L., F. Li and L. Yan (1990) Molecular mechanics. The MM3 force field for alkenes. Journal of Computational Chemistry, 11(7): 848-67.
44. Allinger, N.L., F. Li, L. Yan, and J.C. Tai (1990) Molecular mechanics (MM3) calculations on conjugated hydrocarbons. Journal of Computational Chemistry, 11(7): 868-95.
45. Allinger, N.L., K. Chen, J.A. Katzenelenbogen, S.R. Wilson and G.M. Anstead (1996) Hyperconjugative effects on Carbon-Carbon bond lengths in molecular mechanics MM4. Journal of Computational Chemistry, 17: 747-55.
46. Allinger, N.L., K. Chen and J.H. Lii (1996) An improved force field (MM4) for saturated hydrocarbons. Journal of Computational Chemistry, 17(5-6): 642-68.
47. Berryman, J.G. (1983) Random Close Packing of Hard Spheres and Disks, Phys. Rev. A, 27: l053-61.
48. Cleary, P.W., R. Morrison and S. Morrell (2003) Comparison of DEM and experiment for a scale model SAG mill, International Journal of Mineral Processing, 68: 129-65.
49. Cundall, P.A. (1988) Formulation of a three-dimensional discrete element model, Int. J. Rock Mech. and Mining Sci. and Geomech. Abstracts, 25(3): 107-16.
50. Delaney, G.W., S. Hutzler, and T. Aste (2008) Relation between grain shape and fractal properties in random apollonian packing with grain rotation. Physical Review Letters, 101(12): 120602-4.
51. Delaney, G.W. and P.W. Cleary (2010) The packing properties of superellipsoids. EPL (Europhysics Letters), 89(3): 34002.
52. Delaney, G.W., P.W. Cleary and A.A. Bhuta (2010) Applying DEM to Understanding Jamming in Systems of Non-Spherical Grains, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
53. Halgren, T.A. (1992) Representation of van der Waals (vdW) Interactions in Molecular Mechanics Force Fields: Potential Form, Combination Rules, and vdW Parameters. Journal of the American Chemical Society, 114(20): 7827-43.
54. Hill, T.L. (1948) Steric effects. I. van der waals potential energy curves. The Journal of Chemical Physics, 16(4): 399-404.
55. Hilton, J.E. and P.W. Cleary (2010) Coupled discrete element and fluid modelling with non-spherical grains, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
56. Hilton, J.E. and P.W. Cleary (2010) Enhanced Vibrational Granular Mixing, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
57. Holmes, D.W., J.R. Williams and P. Tilke (2009) Smooth Particle Hydrodynamics for Grain Scale Multi-Phase Fluid Simulations, International Conference on Particle-Based Methods Particles, CIMNE Barcelona.
58. Jensen, F. (1999) An Introduction to Computational Chemistry, John Wiley & Sons, Ltd, Chichester.
59. Jodrey, W.S. and E.M. Tory (1981) Computer Simulation of Isotropic, Homogeneous, Dense Random Packing of Equal Spheres, Powder Tech., 30: 111-18.
60. Kadish, J., E. Rougier, A. Munjiza and J.R. Barber (2007) Granular temperature as an energy dissipation mechanism in bodies of the Solar System, Proceedings of the Royal Society (London), 463: 2485-93.
61. Latham, J.P., A. Munjiza, X. Garcia, J. Xiang, R. Guises (2007) Three-dimensional particle shape acquisition and use of shape library for DEM and FEM/DEM simulation, Minerals Engineering, 21(11): 797-805.
62. Li, S. and W.K. Liu (2004) Meshfree Particle Methods, New York: Springer.
63. Leach, A. (2001) Molecular Modelling: Principles and Applications. Prentice Hall, 2nd ed.
64. Lennard-Jones, J.E. (1931) Cohesion. Proceedings of the Physical Society, 43: 461-82.
65. Liu, G.R. and M.B. Liu (2003) Smoothed Particle Hydrodynamics: AMeshfree Particle Method, World Scientific Publishing Company.
66. London, F. (1930) Zur Theorie und Systematik der Molekularkrafte. Zeitschrift fur Physik A Hadrons and Nuclei, 63(3-4): 245-79.
67. Matsusima, T. and H. Saomoto (2002) Discrete Element Modeling for Irregularly shaped Sand Grains, Proc. NUMGE2002: Numerical Methods in Geotech. Eng., 239-46.
68. Monaghan, J.J. (1992) Smoothed particle hydrodynamics, Annual Review of Astronomy and Astrophysics, 30: 543-74.
69. Morse, P.M. (1929) Diatomic Molecules According to the Wave Mechanics. II. Vibrational Levels. Physical Review, 34(1): 57-64.
70. Munjiza, A. (1992) Discrete elements in transient dynamics of fractured media, Ph.D. Thesis, Civ. Eng. Dept. Swansea.
71. Munjiza, A., D.R.J. Owen and N. Bicanic (1995) A Combined Finite-Discrete Element Method in Transient Dynamics of Fracturing Solids, Engineering Computations, 12(2): 145-74.
72. Munjiza, A., J.P. Latham, and K.R.F. Andrews (2000) Detonation gas model for combined finite-discrete element simulation of fracture and fragmentation, Int. J. Numer. Meth. Engng., 49(12): 1495-520.
73. Munjiza, A., E. Rougier and N.W.M. John (2006) Discrete element method for molecular scale visualization of micro-flows, Journal of Flow Visualization & Image Processing, 14(1): 1-17.
74. Nevins, N. and N.L. Allinger (1996) Molecular Mechanics (mm4) Vibrational Frequency Calculations for Alkenes and Conjugated Hydrocarbons. Journal of Computationa Chemistry, 17(5-6): 730-46.
75. Ng, T.-T. (1992) Numerical Simulations of Granular Soil Using Elliptical Particles, Microstructural Characterization in Constitutive Modeling of Metals and Granular Media. The ASME Summer Mech. and Materials Conferences, Tempo, Arizona, 95-118.
76. Peters, J., M.A. Hopkins, R. Kala, and R.E. Wahl (2009) A poly-ellipsoid particle for non-spherical discrete element method, Eng. Computations, 26(6): 645-57.
77. Preece, D.S., R.P. Jensen, E.D. Perkins and J.R. Williams (1999) Sand Production Modeling Using Superquadric Discrete Elements and Coupling of Fluid Flow and Particle Motion, SAND99-0366C Sandia National Labs., Albuquerque, NM, US.
78. Preece, D., R. Jensen, E. Perkins, and J.R. Williams (1999) Sand Production Modeling using Superquadric Discrete Elements and Coupling of Fluid Flow and Particle Motion, 37th US Rock Mechanics Symposium (Vail Rocks). Balkema, Amsterdam.
79. Rothenburg, L. and Bathurst, R.J. (1991) Numerical Simulation Of Idealized Granular Assemblies with Planar Elliptical Particles, Computers and Geotechniques, 11: 315-29.
80. Rougier, E., A. Munjiza and J.-P. Latham (2004) Shape selection menu for grand scale discontinua systems, Engineering Computations 21: 343-59.
81. Weeks, J.D., D. Chandler and H.C. Andersen (1971) Role of repulsive forces in determining the equilibrium structure of simple liquids. The Journal of Chemical Physics, 54: 5237-47.
82. Wei, Q., Cheng, X.H., and Liu, G.T. (1991) The Elliptic Discrete Element Method as a New Approach to Simulating Granular Media, Proc. Asian Pacific Conf. Computational Mechanics, Hong Kong.
83. Bathurst, R.J. and L. Rothenburg (1988) Micromechanical Aspects of Isotropic Granular Assemblies with Linear Contact Interactions, J. of Applied Mechanics, 55: 17-23.
84. Brach, R.M. (1989) Rigid body collisions, J. Appl. Mech., 56: 133-38.
85. Greengard, L. (1988) The Rapid Evaluation of Potential Fields in Particle Systems, MIT Press, Boston, MA.
86. Johnson, K.L. (1985) Contact Mechanics, Cambridge University Press.
87. Maw, N., J.R. Barber and J.N. Fawcett (1981) The role of elastic tangential compliance in oblique impact, Trans. ASME J. Lubrication Technology, 103: 74-80.
88. Mindlin, R.D. and H. Deresiewicz (1953) Elastic spheres in contact under varying oblique forces. J. Appl. Mech. 20: 327-44.
89. Mindlin, R.D. (1949) Compliance of elastic bodies in contact. J. Appl. Mech. 16: 259-68.
90. Munjiza, A., D.R.J. Owen, N. Bicanic, and L. Xian (1991) A concept of contact element in the discrete element method. Proceedings NEC-91, Intl. Conf. on Nonlinear Engineering Computations, 435-48.
91. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
92. Thornton, C., Z. Ning, C.Y. Wu, M. Nasrulla, L.Y. Li (2001) Contact mechanic and coefficients of restitution In Granular Gases (T. Pöschel, S. Luding, eds.), Springer Berlin, 184-94.
93. Walton, O.R. and R.L. Braun (1986) Viscosity, granular-temperature, and stress calculations for shearing assemblies of inelastic, frictional disks, J. Rheology, 30: 949-80.
94. Zhou, Y.C., B.D. Wright, R.Y. Yang, B.H. Xu and A.B. Yu (1999) Rolling friction in the dynamic simulation of sandpile formation, Physica A, 269: 536-53.
95. Bao H.R. and Z.Y. Zhao (2010) An alternative scheme for the corner-corner contact in the two-dimensional Discontinuous Deformation Analysis. Advances in Engineering Software, 41(2): 206-12.
96. Bathurst, R.J. and L. Rothenburg (1988) Micromechanical Aspects of Isotropic Granular Assemblies with Linear Contact Interactions, J. of Applied Mechanics, 55: 17-23.
97. Brach, R.M. (1989) Rigid body collisions, J. Appl. Mech., 56: 133-38.
98. Chaudhary A.B. and K.J. Bathe (1986) A solution method for static and dynamic analysis of three-dimensional contact problems with friction. Computers & Structures, 24(6): 855-73.
99. Di Renzo, A., and F.P. Di Maio (2004) Comparison of contact-force models for the simulations of collisions in DEM-based granular flow codes, Chemical Engineering Science, 59: 525-41.
100. Feng Y.T. and D.R.J. Owen (2004) A 2D polygon/polygon contact model: algorithmic aspects. Engineering Computations, 21(2/3/4): 265-77.
101. Feng Y.T., K. Han and D.R.J. Owen (2005) An energy based polyhedron-to-polyhedron to contact model. Proceedings of 3rd MIT. Conference Computational Fluid and Solid Mechanics, 210-15.
102. Greengard, L. (1988) The Rapid Evaluation of Potential Fields in Particle Systems. MIT Press, Boston, MA.
103. Johnson, K.L. (1985) Contact Mechanics, Cambridge University Press.
104. Luding, S. (1998) Collisions & contacts between two particles. Physics of dry granular media - NATO ASI Series E350, 285 Kluwer Academic Publishers.
105. Maw, N., J.R. Barber and J.N. Fawcett (1981) The role of elastic tangential compliance in oblique impact, Trans. ASME J. Lubrication Technology, 103: 74-80.
106. Mindlin, R. D. (1949) Compliance of elastic bodies in contact. J. Appl. Mech. 16: 259-68.
107. Munjiza, A., D. R. J. Owen, N. Bicanic, and L. Xian (1991) A concept of contact element in the discrete element method. Proceedings NEC-91, Intl. Conf. on Nonlinear Engineering Computations, 435-48.
108. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
109. Thornton, C. and W. Randall (1988) Applications of theoretical contact mechanics to solid particle system simulation, Micromechanics of granular materials, 133-42.
110. Thornton, C., Z. Ning, C.Y. Wu, M. Nasrulla, L.Y. Li (2001) Contact mechanic and coefficients of restitution In Granular Gases (T. Pöschel, S. Luding, eds.), Springer Berlin, 184-94.
111. Bao H.R. and Z.Y. Zhao (2010) An alternative scheme for the corner-corner contact in the two-dimensional Discontinuous Deformation Analysis. Advances in Engineering Software, 41(2): 206-12.
112. Belytschko T. and M.O. Neal (1991) Contact-impact by the pinball algorithm with penalty and Lagrangian-Methods. Int. J. Numer. Meth. Engng, 31(3): 547-72.
113. Brach, R.M. (1989) Rigid body collisions J. Appl. Mech., 56: 133-8.
114. Chaudhary A.B. and K.J. Bathe (1986) A solution method for static and dynamic analysis of three-dimensional contact problems with friction. Computers & Structures, 24(6): 855-73.
115. Cheng, Y.M., W.S. Chen and Y.H. Zhang (2006) New Approach to Determine Three-Dimensional Contacts in Blocks System: Penetration Edges Method, Int. J. Geomech. 6(5): 303-10.
116. Cundall P.A. (1988) Formulation of a three-dimensional distinct element model - Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics, 25: 107-16.
117. Di Renzo, A., and F.P. Di Maio (2004) Comparison of contact-force models for the simulations of collisions in DEM-based granular flow codes, Chemical Engineering Science, 59: 525-41.
118. Feng Y.T., K. Han and D.R.J. Owen (2005) An energy based polyhedron-to-polyhedron to contact model. Proceedings of 3rd MIT. Conference Computational Fluid and Solid Mechanics, 210-15.
119. Han, K., Y.T. Feng and D.R.J. Owen (2006) Polygon-based contact resolution for superquadrics, Int. J. Numer. Meth. Engng, 66: 485-501.
120. Johnson, K.L. (1985) Contact Mechanics, Cambridge University Press.
121. Johnson S.M., J.R. Williams and B.K. Cook (2007) On the application of quaternion-based approaches in discrete element methods Engineering Computations, 26(6): 610-20.
122. Johnson, S.M. and J.R. Williams (2007) Sub-discretized surface model with application to contact mechanics in multi-body simulation, Powder Technology, 193(3): 319-31.
123. Luding, S. (1998) Collisions & contacts between two particles. Physics of dry granular media - NATO ASI Series E350 , 285 Kluwer Academic Publishers.
124. Maw, N., J.R. Barber and J.N. Fawcett (1981) The role of elastic tangential compliance in oblique impact, Trans. ASME J. Lubrication Technology, 103: 74-80.
125. Mindlin, R.D. (1949) Compliance of elastic bodies in contact. J. Appl. Mech. 16: 259-68.
126. Munjiza, A., D.R.J. Owen, N. Bicanic and L. Xian (1991) A concept of contact element in the discrete element method. Proceedings NEC-91, Intl. Conf. on Nonlinear Engineering Computations, 435-48.
127. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
128. Thornton, C. and W. Randall (1988) Applications of theoretical contact mechanics to solid particle system simulation, Micromechanics of granular materials, 133-42.
129. Williams, J.R. and R. O'Connor (1995) A linear complexity intersection algorithm for discrete element simulation of arbitrary geometrics., Engineering Computations, 12: 185-201.
130. Wu, C.Y., C. Thornton and L.Y. Li (2009) A semi-analytical model for oblique impacts of elastoplastic spheres, Proc. Roy. Soc. London A, 465: 937-60.
131. Bao H.R. and Z.Y. Zhao (2010) An alternative scheme for the corner-corner contact in the two-dimensional Discontinuous Deformation Analysis. Advances in Engineering Software, 41(2): 206-12.
132. Belytschko T. and M.O. Neal (1991) Contact-impact by the pinball algorithm with penalty and Lagrangian-Methods. Int. J. Numer. Meth. Engng, 31(3): 547-72.
133. Brach, R.M. (1989) Rigid body collisions, J. Appl. Mech., 56: 133-8.
134. Chaudhary A.B. and K.J. Bathe (1986) A solution method for static and dynamic analysis of three-dimensional contact problems with friction. Computers & Structures, 24(6): 855-73.
135. Cheng, Y.M., W.S. Chen and Y.H. Zhang (2006) New Approach to Determine Three-Dimensional Contacts in Blocks System: Penetration Edges Method, Int. J. Geomech. 6(5): 303-10.
136. Cundall P.A. (1998) Formulation of a three-dimensional distinct element model - Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics, 25: 107-16.
137. Di Renzo, A. and F.P. Di Maio (2004) Comparison of contact-force models for the simulations of collisions in DEM-based granular flow codes, Chemical Engineering Science, 59: 525-41.
138. Feng Y.T., K. Han and D.R.J. Owen (2005) An energy based polyhedron-to-polyhedron to contact model. Proceedings of 3rd MIT. Conference Computational Fluid and Solid Mechanics, 210-15.
139. Han, K., Y.T. Feng and D.R.J. Owen (2006) Polygon-based contact resolution for superquadrics, Int. J. Numer. Meth. Engng, 66: 485-501.
140. Johnson, K.L. (1985) Contact Mechanics, Cambridge University Press.
141. Luding, S. (1998) Collisions & contacts between two particles. Physics of dry granular media - NATO ASI Series E350, 285 Kluwer Academic Publishers.
142. Mindlin, R.D. (1949) Compliance of elastic bodies in contact. J. Appl. Mech. 16: 259-68.
143. Munjiza, A., D.R.J. Owen, N. Bicanic, and L. Xian (1991) A concept of contact element in the discrete element method. Proceedings NEC-91, Intl. Conf. on Nonlinear Engineering Computations, 435-48.
144. Munjiza, A., N. Bicanic, D.R.J. Owen and Z. Ren (1991) The central difference time integration scheme in contact impact problems, Proceedings NEC-91, Intl. Conf on Nonlinear Engineering Computations, 569-76.
145. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
146. Thornton, C. and W. Randall (1988) Applications of theoretical contact mechanics to solid particle system simulation, Micromechanics of granular materials, 133-42.
147. Williams J.R. and R. O'Connor (1995) A linear complexity intersection algorithm for discrete element simulation of arbitrary geometrics. Engineering Computations, 12: 185-201.
148. Wriggers P. (2002) Computational Contact Mechanics, Chichester: John Wiley & Sons, Ltd.
149. Bao H.R. and Z.Y. Zhao (2010) An alternative scheme for the corner-corner contact in the two-dimensional Discontinuous Deformation Analysis. Advances in Engineering Software, 41(2): 206-12.
150. Belytschko T. and M.O. Neal (1991) Contact-impact by the pinball algorithm with penalty and Lagrangian-Methods. Int. J. Numer. Meth. Engng, 31(3): 547-72.
151. Brach, R.M. (1989) Rigid body collisions, J. Appl. Mech., 56: 133-8.
152. Chaudhary A.B. and K.J. Bathe (1986) A solution method for static and dynamic analysis of three-dimensional contact problems with friction. Computers & Structures, 24(6): 855-73.
153. Cheng, Y.M., W.S. Chen and Y.H. Zhang (2006) New Approach to Determine Three-Dimensional Contacts in Blocks System: Penetration Edges Method, Int. J. Geomech. 6(5): 303-10.
154. Cundall P.A. (1988) Formulation of a three-dimensional distinct element model - Part I. A scheme to detect and represent contacts in a system composed of many polyhedral blocks. International Journal of Rock Mechanics and Mining Sciences and Geomechanics, 25: 107-16.
155. Di Renzo, A., and F. P. Di Maio (2004) Comparison of contact-force models for the simulations of collisions in DEM-based granular flow codes, Chemical Engineering Science, 59: 525-41.
156. Feng Y.T., K. Han and D.R.J. Owen (2005) An energy based polyhedron-to-polyhedron to contact model. Proceedings of 3rd MIT. Conference Computational Fluid and Solid Mechanics, 210-15.
157. Han, K., Y.T. Feng and D.R.J. Owen (2006) Polygon-based contact resolution for superquadrics, Int. J. Numer. Meth. Engng, 66: 485-501.
158. Johnson, K.L. (1985) Contact Mechanics, Cambridge University Press.
159. Luding, S. (1998) Collisions & contacts between two particles. Physics of dry granular media - NATO ASI Series E350, 285 Kluwer Academic Publishers.
160. Mindlin, R.D. (1949) Compliance of elastic bodies in contact. J. Appl. Mech. 16: 259-68.
161. Munjiza, A., D.R.J. Owen, N. Bicanic, and L. Xian (1991) A concept of contact element in the discrete element method. Proceedings NEC-91, Intl. Conf. on Nonlinear Engineering Computations, 435-48.
162. Munjiza, A., N. Bicanic, D.R.J. Owen and Z. Ren (1991) The central difference time integration scheme in contact impact problems, Proceedings NEC-91, Intl. Conf on Nonlinear Engineering Computations, 569-76.
163. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
164. Thornton, C. and W. Randall (1988) Applications of theoretical contact mechanics to solid particle system simulation, Micromechanics of granular materials, 133-42.
165. Williams J.R. and R. O'Connor (1995) A linear complexity intersection algorithm for discrete element simulation of arbitrary geometrics. Engineering Computations 12: 185-201.
166. Wriggers P. (2002) Computational Contact Mechanics. Chichester: John Wiley & Sons, Ltd.
167. Lee, H.S., Y.J. Park, T.F. Cho, and K.H. You (2001) Influence of asperity degradation on the mechanical behavior of rough joints under cyclic shear loading, Intl. J. Rock Mechanics & Mining Sciences, 38: 967-80.
168. Morris, J. P. (2003) Review of rock joint models, Report UCRL-ID-153650, Lawrence Livermore National Laboratory.
169. Munjiza, A. (2004) The Combined Finite-Discrete Element Method, Chichester: John Wiley & Sons, Ltd.
170. Nguyen, T.S. and A.P.S. Selvadurai (1998) A model for coupled mechanical and hydraulic behavior of a rock joint, Intl. J. Numerical & Analytical Methods in Geomechanics 22: 29-48.
171. Olsson, R. (1998) Mechanical and hydromechanical behaviour of hard rock joints, PhD Thesis, Chalmers University of Technology, Goteborg, Sweden.
172. Olsson, R. and N. Barton (2001) An improved model for hydromechanical coupling during shearing of rocks joints Intl. J. Rock Mechanics & Mining Sciences, 38 : 317-29.
173. An, B., and D.D. Tannant (2007) Discrete element method contact model for dynamic simulation of inelastic rock impact, Computer & Geosciences, 33: 513-21.
174. Cundall, P.A. (1989) Numerical experiments on localization in frictional materials, Inginieur-Archiv , 59: 148-59.
175. Ghaboussi, J. and R. Barbosa (1988) Water Pressure Effects in Jointed Rock with Deformable Bodies, Proceeding, ASCEIEMD Specialty Conference: Mechanics of Media with Discontinuities, Blacksburg, Virginia, 1988.
176. Goodman, R.E., R.L. Taylor and T.L. Brekke (1968) A Model for the Mechanics of Jointed Rock, J. of Soil Mechanics & Foundation Division, Proc. ASCE 94 , 637.
177. Grasselli, G. (2001) Shear strength of rock joints based on quantified surface description. PhD, Ecole Polytechnique Fédérale de Lausanne at Lausanne.
178. Grasselli, G. and P. Egger (2003) Constitutive law for the shear strength of rock joints based on threedimensional surface parameters, International Journal of Rock Mechanics and Mining Sciences, 40(1142): 25-40.
179. Munjiza, A. and K.R.F. Andrews (2000) Penalty function method for combined finite discrete element systems comprising large number of separate bodies, International Journal for Numerical Methods in Engineering, 49: 1377-96.
180. Oden, J.T. and E.B. Pires (1984) Algorithms and numerical results for finite element approximations of contact problems with non-classical friction laws. Computers & Structures, 19(1-2): 137-47.
181. Potyondy, D. and P. Cundall, (2004) A bonded-particle model for rock, Int. J. Rock Mech. Min. Sci., 41(8): 1329-64.
182. Savkoor, A.R. and G.A.D. Briggs (1977) The effect of tangential force on the contact of elastic solids in adhesion. Proc. R. Soc. Lond. A. 356: l03-14.
183. Shi, G. (1992) Modelling rock joints and blocks by manifold method Proc. 33d US Symp. on Rock Mech. Tillerson & Wawersil (eds.), Balkema, Rotterdam.
184. Shilko E., S.V. Astafurov, V.V. Ruzhich and S.G. Psakhie (2010) On the feasibility of shear stress estimation at interfaces of block-structured medium, Physical Mesomechanics, 13(1-2): 25-31.
185. Tatone, B.S.A., and G. Grasselli (2009) A method to evaluate the three-dimensional roughness of fracture surfaces in brittle geomaterials, Review of Scientific Instruments, 80.
186. Munjiza, A. (2004) The Combined Finite-Discrete Element Method, Chichester: John Wiley & Sons, Ltd.
187. Munjiza, A., E. Rougier and N.W.M. John (2006) MR linear contact detection algorithm, Int. J. Numer. Meth. Eng. 66(1): 46-71.
188. Bonet, J. and J. Peraire (1991) An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems. Int. J. Numer. Meth. Eng., 31: 1-17.
189. Feng, Y.T. and D.R.J. Owen (2002) An augmented spatial digital tree algorithm for contact detection in computational mechanics. Int. J. Numer. Meth. Eng., 55: 159-76.
190. Knuth, D.E. (1998) The Art of Computer Programming (2nd edn). Addison-Wesley Professional: Reading, MA.
191. Koziara, T. and N. Bicanic (2005) Bounding box collision detection. 13th ACME Conference, University of Sheffield, Sheffield, UK.
192. Li, C.F., Y.T. Feng and D.R.J. Owen (2006) SMB: collision detection based on temporal coherence. Computer Methods in Applied Mechanics and Engineering, 195(19-22): 2252-69.
193. Munjiza, A. and K.R.F. Andrews (1998) NBS contact detection algorithm for bodies of similar size. Int. J. Numer. Meth. Eng., 43: 131-49.
194. O'Connor, R., J. Gill and J.R. Williams (1993) A linear complexity contact detection algorithm for multi-body simulation. Proceedings of the 2nd U.S. Conference on Discrete Element Methods.
195. Oldenburg, M. and L. Nilsson (1994) The position code algorithm for contact searching. Int. J. Numer. Meth. Eng., 37: 359-86.
196. Owen, D.R.J., Y.T. Feng, M.G. Cottrel, and J. Yu (2002) Discrete/finite element modelling of industrial applications with multi-fracturing and particulate phenomena. Proceedings of the 3rd International Conference on Discrete Element Methods.
197. Perkins, P. and J.R. Williams (2001) Cgrid; Neighbor searching for many body simulation, ICADD-4, 427-38.
198. Perkins, E. and J.R. Williams (2002) Generalized spatial binning of bodies of different sizes. Proceedings of the 3rd International Conference on Discrete Element Methods.
199. Podgorelec, D. and G. Klajnšek (2005) Acceleration of sweep-line technique by employing smart quicksort. Information Sciences, 169: 383-408.
200. Preece, D.S. and S.H. Chung (2002) An algorithm for improving 2-D and 3-D spherical element behavior during formation of muck piles resulting from rock blasting. Proceedings of the 3rd International Conference on Discrete Element Methods.
201. Williams, J.R., E. Perkins and B. Cook (2004) A contact algorithm for partitioning N arbitrary sized objects, Eng. Computations, 21(2/3/4): 235-48.
202. Bentley, J.L. (1975) Multidimensional binary search trees used for associative searching, Commun. ACM, 18(9): 509-17.
203. Bonet, J. and J. Peraire (1991) An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems. Int. J. Numer. Meth. Eng., 31: 1-17.
204. Cleary, P.W., N. Stokes and J. Hurley (1997) Efficient collision detection for three dimensional super-ellipsoid particles, Proc. 8th International Computational Techniques and Applications Conference, Adelaide.
205. Feng, Y.T. and D.R.J. Owen (2002) An augmented spatial digital tree algorithm for contact detection in computational mechanics. Int. J. Numer. Meth. Eng., 55: 159-76.
206. He, K., S. Dong and Z. Zhou (2007) Multigrid contact detection method, Physical Review E, 75: 036710.
207. Knuth, D.E. (1998) The Art of Computer Programming (2nd edn). Addison-Wesley Professional: Reading, MA.
208. Koziara, T. and N. Bicanic (2005) Bounding box collision detection. 13th ACME Conference, University of Sheffield, Sheffield, U.K.
209. Li, C.F., Y.T. Feng and D.R.J. Owen (2006) SMB: collision detection based on temporal coherence. Computer Methods in Applied Mechanics and Engineering, 195(19-22): 2252-69.
210. Munjiza, A. and K.R.F. Andrews (1998) NBS contact detection algorithm for bodies of similar size. Int. J. Numer. Meth. Eng., 43: 131-49.
211. Munjiza, A., E. Rougier and N.W.M. John (2006) MR linear contact detection algorithm, Int. J. Numer. Meth. Eng., 66(1): 46-71.
212. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
213. Nezami, E.G., Y.M.A. Hashash, D. Zhao and J. Ghaboussi (2006) Shortest link method for contact detection in discrete element method, Int. J. Numer. Anal. Meth. Geomech., 30: 783-801.
214. O'Connor, R., J. Gill and J.R. Williams (1993) A linear complexity contact detection algorithm for multi-body simulation. Proceedings of the 2nd U.S. Conference on Discrete Element Methods.
215. Oldenburg, M. and L. Nilsson (1994) The position code algorithm for contact searching. 3, 37: 359-86.
216. Perkins, P. and J.R. Williams (2001) Cgrid; Neighbor searching for many body simulation, ICADD-4, 7.
217. Perkins, E. and J.R. Williams (2002) Generalized spatial binning of bodies of different sizes. Proceedings of the 3rd International Conference on Discrete Element Methods.
218. Peters, J.F., R. Kala, and R.S. Maier (2009) A hierarchical search algorithm for discrete element method of greatly differing particle sizes, Engineering Computations, 26(6): 621-34.
219. Podgorelec, D. and G. Klajnšek (2005) Acceleration of sweep-line technique by employing smart quicksort. Information Sciences, 169: 383-408.
220. Williams, J.R., E. Perkins and B. Cook (2004) A contact algorithm for partitioning N arbitrary sized objects, Eng. Computations, 21(2/3/4): 235-48.
221. Bonet, J. and J. Peraire (1991) An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems. Int. J. Numer. Meth. Eng., 31: 1-17.
222. Cleary, P.W., N. Stokes and J. Hurley (1997) Efficient collision detection for three dimensional super-ellipsoid particles, Proc. 8th International Computational Techniques and Applications Conference, Adelaide.
223. Feng, Y.T. and D.R.J. Owen (2002) An augmented spatial digital tree algorithm for contact detection in computational mechanics. Int. J. Numer. Meth. Eng., 55: 159-76.
224. He, K., S. Dong and Z. Zhou (2007) Multigrid contact detection method, Physical Review E, 75: 036710.
225. Knuth, D.E., (1998) The Art of Computer Programming (2nd edn). Addison-Wesley Professional: Reading, MA.
226. Koziara, T. and N. Bicanic (2005) Bounding box collision detection. 13th ACME Conference, University of Sheffield, Sheffield, U.K.
227. Kremmer, M. and J.F. Favier (2001) A method for representing boundaries in discrete element modelling - part I: Geometry and contact detection, Int. J. Numer. Meth. Eng., 51(12): 1407-21.
228. Li, C.F., Y.T. Feng and D.R.J. Owen (2006) SMB: collision detection based on temporal coherence. Computer Methods in Applied Mechanics and Engineering, 195(19-22): 2252-69.
229. Munjiza, A. and K.R.F. Andrews (1998) NBS contact detection algorithm for bodies of similar size. Int. J. Numer. Meth. Eng., 43: 131-49.
230. Munjiza, A., E. Rougier and N.W.M. John (2006) MR linear contact detection algorithm, Int. J. Numer. Meth. Eng., 66(1): 46-71.
231. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
232. Nezami, E.G., Y.M.A. Hashash, D. Zhao and J. Ghaboussi (2006) Shortest link method for contact detection in discrete element method, Int. J. Numer. Anal. Meth. Geomech., 30: 783-801.
233. O'Connor, R., J. Gill and J.R. Williams (1993) A linear complexity contact detection algorithm for multi-body simulation. Proceedings of the 2nd U.S. Conference on Discrete Element Methods.
234. Oldenburg, M. and L. Nilsson (1994) The position code algorithm for contact searching. 3, 37: 359-86.
235. Owen, D.R.J., Y.T. Feng, M.G. Cottrel, and J. Yu (2002) Discrete/finite element modelling of industrial applications with multi-fracturing and particulate phenomena. Proceedings of the 3rd International Conference on Discrete Element Methods.
236. Perkins, P. and J.R. Williams (2001) Cgrid; Neighbor searching for many body simulation, ICADD-4, 427-38.
237. Perkins, E. and J.R. Williams (2002) Generalized spatial binning of bodies of different sizes. Proceedings of the 3rd International Conference on Discrete Element Methods.
238. Peters, J.F., R. Kala, and R.S. Maier (2009) A hierarchical search algorithm for discrete element method of greatly differing particle sizes, Engineering Computations, 26(6): 621-34.
239. Podgorelec, D. and G. Klajnšek (2005) Acceleration of sweep-line technique by employing smart quicksort. Information Sciences, 169: 383-408.
240. Preece, D.S. and S.H. Chung (2002) An algorithm for improving 2-D and 3-D spherical element behavior during formation of muck piles resulting from rock blasting. Proceedings of the 3rd International Conference on Discrete Element Methods.
241. Williams, J.R., E. Perkins and B. Cook (2004) A contact algorithm for partitioning N arbitrary sized objects, Eng. Computations, 21(2/3/4): 235-48.
242. Bonet, J. and J. Peraire (1991) An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems. Int. J. Numer. Meth. Eng., 31: 1-17.
243. Cleary, P.W., N. Stokes and J. Hurley (1997) Efficient collision detection for three dimensional super-ellipsoid particles, Proc. 8th International Computational Techniques and Applications Conference, Adelaide.
244. Feng, Y.T. and D.R.J. Owen (2002) An augmented spatial digital tree algorithm for contact detection in computational mechanics. Int. J. Numer. Meth. Eng., 55: 159-76.
245. He, K., S. Dong and Z. Zhou (2007) Multigrid contact detection method, Physical Review E, 75: 7.
246. Knuth, D.E., (1998) The Art of Computer Programming (2nd edn). Addison-Wesley Professional: Reading, MA.
247. Koziara, T. and N. Bicanic (2005) Bounding box collision detection. 13th ACME Conference, University of Sheffield, Sheffield, U.K.
248. Kremmer, M. and J.F. Favier (2001) A method for representing boundaries in discrete element modelling - part I: Geometry and contact detection, Int. J. Numer. Meth. Eng., 51(12): 1407-21.
249. Li, C.F., Y.T. Feng and D.R.J. Owen (2006) SMB: collision detection based on temporal coherence. Computer Methods in Applied Mechanics and Engineering, 195(19-22): 2252-69.
250. Munjiza, A. and K.R.F. Andrews (1998) NBS contact detection algorithm for bodies of similar size. Int. J. Numer. Meth. Eng., 43: 131-49.
251. Munjiza, A., E. Rougier and N.W.M. John (2006) MR linear contact detection algorithm, Int. J. Numer. Meth. Eng., 66(1): 46-71.
252. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
253. Nezami, E.G., Y.M.A. Hashash, D. Zhao and J. Ghaboussi (2006) Shortest link method for contact detection in discrete element method, Int. J. Numer. Anal. Meth. Geomech., 30: 783-801.
254. O'Connor, R., J. Gill and J.R. Williams (1993) A linear complexity contact detection algorithm for multi-body simulation. Proceedings of the 2nd U.S. Conference on Discrete Element Methods.
255. Oldenburg, M. and L. Nilsson (1994) The position code algorithm for contact searching. Int. J. Numer. Meth. Eng., 37: 359-86.
256. Owen, D.R.J., Y.T. Feng, M.G. Cottrel, and J. Yu (2002) Discrete/finite element modelling of industrial applications with multi-fracturing and particulate phenomena. Proceedings of the 3rd International Conference on Discrete Element Methods.
257. Perkins, P. and J.R. Williams (2001) Cgrid; Neighbor searching for many body simulation, ICADD-4, 427-38.
258. Perkins, E. and J.R. Williams (2002) Generalized spatial binning of bodies of different sizes. Proceedings of the 3rd International Conference on Discrete Element Methods.
259. Peters, J.F., R. Kala, and R.S. Maier (2009) A hierarchical search algorithm for discrete element method of greatly differing particle sizes, Engineering Computations, 26(6): 621-34.
260. Podgorelec, D. and G. Klajnšek (2005) Acceleration of sweep-line technique by employing smart quicksort. Information Sciences, 169: 383-408.
261. Preece, D.S. and S.H. Chung (2002) An algorithm for improving 2-D and 3-D spherical element behavior during formation of muck piles resulting from rock blasting. Proceedings of the 3rd International Conference on Discrete Element Methods.
262. Williams, J.R., E. Perkins and B. Cook (2004) A contact algorithm for partitioning N arbitrary sized objects, Eng. Computations, 21(2/3/4): 235-48.
263. Bonet J. and J. Peraire (1991) An alternating digital tree (ADT) algorithm for 3D geometric searching and intersection problems. Int. J. Numer. Meth. Eng., 31: 1-17.
264. Cleary, P.W. N. Stokes and J. Hurley (1997) Efficient collision detection for three dimensional super-ellipsoid particles, Proc. 8th International Computational Techniques and Applications Conference, Adelaide.
265. Feng Y.T. and D.R.J. Owen (2002) An augmented spatial digital tree algorithm for contact detection in computational mechanics. Int. J. Numer. Meth. Eng., 55: 159-76.
266. He, K., S. Dong and Z. Zhou (2007) Multigrid contact detection method. Physical Review E, 75: 036710.
267. Knuth D.E. (1998) The Art of Computer Programming (2nd edn). Addison-Wesley Professional: Reading, MA.
268. Koziara T. and N. Bicanic (2005) Bounding box collision detection. 13th ACME Conference, University of Sheffield, Sheffield, U.K.
269. Kremmer, M. and J.F. Favier (2001) A method for representing boundaries in discrete element modelling - part I: Geometry and contact detection, Int. J. Numer. Meth. Eng., 51(12): 1407-21.
270. Li C.F., Y.T. Feng and D.R.J. Owen (2006) SMB: collision detection based on temporal coherence. Computer Methods in Applied Mechanics and Engineering, 195(19-22): 7.
271. Munjiza A. and K.R.F. Andrews (1998) NBS contact detection algorithm for bodies of similar size. Int. J. Numer. Meth. Eng., 43: 131-49.
272. Munjiza, A., E. Rougier and N.W.M. John (2006) MR linear contact detection algorithm. Int. J. Numer. Meth. Eng., 66(1): 46-71.
273. Munjiza, A. (2004) The combined finite-discrete element method, Chichester: John Wiley and Sons, Ltd.
274. Nezami, E.G., Y.M.A. Hashash, D. Zhao and J. Ghaboussi, (2006) Shortest link method for contact detection in discrete element method, Int. J. Numer. Anal. Meth. Geomech., 30: 783-801.
275. O'Connor, R., J. Gill and J.R. Williams (1993) A linear complexity contact detection algorithm for multi-body simulation. Proceedings of the 2nd U.S. Conference on Discrete Element Methods.
276. Oldenburg M. and L. Nilsson (1994) The position code algorithm for contact searching. Int. J. Numer. Meth. Eng., 37: 359-86.
277. Owen D.R.J., Y.T. Feng, M.G. Cottrel, and J. Yu (2002) Discrete/finite element modelling of industrial applications with multi-fracturing and particulate phenomena. Proceedings of the 3rd International Conference on Discrete Element Methods.
278. Perkins, P. and J.R. Williams (2001) Cgrid; Neighbor searching for many body simulation, ICADD-4, 427-38.
279. Perkins E. and J.R. Williams (2002) Generalized spatial binning of bodies of different sizes. Proceedings of the 3rd International Conference on Discrete Element Methods.
280. Peters, J.F., R. Kala, and R.S. Marier (2009) A hierarchical search algorithm for discrete element method of greatly differing particle sizes, Engineering Computations, 26(6): 621-34.
281. Podgorelec D. and G. Klajnšek (2005) Acceleration of sweep-line technique by employing smart quicksort. Information Sciences, 169: 383-408.
282. Preece D.S. and S.H. Chung (2002) An algorithm for improving 2-D and 3-D spherical element behavior during formation of muck piles resulting from rock blasting. Proceedings of the 3rd International Conference on Discrete Element Methods.
283. Williams, J.R., E. Perkins and B. Cook (2004) A contact algorithm for partitioning N arbitrary sized objects, Eng. Computations, 21(2/3/4): 235-48.
284. Crownie, J. (2007) Building High Performance Threaded Applications using Libraries. Presented at Parallel Architectures and Compilation Techniques (PACT).
285. Curry, D., E. Mourao and R. LaRoche (2010) Calibration of DEM Material Models using Optimisation Method in a Grid Parallel System Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
286. Goniva, C., C. Kloss and S. Pirker (2009) Towards fast parallel CFD-DEM: An Open-Source Perspective, Proc. Open Source CFD International Conference, Barcelona.
287. Gropp, W., E. Lusk and A. Skjellum (1999) Using MPI: Portable Parallel Programming With the Message-Passing Interface, 8.
288. Heyn, T., A. Tasora, M. Anitescu, and D. Negrut (2009) A Parallel Algorithm for Solving Complex Multibody Problems With Stream Processors, ASME Conf. Proc. 2009 , 1517.
289. Hromnik, M. and I. Govender (2010) Large scale GPGPU implementation of the discrete element method applied to modeling the environment in the positron emission particle tracking experiment, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
290. Lukas, T. and A. Munjiza (2010) Parallelization of an Open-Source FEM/DEM Code Y2D, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
291. Ma, Z., C. Feng, T. Liu and S. Li (2010) A GPU Accelerated Continuous-Based Discrete Element Method for Elastodynamics Aanalysis, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
292. Mourao, E., D. Curry and R. LaRoche (2010) Grid Parallel Computing Sysytem for Calibration of DEM Material Models, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
293. Nelson, M.T., W. Humphrey, A. Gursoy, A. Dalke, L.V. Kale, R.D. Skeel and K. Schulten (1996) NAMD: a parallel, object-oriented molecular dynamics program, International Journal of High Performance Comp. Applications, 10: 251-68.
294. NVIDIA (2008) On accelerating financial applications using CUDA GPU technology, The HP and NVIDIA Seminar at Security Industry Technology Show (SIFMA), Hilton, New York, US.
295. Owen, D.R.J. and Y.T. Feng (2001) Parallelised finite/discrete element simulation of multi-fracturing solids and discrete systems, Engineering Computations, 18(3/4): 557-76.
296. Pacheco, P.S. (1997) Parallel Programming with MPI, Morgan Kaufmann Publishers.
297. Plimpton, S. J. (1995) Fast Parallel Algorithms for Short-Range Molecular Dynamics, J. Comp. Phys., 117: 1-19.
298. Radeke, A.C. and J.G. Khinast (2010) Wet-Mixing of Powders, A Large-Scale GPU Implementation, Proceedings of Fifth International Conference on Discrete Element Methods, London, UK.
299. Sbalzarini, I.F., J.H. Walther, M. Bergdorf, S. E. Hieber, E. M. Kotsalis and P. Koumoutsakos (2006) PPM - a highly efficient parallel particle-mesh library for the simulation of continuum systems, Journal of Computational Physics 215(2): 566-88.
300. Wang, F., Y.T. Feng and D.R.J. Owen (2004) Parallelisation for finite-discrete element analysis in a distributedmemory environment, Int. J. Comp. Eng. Sci., 5(1): 1-23.
301. Walther, J.H., and I.F. Sbalzarini (2009) Large-scale parallel discrete element simulations of granular flow, Engineering Computations, 26: 688-97.