PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

FE-simulations of rapid silo flow with a polar elasto-plastic constitutive model

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents results on numerical modelling of rapid flow of granular materials in a model silo with convergent smooth walls. The calculations were performed with a finite element method based on a polar elasto-plastic constitutive relation by Muhlhaus (1995). The relation differs from the conventional theory of plasticity by the presence of Cosserat rotations and couple stresses using a mean grain diameter as a characteristic length. The characteristic length causes that numerical results do not depend upon the mesh discretisation. The model tests on rapid silo flow of glass beads performed by Renner in a glass hopper with a large wall inclination from the bottom were numerically simulated. The plane strain FE-calculations were performed by taking into account inertial forces and linear viscous damping. A satisfactory agreement between numerical and experimental results was obtained. Advantages and limitations of a continuum approach for simulations of rapid silo flow were outlined.
Rocznik
Strony
473--501
Opis fizyczny
Bibliogr. 86 poz., rys.
Twórcy
autor
  • Institute for Concrete Structures, Technical University of Gdańsk, Narutowicza 11/12, 80-952 Gdańsk, Poland
Bibliografia
  • [1] Airy W., The pressure of grain, Proc. Inst, of Civil Engineering, London, 131,347-358, 1897
  • [2] Bathe K. J., Finite Element Procedures in Engineering Analysis, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1982
  • [3] Baxter G. W., Behringer R. P., Pattern formation and time-dependence in flowing sand, Two Phase Flows and Waves, Springer Verlag, New York, 1 -29,1990
  • [4] Becker M., Lippmann H., P lane plastic flow of granular model material, experimental set-up and results, Archives of Mechanics, Warszawa, 29,829-846,1977
  • [5] Benallal A., Billardon R., Geymonat G., Localization phenomena at the boundaries and interfaces of solids, Proc. 3rd Int. Conf. Constitutive Laws for Engineering Materials: Theory and Applications,Tucson, Arizona, 387-390,1991
  • [6] van den Berg P., Analysis of soil penetration, Dissertation, Delft University, 1-175, 1994
  • [7] Bogdanova-Bontscheva N., Lippmann H., Rotationssymmetrisches ebenes Fliessen eines granularen Modellmaterials, Acta Mech., 21,93-113, 1975
  • [8] de Borst R., Simulation of localisation using Cosserat theory: a reappraisal of the Cosserat continuum, Engng. Comput. 8,317-332, 1991
  • [9] de Borst R., Miihlhaus H. B., Pamin J., Sluys L. Y., Computational modelling of localization of deformation, Proc. 3rd Int. Conf. Comp. Plasticity, eds.: D. R. J. Owen, E. Onate and E. Hinton, Pineridge Press, Swansea, 483-508,1992
  • [10] Buggisch H., Renner M., Theoretische und experimented Untersuchungen zum schnellen Flieflen von Schiittgiitern in konvergenten Geometries, SFB „Silos”, Karlsuhe University, 65-86,1993
  • [11] Cundall P. A., Strack O. D. L., A discrete numerical model for granular assemblies, Geotechnique, 29,47-65,1979
  • [12] Das M. B., Fundamentals of Soil Dynamics, New York, Elsevier, 1983.
  • [13] Drescher A., Metody obliczeh pare i przeplywu materialow ziarnistych wzbiornikach, Polska Akademia Nauk, Warszawa-Poznan, 1983
  • [14] Eibl J., Rombach G., Consistent Modelling of Filling and Discharging Processes in Silos, Intern. Conf. Silos-Forschung und Praxis, Universitat Karlsruhe, SFB 219,1-15, 1988
  • [15] Enstad G., On the Theory of Arching in Mass Flow Hoppers, Chem. Engng. Sci. 30,1975
  • [16] Frohlich O. K., Die Druckverteilung in der Silozelle und im Baugrunde, Beton und Eisen, Berlin, 1934
  • [17] Futterer G., Untersuchungen zum schnellen Flieflen von trockenen, kohdsionslosen Schiittgiitern in konvergenten Schachten, Dissertation, Karlsruhe University, 1-140, 1991
  • [18] Groen A. E., Three-dimensional elasto-plastic analysis of soils, Dissertation, Delft University, 1-113,1997
  • [19] Gudehus G., Tejchman J., Some mechanisms of a granular mass in a silo - model tests and a numerical Cosserat approach, Advances in Continuum Mechanics, eds.: O. Briiller, V. Mannel, J. Najar (dedicated to H. Lippmann), Springer Verlag, Berlin, Heidelberg, 178-193,1991
  • [20] Gutfraind R., Pouliquen O., Study of the origin of shear zones in quasi-static vertical chute flows by using discrete particle simulations, Mechanics of Materials, 24, 273-285,1996
  • [21] Gunther W., Zur Statik und Kinematik des Cosserat-Kontinuums, Abh. Braun- schweigische Wiss., 10,1958
  • [22] HalTP. K., Grain flow as a fluid - mechanical phenomenon, J. Fluid Mech. 134, 401-430,1983
  • [23] Hatamura Y., Takeuchi T., Analysis of physical phenomena in silos, Powders and Grains, eds.: J. Biarez, R. Gourves, Balkema, Rotterdam, 445-452,1989
  • [24] HauBler U., Eibl J., Numerical investigation of discharging silos, J. Engineering Mechanics, 110,975-971,1984
  • [25] Horn R. M., Nedderman R. M., Analysis of the stress distribution in two-dimensional bins by the method of characteristic, Powder Technology, 14, 1976
  • [26] Huetink J., van der Helm P., On Euler-Lagrange finite element formulation in forming andfluid problems, Proc. NUMIFORM, eds.: Chenot et al., Balkema, Rotterdam, 45-54, 1992
  • [27] JenikeA. Nl.,Storage and Flow of Solids, Utah Eng. Exp. Stat. Bull. 123,1964
  • [28] Jenkins J. T., Richman M. W., Kinetic theory for plane flows of a dense gas of identical, rough, inelastic, circular disks, Phys. Fluids, 28,3485-3494,1985
  • [29] Jenkins J. T. Boundary conditions for rapid granular flow: flat, frictional walls, Journal of Applied Mechanics, 59,120-127,1992
  • [30] Kafui K. D., Thornton C., Some aspects of silo discharge: computer simulations, PARTEC95, Niimberg, 379-388,1995
  • [31] Kafui K. D., Thornton C., Some observations on granular flow in hoppers and silos, Powders and Grains, eds.: Behringer, Jenkins, Balkema, Rotterdam, 511 -514,1997
  • [32] Kanatani K., A micropolar continuum theory for granular materials, Int. J. Eng. Sci., 17,419-432,1979
  • [33] Langston P. A., Heyes D. M., Tuzun U., Discrete Element Simulation of Granular Flow in Hoppers, Proc. of the 3rd European Symposium Storage and Flow of Particulate Solids, PARTEC 95, Niimberg, Germany, 357-367,1995
  • [34] Loffelmann F., Theoretische und experimentelle Untersuchungen zur Schiittgut- Wand-Wechselwirkung und zum Mischen und Entmischen von Granulaten, Dissertation, Uni versitat Karlsruhe, 1989
  • [35] Lin X., Nakagawa M., Mustoe G., Simulations on hopper flows of elongated particles, Proc. 5th World Congress of Chemical Engineering, San Diego, 5,367-373,1996
  • [36] Luding S., Duran J., Clement E., Rejchenbach J., Computer simulations and experiments of dry granular media: polydisperse disks in a vertical pipe, Proc. 5th World Congress of Chemical Engineering, San Diego, 5,325-330,1996
  • [37] Lun C. K. K., Savage S. B., A simple kinetic theory for granular flow of rough, inelastic spherical particle, J. Appl. Mech. 54,47-53,1987
  • [38] Masson S., Martinez J., Deserable D., Comparative simulations of particle flow using a distinct element method and a lattice grain model, Proc. 5th World Congress of Chemical Engineering, San Diego, 5,349-355,1996
  • [39] Martinez J., Masson S., Deserable D., Flow Patterns and Velocity Profiles during Silo Discharge Simulation with a Lattice Grain Model, Proc. of the 3rd European Symposium Storage and Flow of Particulate Solids, PARTEC 95, N(mberg, Germany, 367-379,1995
  • [40] Melix P., Stabilitatsprobleme bei der Siloentleerung, Int. Report SFB 219, University Karlsruhe, 1985
  • [41] Mindlin R. D., Microstructure in linear elasticity, Arch. Rat. Mech. Anal, 16, 51 -78, 1964
  • [42] Mroz Z., Non-associated Flow Laws in Plasticity, J. de Mechanique, 1,21 -42,1963
  • [43] Mroz Z., Szymanski C., Gravity flow of a granular material in a converging channel, Archives of Mechanics, 23,5897-917, 1971
  • [44] Murakami A., Yoshida N., Cosserat continuum and finite element analysis, Deformation and Progressive Failure in Geornechanics, eds.: A. Asaoka, T. Adachi anf F. Oka, Pergamon, 871-876,1997.
  • [45] Muhlhaus H. B., Beriicksichtigung von Inhomogenitdten im Gebirge im Rahme einer Kontinuumstheorie, Veroffentlichungen des Institutes fur Boden- und Felsmechanik, Universiiat Karlsruhe, 106,1987
  • [46] Muhlhaus H. B., Vardoulakis, I., The thickness of shear bands in granular materials, Geotechnique, 37,271 -283,1987
  • [47] M(hlhaus H. B„ Stress und couple stress in a layered half plane with surface loading, Int. Jour. forNumer. and Analyt. Met. in Geomech., 13,545-563,1989
  • [48] Muhlhaus H. B., Application of Cosserat theory in numerical solutions of limit load problems, Ing. Arch., 59,124-137,1989
  • [49] Muhlhaus H. B., Continuum models for layered and blocky rock, Comprehensive Rock Engineering, eds.: J. A. Hudson, Ch. Fairhurst, Pergamon Press, 2,209-231,1990
  • [50] Muhlhaus H. B., Chin Hsin Li, Hornby P., Solid-Fluid Transition in Granular Flow: Constitutive and Computational Aspects, Felsmechanik Kolloquium, University Karlsruhe, 1995
  • [51] Oda M., Konishi, Nemat-Nasser S., Experimental micromechanical evaluation of strength of granular materials, effects of particle rolling, Mechanics of Materials, North-Holland Publishing Ccmp., 1,269-283,1982
  • [52] Oda M., Micro-fabric and couple stress in shear bands of granular materials, Powders and Grains, ed.: C. Thornton, Rotterdam, Balkema, 161-167,1993
  • [53] Ortiz M., Simo I. C., An analysis of a new class of integration algorithms for elastoplastic constitutive relation, Int. J. Numer. Methods in Engrg. 23, 353-366,1986
  • [54] Papanastasiou P., Vardoulakis I., Numerical treatment of progressive localization in relation to borehole stability, Int. J. Num. Anal. Meth. Geomech., 16,389-424,1992
  • [55] Pouliquen Q., Gutffaind R., Stress fluctuations and shear zones in quasistaic granular chute flows, Physical Review, 53,552-561,1996
  • [56] Ragneau E., Aribert J. M., General recurrent determination of grain action along silo walls during filling, transient flow and permanent emptying, Proc. of the 3rd European Symposium on Storage and Flow of Particulate Solids, PARTEC95, Niimberg, 205-219,1995
  • [57] Renner M., Fiber die Stabilitdt der stationaren Stromung von Schuttgiitern in vertikalen Schachten, Dissertation, Faculty of Chemistry, Karlsruhe University, 1-166,1996
  • [58] Ristow G. H., Outflow rates and stresses in 3D hoppers, eds.: Behringer and Jenkins, Balkema, Rotterdam, 527-530,1997
  • [59] Ruckenbrod C., Eibl J., Dynamic Phenomena in Discharging Silos, Proc. of the 3rd European Symposium Storage and Flow of Particulate Solids, PARTEC 95, Niimberg, Germany, 193-202,1995
  • [60] Sakaguchi H., Ozaki E., Analysis of the formation of arches plugging the flow of granular materials, Powders and Grains, eds.: C. Thornton, Balkema, Rotterdam, 351-357,1993
  • [61] Savage S. B., Jeffrey D. J., The stress tensor in a granular flow at high shear rates, J. Fluid Mech., 110,255-272,1981
  • [62] Savage S. B., Numerical Simulations of Couette Flow of Granular Materials: Spatio- Temporal Coherence of l/f Noise, Physics of Granular Media, eds.: D. Bideau, J. Dodds. Nova Science Publishers Inc. 343-362, 1992
  • [63] Schafer H., Versuch einer Elastizitdtstheorie des zweidimensionalen ebenen Cosserat-Kontinuums, Miszellaneen der Angewandten Mechanik, Festschrift Tolmien, W., Berlin, Akademie-Verlag, 1962.
  • [64] Schwedes J., Flieflverhalten von Schuttgiitern in Bunkern, Weinheim, 1968
  • [65] Sluys L. J., Wave propagation, localisation and dispersion in softening, Dissertation, Delft University, 1-163,1992
  • [66] Steinmann P., Theory and numerics of ductile micropolar elastoplastic damage, Int. Journal for Numerical Methods in Engineering, 38,583-606,1995
  • [67] Tano E., Godoy L. A, Diez M. A., Numerical modelling of the flow of solids stored in silos, Computer Methods and Advances in Geomechanics, eds.: H. J. Siriwardane, M. M. Zaman, 2,1281 -1291,1994
  • [68] Tejchman K., Scherzonenbildung und Verspannungseffekte in Granulaten unter Beriicksichtigung von Korndrehungen, Veroffentlichungen des Institutes fur Boden- und Felsmechanik, Universitiit Karlsruhe, 117,1-236,1989
  • [69] Tejchman J., Wu W., Numerical study on shear band patterning in a Cosserat continuum, Acta Mech., 99,61 -74,1993
  • [70] Tejchman J., Gudehus G,. Silo-music and silo-quake, experiments and a numerical Cosserat approach, Powder Technology, 76,2,201-212,1993
  • [71] Tejchman J., Numerical study on localized deformation in a Cosserat Continuum, Localisation and Bifurcation Theory for Soils and Rocks, eds.: R. Chambon, J. Desrues, I. Vardoulakis, Balkema, Rotterdam, 257-275,1994
  • [72] Tejchman J., Silo Quake - Experiments and a Polar Hypoplastic Model, PARTEC 95, Proc. of the 3rd European Symposium Storage and Flow of Particulate Solids, Niimberg, 151-163,1995
  • [73] Tejchman J., Wu W., Experimental and Numerical Study of Sand-Steel Interfaces, Int. J. Num. Anal. Meth. Geomech. 19,8,513-537,1995
  • [74] Tejchman J., Wu W., Dynamic Patterning of Shear Bands in a Cosserat Continuum, Int. Engineer. Mech. Journal ASCE, 123,2,123-134,1997
  • [75] Tejchman J.: Shear zones and dynamic effects during silo emptying, Archives of Civil Engineering, Warsaw, 43,4,353-414,1997
  • [76] Thornton C., G. Sun., Axisymmetric compression of 3D polydisperse systems of spheres, Powders and Grains, eds.: C. Thornton, Balkema, Rotterdam, 129-134,1993
  • [77] Uesugi M., Friction between dry sand and construction, Dissertation, Tokyo Institute of Technology, 1987
  • [78] Uesugi M., Kishida H., Tsubakihara Y., Behaviour of sand particles in sand-steel friction, Soils and Foundations, 28,1,107-118,1988
  • [79] Unterreiner P., Vardoulakis I. Boulon M., Sulem, J., Essentialfeatures of a Cosserat continuum in interfacial localisation. Localisation and Bifurcation Theory for Soils and Rocks, eds.: R. Chambon, J. Desrues, I. Vardoulakis, Balkema, Rotterdam, 141-155, 1994
  • [80] Vedaie B., Bishara A. G., Pressures in circular hopper silos under axisymmetric mass flow, Intern Conf. Silos - Forschungund Praxis, Karlsruhe, SFB 219,25-55,1988
  • [81] Vardoulakis I., Shear band inclination and shear modulus of sand in biaxial tests, Int. J. Num. Anal. Met. Geomech. 4,103-119,1980
  • [82] Walker D. M.,,4 basis for Bunker Design, Powder Technology, 1,228-236,1967
  • [83] Walters J. K., A theoretical analysis of stresses with vertical walls, Chem. Engng. Sci., 28,13,1973
  • [84] Walton O. R., Brown R. L. Stress calculations for assemblies of inelastic spheres in uniform shear, Acta Mech., 63,73-86,1986
  • [85] Wu W., Hypoplasticity model for barotropy and pyknotropy of granular materials, Veroffentiichungen des Institutes fur Boden- und Felsmechanik, Universitat Karlsruhe, 129,1-154,1992
  • [86] Yoshimi Y., Kishida T., Friction between sand and metal surface, Proc. 10th ICSMFE, 1,831-834,1981
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0019-0030
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.