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Numerical study of a bedding effect in bulk solids in silos

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PL
Numeryczne studia nad efektem podatności w materiałach sypkich w silosach
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EN
Abstrakty
EN
Paper is concerned with a bedding effect in granular bulk solids in silos. FE-analyses were performed for a steel cylindrical thin-walled model silo with imperfections containing dry sand. Numerical calculations were carried out with a polar hypoplastic constitutive relation which can capture the salient properties of granular materials during shear localisation. During FE-calculations, different types of wall displacements along the silo height were taken into account to model roughly the formation of buckles due to the loss of stability. The effect of the initial void ratio, mean grain diameter, wall roughness, and size, location and form of buckles was studied. Numerical results evidently show that the modelling of a bedding effect of bulk solids by means of springs is too simple and can lead to unrealistic predictions of the bedding modulus.
PL
Artykuł zajmuje się efektem podatności w ziarnistych materiałach sypkich w silosach. Przeprowadzono analizę metodą elementów skończonych dla stalowego cylindrycznego cienkościennego silosu z imperfekcjami, zawierającego suchy piasek. Obliczenia numeryczne wykonano stosując mikropolarne hipoplastyczne prawo konstytutywne zdolne opisać najważniejsze właściwości materiałów ziarnistych podczas lokalizacji odkształceń statycznych. Podczas obliczeń numerycznych uwzględniono różne przemieszczenia ściany wzdłuż wysokości silosu symulujące w przybliżeniu powstanie wybrzuszeń wyboczeniowych wskutek utraty stateczności. Zbadano wpływ początkowego wskaźnika porowatości, średniej średnicy ziarna, szorstkości ściany, wymiaru, pozycji i kształtu wybrzuszeń. Numeryczne wyniki pokazują wyraźnie, że modelowanie efektu podatności w materiałach sypkich za pomocą sprężyn jest zbyt proste i może prowadzić do nieprawdziwych oszacowań modułu podatności.
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  • Technical University of Gdańsk, Faculty of Civil Engineering Institute of Concrete Structures
Bibliografia
  • 1. M. ESSLINGER, B. GEIER, J. WOOD, Same compliments to the ECCS Design Code concerning isotropic cylinders. Stability of shell structures, Preliminary Report, Lüttich, 589-598, 1877
  • 2. H. SAAL, H. KAHMER, A. REIF, Beullasten axial gedrückter Kreiszylinderschalen mit Innendruck - neue Versuche und Vorschriften, Stahlbau, 48, 9, 262-269, 1979.
  • 3. W.S. GOREE, W.A. NASH, Elastic stability of circular cylindrical shells stabilised by a soft elastic core, Experimental Mechanics, 142-149, 1962.
  • 4. J.M. ROTTER, N.S. TRAHAIR, P. ANSOURIAN, Stability of plate structures, Symposium on Steel Bins for Bulk Solids, Sydney 1980.
  • 5. P.T. JUMIKIS, J.M. ROTTER, S.P. FLEMING, S.J. PORTER, Experiments on the buckling of thin-walled model silo structures, [in:] Proc. 2nd Intern. Conf. On Bulk Material Storage, Handling and Transportation, Wollongong, Australia 1986.
  • 6. J.M. ROTTER, P.T. JUMIKIS, S.P. FLEMING, S.J. PORTER, Experiments on the buckling of thin-walled model silo structures, J. Constr. Steel Research, 13, 271-299, 1989.
  • 7. P. KNÖDEL, Stabilitätsuntersuchungen an kreiszylindrischen stählern Siloschüssen, Dissertation, University Karlsruhe, 1995.
  • 8. T. UMMENHOFER, Stabilitätsverhalten imperfekter zylindrischer Stahlsiloschalen - experimentele und numerische Untersuchungen, Bericht der Versuchsanstalt für Stahl, Holz und Steine, Karlsruhe University, 5, 1-209, 1997.
  • 9. C.J. BROWN, Rectangular silo structures, [in:] Silos - Fundamentals of Theory, Behaviour and Design, C.J. BROWN, J. NIELSEN [Eds.], E and FN Spon, 426-442, 1998.
  • 10. J.M. ROTTER, Q. ZHANG, The strengthening effect of stored solids on buckling of cylindrical steel silos, [in:] Proc. 2nd Intern. Conf. On Bulk Material Storage, Handling and Transportation, Wollongong, Australia 1986.
  • 11. J.M. ROTTER, Q. ZHANG, Elastic buckling of imperfect cylinders containing granular solid, J. Structural Engng., 116, 2253-2271, 1990.
  • 12. J.G. TENG, J.M. ROTTER, On the buckling of imperfect pressurised cylinders under axial compression, J. Engng. Mech., ASCE, 118, 229-247, 1992.
  • 13. K. KNEBEL, K. SCHWEIZERHOF, Buckling of cyłindrical shells containing granular solids, Thin-Walled Structures, 23, 295-312, 1995.
  • 14. P. KNOEDEL, T. UMMENHOFFER, U. SCHULZ, On the modelling of different types of imperfections in silo shells, Thin-Walled Structures, 23, 283-293, 1995.
  • 15. L. HAEFNER, Effect of a circumferential weld on the stability and ultimate load of a circular cylinder under axial loading, PhD Thesis, University of Stuttgart, 1982.
  • 16. W. GUGGENBERGER, Nichtlineares Beulverhalten von Kreiszylinderschalen unter lokaler Axialbelastung, PhD Thesis, TU Graz, Austria 1991.
  • 17. J.M. ROTTER, Shell structures: the new European standard and current research needs, Thin-Walled Structures, 31, 3-23, 1998.
  • 18. E. WINKLER, Die Lehre von der Elastizität und Festigkeit, Dominicus, Prague 1876.
  • 19. G. ROMBACH, Schüttguteinwirkungen auf Silozellen, Dissertation, Universität Karlsruhe, 1991.
  • 20. P.L. PASTERNAK, On a new method of analysis of an elastic foundation by means of two foundation constants, Gos. Izd. Lit. Stroit. Arkh., Moskva 1954.
  • 21. S.P. TIMOSCHENKO, Einige Stabilitätsprobleme aus der Elastizitätstheorie, Zt. für Math. Physik, 58, 337-385, 1910.
  • 22. G. GUDEHUS, A comprehensive constitutive equation for granular materials, Soils and Foundations, 36, 1, 1-12, 1996.
  • 23. G. GUDEHUS, Shear localization in simple grain skeletons with polar effects, [in:] Proc. of the 4th Workshop on Localisation and Bifurcation Theory for Soils and Rocks in Gifu, T. ADACHI, F. OKA, A. YASHIMA [Eds.], Balkema, Rotterdam, Brookfield, 3-11, 1998.
  • 24. E. BAUER, Calibration of a comprehensive hypoplastic model for granular materials, Soils and Foundations, 36, 1, 13-26, 1996.
  • 25. J. TEJCHMAN, Modelling of shear localisation and autogeneous dynamic effects in granular bodies, Publication Series of Institute of Soil and Rock Mechanics, Karlsruhe University, 140, 1997.
  • 26. J. TEJCHMAN, E. BAUER, Numerical simulation of shear band with a polar hypoplastic model, Computers and Geotechnics, 18, 1, 71-84, 1996.
  • 27. J. TEJCHMAN, Shear zones and dynamic effects during silo emptying, Part 1, Archives of Civil Engineering, 43, 4, 353-382, 1997.
  • 28. J. TEJCHMAN, Shear zone and dynamic effects during silo emptying, Part 2, Archives of Civil Engineering, 43, 4, 383-414, 1997.
  • 29. J. TEJCHMAN, Numerical modelling of shear localisation with a polar hypoplastic approach, [in:] Localisation and Bifurcation Theory for Soils and Rocks, T. ADACHI, F. OKA, A. YASHIMA [Eds.], Balkema, Rotterdam, Brookfield, 323-333, 1998.
  • 30. J. TEJCHMAN, I. HERLE, J. WEHR, FE-studies on the influence of initial void ratio, pressure level and mean grain diameter on shear localisation, Int. Journal for Numerical and Analytical Methods in Geomechanics, 23, 2045-2074, 1999.
  • 31. D. KOLYMBAS, A novel constitutive law for soils, [in:] Proc. Int. Conf. on Constitutive Laws, Tucson, C.S. DESAI et al. [Eds.], 319-323, 1987.
  • 32. G. GUDEHUS, Localisation in granular bodies-position and objectives, [in:] Localisation and Bifurcation Theory for Soils and Rocks, R. CHAMBON, J. DESRUES, I. VARDOULAKIS [Eds.], Balkema, Rotterdam, 1-15, 1994.
  • 33. W. WU, E. BAUER, D. KOLYMBAS, Hypoplastic constitutive model with critical state for granular materials, Mechanics of Materials, 23, 45-69, 1996.
  • 34. P.A. VON WOLFFERSDORFF, A hypoplastic relation for granular materials with a predefined limit state surface, Mechanics of Cohesive-Frictional Materials, 1, 251-271, 1996.
  • 35. I. HERLE, G. GUDEHUS, Determination of parameters of a hypoplastic constitutive model from properties of grain assemblies, Mechanics of Cohesive-Frictional Materials, 4, 461-486, 1999.
  • 36. I. HERLE, Hypoplastizität und Granulometrie einfacher Korngerüste, Publication Series of the Institute of Soil and Rock Mechanics, University Karlsruhe, 142, 1997.
  • 37. H.B. MÜHLHAUS, Application of Cosserat theory in numerical solutions of limit load problems, Ing. Arch., 59, 124-137, 1989.
  • 38. H.B. MÜHLHAUS, Continuum models for layered and blocky rock, [in:] Comprehensive Rock Engineering, J.A. HUDSON, CH. FAIRHURST [Eds.], Pergamon Press, 2, 209-231, 1990.
  • 39. R. DE BORST, Simulation of localisation using Cosserat theory, [in:] Proc. of the 2nd Int. Con. on Computer Aided design of Concrete Structures, N. BICANIC, H.A. MANG [Eds.], Pineridge Press, Swansea, 931-944, 1990.
  • 40. L.J. SLUYS, Wave propagation, localisation and dispersion in softening solids, Dissertation, Delft University of Technology, 1992.
  • 41. R. BRINKGREVE, Geomaterial models and numerical analysis of softening, Dissertation, Delft University, 1-153, 1994.
  • 42. R. DE BORST, H.B. MÜHLHAUS, J. PAMIN, L.Y. SLUYS, Computational modelling of localization of deformation, [in:] Proc. of the 3rd Int. Conf. Comp. Plasticity, D.R.J. OWEN, E. ONATE, E. HINTON [Eds.], Pineridge Press, Swansea, 483-508, 1992.
  • 43. J. TEJCHMAN, W. WU, Experimental and numerical study of sand-steel interfaces, International J. of Numeric. and Anal. Methods in Geomechanics, 19, 8, 513-537, 1995.
  • 44. J. TEJCHMAN, W. WU, Numerical study on shear band patterning in a Cosserat continuum, Acta Mechanica, 99, 61-74, 1993.
  • 45. H. SCHÄFER, Versuch einer Elastizitätstheorie des zweidimensionalen ebenen Cosserat-Kontinuums, Miszellaneen der Angewandten Mechanik, Festschrift W. Tolmien, Akademie-Verlag, Berlin 1962.
  • 46. A. BENALLAL, R. BILLARDON, G. GEYMONAT, Localization phenomena at the boundaries and interfaces of solids, [in:] Proc. of the 3rd Int. Conf. Constitutive Laws for Engineering Materials: Theory and Applications, Tucson, Arizona, C.S. DESAI et al. [Eds.], 387-390, 1987.
  • 47. M. UESUGI, H. KISHIDA, Y. TSUBAKIHARA, Behaviour of sand particles in sand-steel friction, Soils and Foundations, 28, 1, 107-118, 1988.
  • 48. M. ODA, J. KONISHI, S. NEMAT-NASSER, Experimental micromechanical evaluation of strength of granular materials, effects of particle rolling, Mechanics of Materials, North-Holland Publishing Comp., 1, 269-283, 1982.
  • 49. J. TEJCHMAN, Scherzonenbildung und Verspannungseffekte in Granulaten unter Berücksichtigung von Korndrehungen, Publication Series of the Institute of Soil and Rock Mechanics, University Karlsruhe, 117, 1-236, 1989.
  • 50. M. ODA, Micro-fabric and couple stress in shear bands of granular materials, [in:] Powders and Grains, C. THORNTON [Ed.], Rotterdam, Balkema, 161-167, 1993.
  • 51. I. HERLE, J. TEJCHMAN, Effects of grain size and pressure level on bearing capacity of footings on sand, [in:] Deformation and Progressive Failure in Geomechanics, A. ASAOKA, T. ADACHU, F. OKA (Eds.), 781-787, 1997.
  • 52. J. WEHR, J. TEJCHMAN, I. HERLE, G. GUDEHUS, Sand anchors - a shear zone problem, [in:] Deformation and Progressive Failure in Geomechanics, A. ASAOKA, T. ADACHI, F. OKA [Eds.), 787-793, 1997.
  • 53. A.E. GROEN, Three-dimensional elasto-plastic analysis of soils, Dissertation, Delft University, 1-114, 1997.
  • 54. J.C. NAGTEGAAL, D.M. PARKS, J.R. RICE, On numerically accurate finite element solutions in fully plastic range, Comp. Meth. Appl. Mech. Engng., 4, 153-177, 1974.
  • 55. J. TEJCHMAN, Numerical simulations of filling in silos with a polar hypoplastic constitutive model, Powder and Technology, 96, 3, 227-239, 1998.
  • 56. J. TEJCHMAN, T. UMMENHOFER, Bedding effects in bulk solids in cylindrical silos, Thin-Walled Structures, 37, 4, 333-361, 2000.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BTB2-0009-0097
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