A new algorithm to model the dynamics of 3-D bonded rigid bodies with rotations

Acta Geotechnica

Volumn 4, Issue 2, 2009, Pages 117-127

  Wang, Yucang ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Bonded rigid bodies; Decomposition of 3 D finite rotations; Quaternion

Indexed keywords

ALGORITHM; DECOMPOSITION ANALYSIS; NUMERICAL MODEL;

EID: 67349087259     PISSN: 18611125     EISSN: 18611133     Source Type: Journal    
DOI: 10.1007/s11440-008-0072-1     Document Type: Article

References (27)

1. Allen MA, Tildesley DJ (1987) Computer simulation of liquid. Oxford Science, Oxford
2. R Baranowski M Thachuk 1999 Mobilities of NO+ drifting in helium: a molecular dynamics study J Chem Phys 110 11383 11389
3. OA Bauchau L Trainelli 2003 The vectorial parameterization of rotation Nonlinear Dyn 32 71 92
4. SR Buss 2000 Accurate and efficient simulation of rigid-body rotations J Comp Phys 164 377 406
5. BD Coleman WK Olson D Swigon 2003 Theory of sequence-dependent DNA elasticity J Chem Phys 115 7127 7140
6. PA Cundall ODL Stack 1979 A discrete numerical model for granular assemblies Geotechnique 29 47 65 (Pubitemid 9433658)
7. A Dullweber AB Leimkuhler R McLachlan 1997 Symplectic splitting methods for rigid-body molecular dynamic J Chem Phys 107 5840 5851 (Pubitemid 127568823)
8. DJ Evans 1977 On the representation of orientation space Mol Phys 34 317 325
9. DJ Evans S Murad 1977 Singularity free algorithm for molecular dynamic simulation of rigid polyatomice Mol Phys 34 327 331
10. D Fincham 1992 Leapfrog rotational algorithm Mol Simul 8 165 178
11. Goldstein H (1990) Classical mechanics, 2nd edn. Addison-Wesley, Reading
12. K Iwashita M Oda 1998 Rolling resistance at contacts in simulation of shear band development by DEM J Eng Mech 124 285 292
13. MJ Jiang HS Yu D Harris 2005 A novel discrete element model for granular material incorporating rolling resistance Comput Geotech 32 340 357 (Pubitemid 41131384)
14. Johnson S, Willaims J, Cook B (2007) Quaternion-based approach for integration finite rotational motion. The proceedings of the 4th international conference on Discrete Element Method August, 2007, Brisbane, Australia, pp 27-29
15. A Kol BB Laird BJ Leimkuhler 1997 A symplectic method for rigid-body molecular simulation J Chem Phys 107 2580 2588 (Pubitemid 127603640)
16. Kuipers JB (1998) Quaternion and rotation sequences. Princeton University Press, Princeton
17. TF Miller III Eleftheriou MP Pattnaik Vdirango AD Newns 2002 Symplectic quaternion scheme for biophysical molecular dynamic J Chem Phys 116 8649 8659 (Pubitemid 34631413)
18. P Mora D Place 1994 Simulation of the friction stick-slip instability Pure Appl Geophys 143 61 87
19. A Munjiza JP Latham NWM John 2003 3D dynamics of discrete element systems comprising irregular discrete elements-integration solution for finite rotations in 3D Int J Numer Meth Eng 56 35 55 (Pubitemid 36080888)
20. IP Omelyan 1998 Algorithm for numerical integration of the rigid-body equations of motion Phys Rev E 58 1169 1172 (Pubitemid 128596155)
21. IP Omelyan 1998 On the numerical integration of motion for rigid polyatomics: the modified quaternion approach J Comp Phys 12 97 103
22. IP Omelyan 1998 Numerical integration of the equation of motion for rigid polyatomics: the matrix method Comput Phys Commun 109 171 183 (Pubitemid 128389611)
23. D Place P Mora 1999 The lattice solid model to simulate the physics of rocks and earthquakes: incorporation of friction J Comp Phys 150 332 372
24. D Potyondy P Cundall 2004 A bonded-particle model for rock Int J Rock Mech Min Sci 41 1329 1364 (Pubitemid 39615643)
25. Rapaport DC (1995) The art of molecular dynamic simulation. Cambridge University press, Cambridge
26. YC Wang S Abe S Latham P Mora 2006 Implementation of particle-scale rotation in the 3-D lattice solid model Pure Appl Geophys 163 1769 1785 (Pubitemid 44613074)
27. Wang YC, Mora P (2008) Modeling wing crack extension: implications to the ingredients of discrete element model. Pure Appl Geophys (in print)