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The present paper is concerned with the simplified analysis of deformation and stress states in converging hoppers during filling and discharge of a granular material. The equilibrium conditions and stress-strain relations are satisfied for cylindrical slice elements assuming dependence of displacement and stress on radial coordinate. The elastic or elasto-plastic material model is used with the Coulomb yield condition and non-associated flow rule. The paper presents a detailed analysis of pressure evolution of a granular material on a hopper wall during the emptying process when the initial active state of pressure is transformed into the passive state. The growth of wall pressure associated with this process is demonstrated. The analytical treatment presented in this paper can be compared with the respective finite element solution.
Słowa kluczowe
Czasopismo
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Tom
Strony
461--491
Opis fizyczny
Bibliogr. 18 poz., rys., wykr.
Twórcy
Bibliografia
- 1. E. RAGNEAU, J.M. ARIBERT, Silo pressure calculation: from a finite element approach to simplified analytical solutions, Bulk Solids Handling, 15, l, 71, 1995.
- 2. J.Y. OOI, J.M. ROTTER, Elastic predictions of pressures in conical silo hoppers, Engineering Structures, 13, l, 2–12, 1991.
- 3.K. RUNESSON, L. NlLSSON, Finite element modelling of the gravitational flow of a granular material, Bulk Solids Handling, 6, n 5, 877–889, 1986.
- 4. Z. WIĘCKOWSKI, The use of finite element method in certain nonlinear problems of solid mechanics, Scientific Bulletin of Łodź Technical University 815, 256, Łodź 1999.
- 5. P.C. ARNOLD, A.G. McLEAN, An analytical solution for the stress function at the wall of a converging channel, Powder Technology, 13, 255–260, 1976.
- 6. E.B. PITMAN, Stress and velocity fields in two- and three-dimensional hoppers, Powder Technology, 47, 219–231, 1986.
- 7. R.L. MICHAŁOWSKI, Flow of granular media through a plane parallel/converging bunker, Chemical Engineering Science, 42, 11, 2587–2596, 1987.
- 8. T.M. YERGHESE, R.M. NEDDERMAN, The discharge of fine sands from conical hoppers, Chemical Engineering Science, 50, 19, 3143–3153, 1995.
- 9. Z. MRÓZ, CZ. SZYMAŃSKI, Gravity flow of granular material in a converging channel, Arch. Mech., 23, 897–917, 1971.
- 10. A.W. JENIKE, J.R. JOHANSON, Bin loads, J. Struct. Div. Proc. ASCE, 94, ST 4, 1968.
- 11. A.W. JENIKE, J.R. JOHANSON, On the theory of bin loads, Transactions of the ASME, 91, Ser. B, 2, 339–344, 1969.
- 12. A. DRESCHER, R.L. MICHALOWSKI, Density variation in pseudo-steady plastic flow of granular media, Geotechnique, 34, l, 1–10, 1984.
- 13. R.M. NEDDERMAN, Theoretical prediction of stress distributions in hoppers, Transactions of the Institution of Chemical Engineers, 60, 5, 259–275, 1982.
- 14. A.W. JENIKE, Storage and flow of solids, Utah Univ. Eng. Exp. Stn. Buli, 123, 1964.
- 15. Z. MRÓZ, K. KWASZCZYŃSKA, Certain boundary problems for granular materials with density hardening, Engineering Transactions, 19, l, 15–42, 1971.
- 16. J.K. WALTERS, A theoretical analysis of stresses in axially-symmetric hoppers and bunkers, Chemical Engineering Science, 28, 3, 779–789, 1973.
- 17. D.M. WALKER, An approximate theory for pressures and arching in hoppers, Chemical Engineering Science, 21, 975–997, 1966.
- 18. CZ. SZYMAŃSKI, Z. MRÓZ, Analysis of mechanical process in granular material during filling and emptying of converging hoppers, Scientific Reports of IFTR, 32/1977, Warsaw 1977.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB2-0008-0035