On the central difference algorithm in discrete element modelling of impact

International Journal for Numerical Methods in Engineering

Volumn 64, Issue 14, 2005, Pages 1959-1980

  Feng, Y T ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Central difference; Discrete element; Impact; Numerical stability

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; DYNAMICS; INTEGRATION; MATHEMATICAL MODELS;

CENTRAL DIFFERENCE; DISCRETE ELEMENT MODELLING; IMPACT;

FINITE DIFFERENCE METHOD;

IMPACT;

EID: 28844492832     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.1443     Document Type: Article

References (11)

1. Cundall PA, Strack ODL. A discrete numerical model for granular assemblies. Geotechnique 1979; 29(1): 47-65.
2. Owen DRJ, Feng YT, de Souza Neto EA, Cottrell MG, Wang F. Andrade Pires FM, Yu J. The modelling of multi-fracturing solids and particulate media. International Journal for Numerical Methods in Engineering 2004; 60(1):317-339.
3. Yu J. A contact interaction framework for numerical simulation of multi-body problems and aspects of damage and fracture for brittle materials. Ph.D. Thesis, University of Wales Swansea, 1999.
4. Han K, Perić D, Owen DRJ, Yu J. A combined finite/discrete element simulation of shot peening process. Part II: 3D interaction laws. Engineering Computations 2000; 17(6/7):683-702.
5. Belytschko T, Liu WK, Moran B. Nonlinear Finite Elements for Continua and Structures. Wiley: Chichester, U.K., 2000.
6. Belytschko T, Neal MO. Contact-impact by the pinball algorithm with penalty and Lagrangian-methods. International Journal for Numerical Methods in Engineering 1991; 31(3):547-572.
7. Laursen TA, Chawla V. Design of energy conserving algorithms for frictionless dynamic/contact problem. International Journal for Numerical Methods in Engineering 1997; 40:863-886.
8. Armero F, Petocz E. Formulation and analysis of conserving algorithms for frictionless dynamic/impact problems. Computer Methods in Applied Mechanics and Engineering 1998; 158(3-4):269-300.
9. Laursen TA, Love GR. Improved implicit integrators for transient impact problems-geometric admissibility within conserving framework. International Journal for Numerical Methods in Engineering 2002; 53: 245-274.
10. Wriggers P. Computational Contact Mechanics. Wiley: Chichester, U.K., 2002.
11. Brach RM. Mechanical Impact Dynamics: Rigid Body Collisions. Wiley: New York, U.S.A., 1990.