On the computation of steady hopper flows III: Model comparisons

Journal of Computational Physics

Volumn 219, Issue 1, 2006, Pages 443-454

  Gremaud, Pierre A ^a   Matthews, John V ^b   Schaeffer, David G ^c  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

^c DUKE UNIVERSITY   (United States)

Author keywords

Granular; Plasticity; Similarity; Spectral

Indexed keywords

CONFINED FLOW; GRANULAR MATERIALS; HOPPERS;

FIRST ORDER; GRANULAR; GRAVITY FLOWS; HOPPER FLOW; MODELS COMPARISONS; PARTIAL DIFFERENTIAL; SIMILARITY; SIMILARITY SOLUTION; SPECTRAL; VON MISES;

PLASTICITY;

EID: 33750300482     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.03.032     Document Type: Article

References (12)

1. Borja R.I., Sama K.M., and Sanz P.F. On the numerical integration of three-invariant elastoplastic constitutive models. Comp. Methods Appl. Mech. Eng. 192 (2003) 1227-1258
2. Collins I.F. A systematic procedure for constructing critical state models in three dimensions. Int. J. Solids Struct. 40 (2003) 4379-4397
3. Gremaud P.A., and Matthews J.V. On the computation of steady hopper flows: I, Stress determination for Coulomb materials. J. Comput. Phys. 166 (2001) 63-83
4. Gremaud P.A., Matthews J.V., and O'Malley M. On the computation of steady hopper flows II: von Mises materials in various geometries. J. Comput. Phys. 200 (2004) 639-653
5. Gremaud P.A., Matthews J.V., and Schaeffer D.G. Secondary circulation in granular flow through nonaxisymmetric hoppers. SIAM J. Appl. Math. 64 (2003) 583-600
6. A.W. Jenike, Gravity flow of bluk solids, Bulletin No. 108, Utah Eng. Expt. Station, University of Utah, Salt Lake City, 1961.
7. H. Matsuoka, T. Nakai, Stress-deformation and strength characteristics of soils under three different principal stresses, in: Proc. JSCE, No. 232, 1974, pp. 59-70.
8. Nedderman R.M. Static and Kinematic of Granular Materials (1992), Cambridge University Press
9. Powell M.J.D. A Fortran subroutine for solving systems of nonlinear algebraic equations. In: Rabinowitz P. (Ed). Numerical Methods for Nonlinear Algebraic Equations (1970), Gordon and Breach Science Publishers, London, New York, Paris (Chapter 7)
10. Schaeffer D.G. Instability in the evolution equations describing incompressible granular flow. J. Diff. Eq. 66 (1987) 19-50
11. Wambaugh J.F., and Behringer R.P. Asymmetry-induced circulation in granular hopper flows. In: Garcia-Rojo R., Herrmann H.J., and McNamara S. (Eds). Powders and Grains 2005 (2005), A.A. Balkema 915-918
12. J.F. Wambaugh, R.P. Behringer, J.V. Matthews, P.A. Gremaud, Response to perturbation in granular flows (in preparation).