An effective-medium analysis of confined compression of granular materials

A simplified model for confined compression of granular materials is considered, which idealizes the collection of particles as a (central) force network. Applying an effective-medium procedure, an equation with micromechanically well-defined parameters is derived, which relates the applied pressure to the engineering strain of the powder during uniaxial compression. Despite the simplicity of the model, comparison with experimental data for mm-sized spherical granules indicates that this equation is able to satisfactorily predict the overall compression profile from single-particle data.

[1]  H Leuenberger,et al.  Pressure susceptibility of polymer tablets as a critical property: a modified Heckel equation. , 1999, Journal of pharmaceutical sciences.

[2]  G. Alderborn,et al.  Pharmaceutical Powder Compaction Technology , 1995 .

[3]  S. Havlin,et al.  Diffusion in disordered media , 2002 .

[4]  Ali Hassanpour,et al.  Single and bulk compressions of soft granules: Experimental study and DEM evaluation , 2005 .

[5]  C. Thornton,et al.  A theoretical model for the stick/bounce behaviour of adhesive, elastic-plastic spheres , 1998 .

[6]  Pierre Tchoreloff,et al.  Modelling the compaction behaviour of powders: application to pharmaceutical powders , 2002 .

[7]  Roland W. Lewis,et al.  A combined finite‐discrete element method for simulating pharmaceutical powder tableting , 2005 .

[8]  Jpk Seville,et al.  Agglomerate strength measurement using a uniaxial confined compression test , 1994 .

[9]  K. Walton,et al.  The effective elastic moduli of a random packing of spheres , 1987 .

[10]  Hans Leuenberger,et al.  The compressibility and compactibility of powder systems , 1982 .

[11]  H. Makse,et al.  A phase diagram for jammed matter , 2008, Nature.

[12]  S. Kirkpatrick Percolation and Conduction , 1973 .

[13]  Feng,et al.  Effective-medium theory of percolation on central-force elastic networks. , 1985, Physical review. B, Condensed matter.

[14]  M. Adams,et al.  A micromechanical model for the confined uni-axial compression of an assembly of elastically deforming spherical particles , 1997 .

[15]  Göran Frenning,et al.  An efficient finite/discrete element procedure for simulating compression of 3D particle assemblies , 2008 .

[16]  Thorpe,et al.  Rigidity of randomly intercalated layered solids. , 1989, Physical review. B, Condensed matter.

[17]  D. M. Walker An approximate theory for pressures and arching in hoppers , 1966 .

[18]  Hernan A. Makse,et al.  Why Effective Medium Theory Fails in Granular Materials , 1999 .

[19]  Ken Welch,et al.  On the physical interpretation of the Kawakita and Adams parameters derived from confined compression of granular solids , 2008 .

[20]  Ali Hassanpour,et al.  Distinct element analysis and experimental evaluation of the Heckel analysis of bulk powder compression , 2004 .

[21]  J MEAD,et al.  Mechanical properties of lungs. , 1961, Physiological reviews.

[22]  G. Frenning Analysis of pharmaceutical powder compaction using multiplicative hyperelasto-plastic theory , 2007 .

[23]  I. C. Sinka,et al.  The effect of wall friction in the compaction of pharmaceutical tablets with curved faces: a validation study of the Drucker–Prager Cap model , 2003 .