Approach to structural anisotropy in compacted cohesive powder

We investigate the mesoscopic regime between microscopic particle properties and macroscopic bulk behavior and present a complementary approach of physical experiments and discrete element method simulations to explore the development of the microstructure of cohesive powders during compaction. On the experimental side, a precise micro shear tester $$(\mu \hbox {ST})$$(μST) for very small powder samples has been developed and integrated into a high resolution X-ray microtomography (XMT) system. The combination of $$\mu \hbox {ST}$$μST and XMT provides the unique possibility to access the 3D microstructure and the particle network inside manipulated powder samples experimentally. In simulations we explore the structural changes resulting from compaction: a Hertzian contact model is utilized for compaction of an isotropic initial configuration created by a geometrical algorithm. As a first result of this approach we present the analysis of the compaction of slightly cohesive $$\hbox {SiO}_2$$SiO2 particles with special regard to bulk density, heterogeneity, compaction law and structural anisotropy.

[1]  J. Lacaze,et al.  Cold compaction of iron powders—relations between powder morphology and mechanical properties: Part I: Powder preparation and compaction , 2002 .

[2]  B. M. Smirnov The properties of fractal clusters , 1990 .

[3]  D. N. Sutherland,et al.  Floc simulation: The effect of collision sequence , 1971 .

[4]  D. Wolf,et al.  Force Schemes in Simulations of Granular Materials , 1996 .

[5]  Kimio Kawakita,et al.  Some considerations on powder compression equations , 1971 .

[6]  J. Roux,et al.  Computer simulation of model cohesive powders: plastic consolidation, structural changes, and elasticity under isotropic loads. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  B. V. Derjaguin,et al.  Effect of contact deformations on the adhesion of particles , 1975 .

[8]  Xiaodong Jia,et al.  Combining X-ray microtomography with computer simulation for analysis of granular and porous materials , 2010 .

[9]  P. Meakin Effects of cluster trajectories on cluster-cluster aggregation: A comparison of linear and Brownian trajectories in two- and three-dimensional simulations , 1984 .

[10]  J. A. Elliott,et al.  On an analytical solution for the damped Hertzian spring , 2011 .

[11]  F. Radjai,et al.  Identification of rolling resistance as a shape parameter in sheared granular media. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Jürgen Tomas,et al.  Adhesion of ultrafine particles—Energy absorption at contact , 2007 .

[13]  James C. Wang Young's modulus of porous materials , 1984 .

[14]  A Castellanos,et al.  Physics of compaction of fine cohesive particles. , 2005, Physical review letters.

[15]  Christopher M. Wensrich,et al.  Rolling friction as a technique for modelling particle shape in DEM , 2012 .

[16]  Bruno C. Hancock,et al.  Application of X‐ray Microtomography and Image Processing to the Investigation of a Compacted Granular System , 2006 .

[17]  Yutaka Tsuji,et al.  Lagrangian numerical simulation of plug flow of cohesionless particles in a horizontal pipe , 1992 .

[18]  Stefan Luding,et al.  Anisotropy in cohesive, frictional granular media , 2005 .

[19]  G. Bartels,et al.  Pore Stabilization in Cohesive Granular Systems , 2002, cond-mat/0206572.

[20]  J. Valverde,et al.  Compaction of fine powders: from fluidized agglomerates to primary particles , 2006 .

[21]  N. Estrada,et al.  Shear strength and force transmission in granular media with rolling resistance. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[22]  John J. Lannutti,et al.  Localized Densification during the Compaction of Alumina Granules: The Stage I—II Transition , 2004 .

[23]  G. Bartels,et al.  The effect of contact torques on porosity of cohesive powders , 2004, cond-mat/0403110.

[24]  Valéry Bourny,et al.  Discrete modelling of electrical transfer in multi-contact systems , 2012 .

[25]  Unilateral interactions in granular packings: a model for the anisotropy modulus , 2012, 1205.4593.

[26]  Gioacchino Viggiani,et al.  X-ray microtomography for studying localized deformation in fine-grained geomaterials under triaxial compression , 2004 .

[27]  S. Luding,et al.  A local constitutive model with anisotropy for ratcheting under 2D axial-symmetric isobaric deformation , 2011 .

[28]  A. Kwade,et al.  Measurement of the micromechanical properties of nanostructured aggregates via nanoindentation , 2012 .

[29]  S. Luding Cohesive, frictional powders: contact models for tension , 2008 .

[30]  Hans-Jürgen Butt,et al.  Adhesion and Friction Forces between Spherical Micrometer-Sized Particles , 1999 .

[31]  Thorsten Pöschel,et al.  Fractal substructure of a nanopowder. , 2008, Physical review letters.

[32]  R. M. Spriggs Expression for Effect of Porosity on Elastic Modulus of Polycrystalline Refractory Materials, Particularly Aluminum Oxide , 1961 .