A new algorithm for contact detection between convex polygonal and polyhedral particles in the discrete element method
Tài liệu tham khảo
Baena, 2011, Using the analytic center in the feasibility pump, Oper Res Lett, 39, 310, 10.1016/j.orl.2011.07.005
Boyd SP, Vandenberghe L. Website for source code examples in convex optimization; 2004. <http://www.stanford.edu/~boyd/cvxbook/cvxbook_examples/>.
Boyd, 2004
Boyd, 2007, Fast computation of optimal contact forces, IEEE Trans Robotic, 23, 1117, 10.1109/TRO.2007.910774
Chang, 2008, A non-iterative derivation of the common plane for contact detection of polyhedral blocks, Int J Numer Meth Eng, 74, 734, 10.1002/nme.2174
CPLEX. User’s manual: IBM ILOG CPLEX 9.0; 2003.
Goodman, 1989
Gill, 1982
Hart, 1988, Formulation of a three-dimensional distinct element model – Part II. Mechanical calculations for motion and interaction of a system composed of many polyhedral blocks, Int J Rock Mech Min Sci Geomech Abstr, 25, 117, 10.1016/0148-9062(88)92294-2
Itasca. 3DEC (3 Dimensional Distinct Element Code) User’s manual; 2007.
Kozicki, 2008, A new open-source software developed for numerical simulations using discrete modeling methods, Comput Methods Appl Mech Eng, 197, 4429, 10.1016/j.cma.2008.05.023
Kuipers, 2002
Nezami, 2006, Shortest link method for contact detection in discrete element method, Int J Numer Anal Meth Geomech, 30, 783, 10.1002/nag.500
Smith KC, Fisher TS, Alam M. Quasi-static compaction of polyhedra by the discrete element method. Powder and grains 2009. In: Nakagawa M, Luding S, editors. Proceedings of the 6th international conference on micromechanics of granular media; 2009. p. 90–3.
Starfield, 1988, Towards a methodology for rock mechanics modelling, Int J Rock Mech Min Sci Geomech Abstr, 25, 99, 10.1016/0148-9062(88)92292-9
Wächter, 2006, On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Math Program, 106, 25, 10.1007/s10107-004-0559-y
Williams, 1995, Linear complexity intersection algorithm for discrete element simulation of arbitrary geometries, Eng Comput, 12, 185, 10.1108/02644409510799550
Ye, 1997
Hoek, 1974