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Tytuł artykułu

Modelling of silo discharge and filling problems by the material point method

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Języki publikacji
EN
Abstrakty
EN
The problems of flow of a granular material is the processes of silo discharge and filling are considered. Dynamic, two-dimensional problems are analyzed, both the plane and axisymmetric ones. The material point method is applied as an analytical tool, a variant of the finite element method capable of solving pertinent equations of motion on an arbitrary computational element mesh and tracing state variables at material points chosen independently of the mesh. The mechanical behaviour of a granular material is described with non-associative elastic-perfectly plastic and elastic-viscoplastic material models with the Drucker-Prager yield condition. The influence of friction between the flowing granular body and silo walls is taken into account. The material point method enables one to analyze silos of arbitrary shapes, including silos with inserts controlling the flow of the stored material. The mass and funnel types of flows are analyzed.
Rocznik
Strony
701--721
Opis fizyczny
Bibliogr. 28 poz., rys.
Twórcy
  • Technical University of Łódź, Chair of Mechanics of Materials, Al. Politechniki 6, 93-590 Łódź, Poland
  • Technical University of Łódź, Chair of Mechanics of Materials, Al. Politechniki 6, 93-590 Łódź, Poland, zwi@p.lodz.pl
Bibliografia
  • [1] H ̈aussler U and Eibl J 1984 J. Eng. Mech. ASCE 110 957
  • [2] Eibl J and Rombach G 1988 Proc. 6th Int. Conf. on Numerical Methods in Geomechanics (Swoboda G, Ed.), Balkema, pp. 317–320
  • [3] Runesson K and Nilsson L 1986 Int. J. Bulk Solids Handling 6 877
  • [4] Elaskar S A, Godoy L A, Gray D D and Stiles J M 2000 Int. J. Sol. Struct.37 2185
  • [5] Więckowski Z and Klisiński m 1995 Arch. Mech.47 617
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  • [7] Owen D R J, Feng Y T, Klerck P A, Yu J and Crook A J L 2001 Proc. 2nd Europ. Conf. on Computational Mechanics ECCOMAS, IACM, Cracow, CD-ROM
  • [8] M ̈uhlhaus H-B, Sakaguchi H, Moresi L and Fahey M 2001 Continuous and Discontinuous Modelling of Cohesive-Frictional Materials (Vermeer P A, Diebels S, Ehlers W, Herrmann H J, Luding S and Ramm E, Eds), Springer, Berlin, pp. 185–204
  • [9] Więckowski Z, Youn S K and Yeon J H 1999 Int. J. Numer. Meth. Eng.45 1203
  • [10] Oger L, Savage S B Sayed M 2000 Proc. 4th Euromech Conf., Metz pp. 126–126
  • [11] Harlow F H 1964 Methods for Computational Physics 3, (Adler B, Fernbach S and Rotenberg M, Eds), Academic Press, New York, pp. 319–343
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  • [13] Sulsky D, Chen Z and Schreyer H L 1994 Comp. Meth. Appl. Mech. Eng.118 179
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  • [15] Sulsky D and Schreyer H L 1996 Comp. Meth. Appl. Mech. Eng.13 9409
  • [16] Belytschko T, Krongauz Y, Organ D, Fleming M and Krysl P 1996 Comp. Meth. Appl. Mech.Eng.13 93
  • [17] Zienkiewicz O C and Taylor R L 2000 The Finite Element Method1, 5th Edition, Butterworth-Heinemann, Oxford
  • [18] Liu G R 2001 Mesh Free Methods: Moving Beyond the Finite Element Method, CRC Press
  • [19] Duvaut G and Lions J L 1976 Inequalities in Mechanics and Physics, Springer-Verlag, Berlin
  • [20] Kikuchi N and Oden J T 1988 Contact Problems in Elasticity: A Study of VariationalInequalities and Finite Element Methods, SIAM, Philadelphia
  • [21] Michałowski R and Mróz Z 1970 Arch. Mech.30 259
  • [22] Wriggers P, Vu Van T and Stein E 1990 Computers & Structures37 319
  • [23] Schofield A and Wroth C P 1968 Critical State Soil Mechanics, McGraw-Hill, New York
  • [24] Kolymbas D 1988 Constitutive Equations for Granular Non-Cohesive Soils(Saada A S and Bianchini G, Eds), Balkema, Rotterdam, pp. 349–359
  • [25] Kolymbas D 1991 Ing. Arch.61 143
  • [26] Zienkiewicz O C and Taylor R L 2000 The Finite Element Method 2, 5th Edition, Butterworth-Heinemann, Oxford
  • [27] Beverloo W A, Leniger H A and van de Velde J 1961 Chem. Eng. Sci.15260
  • [28] Więckowski Z 2002 Proc. 5th World Congress on Computational Mechanics (WCCM V)(Mang H A, Rammerstorfer F G and Eberhardsteiner J, Eds), Vienna University of Technology, Vienna, Austria, http://wccm.tuwien.ac.at/
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0010-0062
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