On the problem of the determination of force distributions in granular heaps using continuum theory

Quarterly Journal of Mechanics and Applied Mathematics

Volumn 55, Issue 4, 2002, Pages 655-668

  Hill, James M ^a   Cox, Grant M ^a  

^a UNIVERSITY OF WOLLONGONG   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FRICTION; GRANULAR MATERIALS; PRESSURE DISTRIBUTION; RADIAL FLOW; STRESS ANALYSIS;

FORCE DISTRIBUTIONS;

CONTINUUM MECHANICS;

EID: 0036851114     PISSN: 00335614     EISSN: None     Source Type: Journal    
DOI: 10.1093/qjmam/55.4.655     Document Type: Article

References (28)

1. J. Smid and J. Novosad, Pressure distribution under heaped bulk solids, I, Chem. E. Symp. 63 (1981) D3/V/1-12.
2. A. Watson, The perplexing puzzle posed by a pile of apples, New Scientist 1799 (1991) 15.
3. _, Searching for the sand-pile pressure dip, Science 273 (1996) 579-580.
4. D.F. Bagster, An idealised model of granular material behaviour in ore heaps and hoppers, J. Powder Bulk Solids Tech. 2 (1978) 42-46.
5. _, A randomised model of granular material in an ore heap, ibid. 6 (1982) 1-3.
6. _, The development of a microscopic model of granular material behaviour in a heap, Proc. 3rd Int. Conf. Bulk Materials, Storage, Handling and Transportation, Newcastle, Australia, June 1989 (The Institution of Engineers, Canberra) 24-32.
7. _ and E. Li, The stresses beneath a heap of blocks, Proc. Int. Conf. Bulk Materials Handling and Transportation, Wollongong, Australia, July 1992 (The Institution of Engineers, Canberra) 419-423.
8. _ and _, A three-dimensional random heap model of hard spheres, Proc. Nat. Conf. Bulk Materials Handling, Yeppoon, Australia, Sept. 1993 (The Institution of Engineers, Canberra) 67-71.
9. _ and R. Kirk, Computer generation of a model to simulate granular material behaviour, J. Powder Bulk Solids Tech. 9 (1985) 19-24.
10. G.R. Brooks and D.F. Bagster, The slack contact model of stresses in a heap of particles, ibid. 8 (1984) 18-28.
11. K. Liffman, D.Y.C. Chan and B.D. Hughes, Force distribution in a two dimensional sand-pile, J. Powder Tech. 72 (1992) 255-267.
12. L. Vanel, D. Howell, D. Clark, R.P. Behringer and E. Clement, Memories in sand: Experimental tests of construction history on stress distributions under sandpiles, Phys. Rev. E 60 (1999) R5040-R5043.
13. G. van R. Marias, Stresses in wedges of cohesionless materials formed by free discharge at the apex, Trans. ASME, J. Eng. Industry 91 (1969) 345-352.
14. V.V. Sokolovsky, Statics of Granular Materials (Pergamon, Oxford 1965).
15. J.R. Booker, Applications of theories of plasticity to cohesive frictional soils, Ph.D. Thesis, University of Sydney (1969).
16. A.W. Jenike, Gravity flow of solids, Trans. Inst. Chem. Engrs 40 (1962) 264-271.
17. _, Steady gravity flow of frictional-cohesive solids in converging channels, J. Appl. Mech. 31 (1964) 5-11.
18. _, Gravity flow of frictional-cohesive solids-Convergence to radial stress fields, ibid. 32 (1965) 205-207.
19. J.R. Johanson, Stress and velocity fields in the gravity flow of bulk solids, ibid. 31 (1964) 499-506.
20. N.J. Bradley, Gravity flows of granular materials, Ph.D. Thesis, University of Nottingham (1991).
21. A.J.M. Spencer and N.J. Bradley, Gravity flow of granular materials in converging wedges and cones, Continuum Models and Discrete Systems (ed. K.Z. Markov; World Scientific, Singapore 1996) 581-590.
22. S.B. Savage, Problems in the statics and dynamics of granular materials, Proc. 'Powders and Grains '97' (ed. R.P. Behringer and J.T. Jenkins; Balkema, Rotterdam 1997) 185-194.
23. F. Cantelaube, A.K. Didwania and J.D. Goddard, Elasto-plastic arching in two dimensional granular heaps, Physics of Dry Granular Media (ed. H.J. Herrmann, J.P. Hovi and L. Luding; Kluwer, Dordrecht 1998) 123-127.
24. _ and J.D. Goddard, Elastoplastic arching in 2D heaps, Proc. 'Powders and Grains '97' (ed. R.P. Behringer and J.T. Jenkins; Balkema, Rotterdam 1997) 231-234.
25. A.K. Didwania, F. Cantelaube and J.D. Goddard, Static multiplicity of stress states in granular heaps, Proc. R. Soc. A 456 (2000) 2569-2588.
26. J.M. Hill and G.M. Cox, An exact parametric solution for granular flow in a converging wedge, Z. Angew. Math. Phys. 52 (2001) 657-668.
27. H.S. Carslaw and J.C. Jaeger, Conduction of Heat in Solids, 2nd edn (Clarendon Press, Oxford 1965).
28. R.L. Burden and J.D. Fades, Numerical Analysis, 5th edn (Thomson Publishing, Pacific Grove 1993).