Deformation of an elastic cylindrical tube filled with water and a dry granular material

A. Medina¹, M. Pliego² and F.J. Higuera³

¹ Sección de Estudios de Posgrado e Investigación Escuela Superior de Ingeniería Mecánica y Eléctrica Azcapotzalco, Instituto Politécnico Nacional, Av. de las Granjas No. 682, Col. Sta. Catarina, 02250 México D.F., México.

² División de Ciencias Básicas, Instituto Tecnológico de Querétaro, Av. Tecnológico s/n esq. M. Escobedo, Col. Centro, 76000, Querétaro, Qro., México.

³ Escuela Técnica Superior de Ingenieros Aeronáuticos, Universidad Politécnica de Madrid, Plaza Cardenal Cisneros 3, 28040 Madrid, Spain.

Received 12 June 2015;
accepted 17 November 2015

Abstract

The deformation of a vertical thin-walled tube filled with a liquid or a non-cohesive granular material is investigated theoretically and experimentally. Experiments using latex tubes filled with water or spherical glass beads have been conducted and the results were compared to theoretical results derived from the Janssen model. The results obtained suggest that soft elastic tubes could provide a simple and convenient means to investigate the forces that arise within different materials.

Keywords: Granular systems; application of continuum mechanics to structures; theoretical studies (static elasticity).

PACS: 45.70.-n; 46.70.-p; 46.25.Cc

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References

1. H. A. Janssen, Zeitschr. d. Vereines deutcher Ingenieure 39 (1895) 1045.         [ Links ]

2. R. L. Brown and J. C. Richards, Principles of Powder Mechanics (Pergamon, New York, 1970).         [ Links ]

3. E. B. Pitman, Am. Math. Mtly. 101 (1994) 28-35.         [ Links ]

4. D. Schulze, Powders and bulk solids, (Springer, Berlin, 2008).         [ Links ]

5. D. McGlinchey (Ed.), Bulk Solids Handling: Equipment Selection and Operation, (Blackwell Publishing Ltd., Oxford, 2008).         [ Links ]

6. H. Pacheco-Martínez, H. Jan van Gerner, J.C. Ruiz-Suárez, Phys. Rev.E 77 (2008) 021303.         [ Links ]

7. J.A. Rayas, R. Rodríguez-Vera, A. Martínez, Rev. Mex. Fís. 49 (2003) 555-564.         [ Links ]

8. K. Wilde, M. Rucka, J. Tejchman, Powder Tech. 186 (2008) 113.         [ Links ]

9. P.G. de Gennes, Rev. Mod. Phys. 71 (1999) S374.         [ Links ]

10. A. P. Boresi, R. J. Schmidt, O. M. Sidebottom, Advanced Mechanics of Materials, (John Wiley, New York, NY, 1993). Fifth ed.         [ Links ]

11. F. M. White, Fluid Mechanics, (McGraw-Hill, New York, NY, 1994), 3rd. ed.         [ Links ]

12. G. Ovarlez, C. Fond, E. Clement, Phys. Rev. E 67 (2003) 060302(R).         [ Links ]

13. C.R. Woodcock, J.S. Mason, Bulk Solids Handling: An Introduction to the Practice and Technology (Blackie and Son Ltd, London, 1987).         [ Links ]

14. Here, the angle of internal friction Ø is a synonymous of the angle of repose, as is commonly accepted (see, for instance: A. M. Deganutti, P.R. Tecca, R. Genovois, Characterization of friction angles for stability and deposition of granular material, Italian Jour. Eng. Geol. Envnt.- Book: 5th International Conference on Debris-Flow Hazards "Mitigation, Mechanics, Prediction and Assessment", (Casa Editrice, Università La Sapienza, Roma, 2011). pp. 313-318 and references therein).         [ Links ]