TECHNICAL PAPERS
Jan 1, 1999

Numerical Modeling of Silo Filling. I: Continuum Analyses

Publication: Journal of Engineering Mechanics
Volume 125, Issue 1

Abstract

Two main computational methods have been used in recent years to model the behavior of particulate solids in silos. These are the finite element method and the discrete element method. To assess the current state of the art in the two methods applied to silo problems, and to evaluate their capabilities without bias, an international collaborative project was set up to compare predictions of several silo phenomena. The first of these computational challenges was deemed the simplest: that of filling a silo or container with particulate solid. This paper presents an overview of the findings of this first problem, based on a total of 38 independent calculations. Here the collaborative project is briefly outlined and some deduced outcomes from calculations by continuum analysts are compared. The results of discrete element calculations are described in a companion paper, which also compares the two methods and comments on their strengths and weaknesses.

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References

1.
ABAQUS user's manual (1994). ABAQUS/Standard Users's Manual, Volume 1, Version 5.4, Hibbitt, Karlsson, and Sorenson Pawtucket, R. I.
2.
ANSYS ( 1997). ANSYS commands reference—release 5.4. ANSYS Inc., Canonsburg, Pa.
3.
Boyce, H. R. ( 1980). “A non-liner model for the elastic behaviour of granular material under repeated loading.” Int. Symp. on Soils under Cyclic and Transient Loading. Swansea, U.K.
4.
Carter, J. P., Booker, J. R. and Davis, E. H. ( 1977). “Finite deformation of an elasto-plastic soil.” Int. J. Numer. and Analytical Methods in Geomech., 1, 25–43.
5.
Davis, E. H. ( 1969). Theories of plasticity: Selected topics in geotechnical engineering, I. H. Lee, ed., Butterworths, London.
6.
El-Sawy, K. and Moore, I. D. ( 1995). “A two-level iterative FE technique for rigorous solution of non-linear interaction problem under large deformations.” Geotechnical Research Centre, Rep. GEOT-4-95, University of Western Ontario, Canada.
7.
Gaylord, E. H., and Gaylord C. N. ( 1984). Design of steel bins for storage of bulk solids. Prentice Hall, Englewood Cliffs, N.J.
8.
Guaita, M., Ayuga, F., and Aguado, P. ( 1996). “Aplicacion del metodo de los elementos finitos en la estimacion de empujes estaticos sobre las paredes de los silos.” Proc., 3rd Congreso Internacional de Ingenieria de Proyectos, Barcelona, Spain.
9.
Holst, J. M. F. G., Rotter, J. M., Ooi, J. Y., and Rong, G. H., eds. ( 1997). “Discrete particle and continuum modelling of particulate solids in silos: Silo filling.” Final Report, Department of Civil and Environmental Engineering, Report R97-7, University of Edinburgh, U.K.
10.
Holst, J. M. F. G., Rotter, J. M., Ooi, J. Y., and Rong, G. H. (1999). “Numerical modeling of silo filling. II: Discrete element analyses.”J. Engrg. Mech., ASCE, 125(1), 104–110.
11.
Jaky, J. ( 1948). “Pressures in silos.” Proc., 2nd Int. Conf. of Soil Mech. and Found. Engrg., 1, 103–107.
12.
Janbu, N. ( 1963). “Soil compressibility as determined by oedometer and triaxial tests.” Proc., European Conf. on Soil Mech. and Found. Engrg., 1, 19–25.
13.
Janssen, H. A. ( 1895). “Versuche über Getreidedruck in Silozellen.” Zeitschrift des Vereins Deutscher Ingenieure, Vol. 39, No. 35, 1045–1049.
14.
Jenike, A. W., and Johanson, J. R. (1968). “Bin loads.”J. Struct. Div., ASCE, 94, 1011–41.
15.
Kodikara, J. K., and Moore, I. D. ( 1993). “A general interaction analysis for large deformations.” Int. J. Numer. Methods in Engrg., 36, 2863–2876.
16.
Lade, P. V. ( 1977). “Elasto-plastic stress strain theory for cohesionless soil with curved yield surface.” Int. J. Solids and Struct., 13, 1019–1035.
17.
Lehmann L. ( 1996). “Numerische Simulation der Spannungs—und Geschwindigkeitsfelder in Silos mit Einbauten.” Braunschweiger Schriften zur Mechanik, Heft 25, Inst. für Angewandte Mechanik, Technische Universität Braunschweig, Braunschweig, Germany.
18.
Ooi, J. Y., and Rotter, J. M. ( 1990). “Wall pressures in squat steel silos from finite element analysis.” Comp. and Struct., 37, 361–374.
19.
Ragneau, E. ( 1993). “Modélisation numérique et nouvelles méthodes analytiques pour le calcul des actions dans les silos cylindro-coniques (remplissage et vidange),” Thèse de Doctorat, INSA Rennes, France.
20.
Ragneau, E., Aribert, J. M., and Sanad, A. M. ( 1994). “Modélisation numérique par élément finis tridimensionnel pour le calcul des actions dans aux parois des silos (remplissage et vidange).” Construction Métallique, 2.
21.
Rombach, G. A. ( 1991). Schüttguteinwirkungen auf Silozellen—exzentrische Entleerung, Heft 14, Institut für Massivbau und Baustofftechnologie, Universität Karlsruhe, Karlsruhe, Germany.
22.
Rong, G. H. ( 1994). “Discrete element modelling for flow of particulate materials in bins,” Doctoral dissertation, University of Guelph, Canada.
23.
Rotter, J. M. ( 1998). “Challenges for the future in numerical simulation.” Silos: Research and theory, C. J. Brown and J. Nielsen, eds., CA-Silo, Elsevier Science, Amsterdam, Holland, 450–475.
24.
Runesson, K., Klisinski, M., and Larsson, R. ( 1993). “Formulation and implementation of conditions for frictional contact.” Engrg. Computation, 10, 3–14.
25.
Safarian, S. S., and Harris, E. C. ( 1985). Design and construction of silos and bunkers. Van Nostrand Reinhold, New York.
26.
Sakaguchi, H., and Ozaki, E. ( 1993). “Analysis of the formation of arches plugging the flow of granular materials.” Powders and Grains 93, Thornton, ed., Balkema, Rotterdam, The Netherlands.
27.
Sanad, A. M. ( 1992). “Mise au point d'un programme d'elément finis tridimensionnel pour le calcul des actions de la matière stockée aux parois des silos.” Mémoire de DEA, INSA Rennes, France.
28.
Schmidt, I. C., and Wu, Y. H. ( 1989). “Prediction of dynamics wall pressures on silos.” Bulk Solids Handling, 9, 333–338.
29.
Valanis, K. C., and Peters, J. F. ( 1991). “An endochronic plasticity theory with shear-volumetric coupling.” Int. J. Numer. and Analytical Methods in Geomech., 15, 77–102
30.
Vermeer, P. A. ( 1991). Plaxis, finite element code for soil and rock plasticity. Balkema, Rotterdam, The Netherlands.
31.
Wittmer, J. P., Cates, M. E., Claudin, P., and Bouchaud, J.-P. ( 1996). “An explanation for the central stress minimum in sandpiles.” Nature, 382, 336–338.
32.
Xu, S., Zhang, Q., and Britton, M. G. ( 1993). “An endochronic finite element model for predicting loads in grain storage structures.” Transactions of ASAE, 36, 1191–1199.

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 125Issue 1January 1999
Pages: 94 - 103

History

Received: Jun 25, 1998
Published online: Jan 1, 1999
Published in print: Jan 1999

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Lect., Dept. of Civ. and Envir. Engrg., Univ. of Edinburgh, Edinburgh, U.K.
Sr. Lect., Dept of Civ. and Envir. Engrg., Univ. of Edinburgh, Edinburgh, U.K.
Prof. of Civ. Engrg. and Dir. of the Div. of Engrg., Univ. of Edinburgh, Edinburgh, U.K.
Prin. Software Engr., Global Software Devel., GenRad, 7 Technology Park Dr., Westford, MA 01886-0033.

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