Strategies for contact resolution of level surfaces

Engineering Computations (Swansea, Wales)

Volumn 21, Issue 2-4, 2004, Pages 137-150

  Tijskens, E ^a   De Baerdemaeker, J ^a   Ramon, H ^a  

^a UNIVERSITY OF LEUVEN   (Belgium)

Author keywords

Discrete manufacturing; Modelling; Numerical analysis

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FINITE DIFFERENCE METHOD; GRANULAR MATERIALS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PROBLEM SOLVING; STIFFNESS; VISCOELASTICITY;

DISCRETE ELEMENT METHOD (DEM); DISCRETE MANUFACTURING; MODELING;

COMPUTATIONAL GEOMETRY;

EID: 2942581054     PISSN: 02644401     EISSN: None     Source Type: Journal    
DOI: 10.1108/02644400410519712     Document Type: Conference Paper

References (19)

1. Cleary, P.W. (2002), "Large scale industrial DEM modelling", in Cook, B.K. and Jensen, R.P. (Eds), Discrete Element Methods - Numerical Modeling of Discontinua, American Society of Civil Engineers, Geotechnical Special Publication, No. 117, pp. 361-6.
2. Cleary, P.W. and Sawley, M. (2002), "DEM modelling of industrial granular flows: 3D case studies and the effect of particle shape on hopper discharge", Applied Mathematical Modelling, Vol. 26 No. 2, pp. 89-111
3. Cleary, P.W., Stokes, N. and Hurley, J. (1997), "Efficient collision detection for three dimensional super-ellipsoid particles", Proceedings of 8th International Computational Techniques and Applications Conference CTAC97, World Scientific, Adelaide, Australia.
4. Corliss, G., Faure, C., Griewank, A., Hascoët, L. and Nauman, U. (2002), Automatic Differentiation of Algorithms - From Simulation to Optimisation, Springer-Verlag, Berlin.
5. Duran, J. (2000), Sands, Powders, and Grains: An Introduction to the Physics of Granular Materials, Springer-Verlag, Berlin.
6. Favier, J.F., Abbaspour-Fard, M.H., Kremmer, M. and Raji, A.O. (1999), "Shape representation of (axisymmetrical), non-spherical particles in discrete element simulation using multi-element model particles", Engineering Computations: International Journal for CAE and Software.
7. Griewank, A. (2000), Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation, SIAM, Philadelphia.
8. Johnson, K.L. (1985), Contact Mechanics, Cambridge University Press, New York, NY.
9. Kelley, C.T. (1995), Iterative Methods for Linear and Nonlinear Equations, SIAM, Philadelphia, PA.
10. Kuwabara, G. and Kono, K. (1987), "Restitution coefficient in a collision between 2 spheres", Jap. J. Appl. Phys., Vol. 26 No. 8, pp. 1230-3.
11. Lin, M.C. and Gottschalk, S. (1998), "Collision detection between geometric models: a survey", Proceedings of IMA Conference on Mathematics of Surfaces.
12. Middleton, P. (1997), "Taking a bite from your profits?", Bulk Handling International, pp. 3940.
13. Tijskens, E., De Baerdemaeker, J. and Ramon, H. (2004a), "FastDer++, efficient automatic differentiation for nonlinear PDE solvers", Mathematics and Computers in Simulation (in press).
14. Tijskens, E., Ramon, H. and De Baerdemaeker, J. (2002a), "Efficient operator overloading AD for solving nonlinear PDEs", in Corliss, G., Faure, C., Griewank, A., Hascoët, L. and Nauman, U. (Eds), Automatic Differentiation of Algorithms - From Simulation to Optimisation, Springer-Verlag.
15. Tijskens, E., Ramon, H. and De Baerdemaeker, J. (2002b), "Contact resolution for general level surfaces using automatic differentiation", in Cook, B.K. and Jensen, R.P. (Eds) Discrete Element Methods - Numerical Modeling of Discontinua, Geotechnical Special Publication, No. 117, American Society of Civil Engineers, pp. 68-73.
16. Tijskens, E., Ramon, H. and De Baerdemaeker, J. (2004b), "Discrete element modelling for process simulation in agriculture", Journal of Sound and Vibration, Vol. 266, pp. 493-514
17. Tijskens, E., Roose, D., Ramon, H. and De Baerdemaeker, J. (2002c), "Automatic differentiation for solving nonlinear partial differential equations: an efficient operator overloading approach", Numerical Algorithms, Vol. 30, pp. 259-301.
18. Tijskens, E., Van Zeebroeck, M., Ramon, H., De Baerdemaeker, J. and Van Canneyt, T. (2002d), "DEM modeling of agricultural processes: an overview of recent projects", in Konietzky, H. (Ed.), Numerical Modeling in Micromechanics via Particle Methods, Balkema, Rotterdam, pp. 87-92.
19. Zhang, X. and Vu-Quoc, L. (2000), "Simulation of chute flow of soybeans using an improved tangential force-displacement model", Mechanics of Materials, Vol. 32 No. 2, pp. 115-29.