Compaction of aggregated ceramic powders: From contact laws to fracture and yield surfaces

This work describes a methodology based on Discrete Element Method (DEM) simulations to generate yield and fracture surfaces for aggregated ceramic powders. The DEM simulations, which consider the length scale of porous aggregates, are used as numerical triaxial experiments to obtain the behavior of a small volume element of powder under a given load. The experimental identification procedure, which relies on the Design Of Experiment method, is designed to limit the number of experiments and simulations needed to obtain the model material parameters. These material parameters, which model the interactions between aggregates in the DEM simulations are identified using two simple experiments on a Uranium diOxide powder: closed-die compaction and diametrical compression test. The yield and fracture surfaces obtained from the DEM simulations provide valuable information on the behavior of the powder for stress states that are difficult or impossible to attain in complex triaxial tests.

[1]  Norman A. Fleck,et al.  The yield behaviour of metal powders , 1997 .

[2]  Pierre Dorémus,et al.  Near net shape processing of a sintered alumina component: adjustment of pressing parameters through finite element simulation , 2002 .

[3]  O. Lame,et al.  Cohesion and dilatation of powder compacts containing hard phase particles under highly deviatoric stress states , 2000 .

[4]  C. L. Martin Elasticity, fracture and yielding of cold compacted metal powders , 2004 .

[5]  Mojtaba Ghadiri,et al.  Effect of granule morphology on breakage behaviour during compression , 2004 .

[6]  I. C. Sinka,et al.  Constitutive modelling of powder compaction – II. Evaluation of material data , 2007 .

[7]  B. Briscoe,et al.  Characterization of die-pressed green compacts , 1997 .

[8]  Alfred Rotimi Akisanya,et al.  Micro-mechanical modelling of powder compaction , 2001 .

[9]  Christophe L. Martin,et al.  Study of particle rearrangement during powder compaction by the Discrete Element Method , 2003 .

[10]  Franck Toussaint,et al.  Simple tests and standard procedure for the characterisation of green compacted powder , 2000 .

[11]  Ki-tae Kim,et al.  Simulation of Cold Compaction Densification Behavior of Silicon Nitride Ceramic Powder , 1998 .

[12]  Constitutive Data for Powder Compaction Modeling , 2001 .

[13]  O. L. Anderson,et al.  2 - Determination and Some Uses of Isotropic Elastic Constants of Polycrystalline Aggregates Using Single-Crystal Data , 1965 .

[14]  Norman A. Fleck,et al.  Yielding of metal powder bonded by isolated contacts , 1992 .

[15]  S. Shima,et al.  Development of constitutive equations for ceramic powders describing compaction-induced anisotropy , 1993 .

[16]  Wolfgang A. Wall,et al.  A robust computational approach for dry powders under quasi-static and transient impact loadings , 2005 .

[17]  S. Shima,et al.  Compaction‐Induced Anisotropy in Internal Structure of Ceramic Powder , 1993 .

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

[19]  Paul R. Heyliger,et al.  Cold plastic compaction of powders by a network model , 2001 .

[20]  Christian Geindreau,et al.  High pressure triaxial cell for metal powder , 1995 .

[21]  Susumu Shima,et al.  Plasticity theory for porous metals , 1976 .

[22]  Christophe L. Martin,et al.  Discrete Element Simulations of the Compaction of Aggregated Ceramic Powders , 2006 .

[23]  Susumu Shima,et al.  Densification behaviour of ceramic powder , 1986 .

[24]  D. H. Zeuch,et al.  Mechanical properties and shear failure surfaces for two alumina powders in triaxial compression , 2000 .

[25]  F. Dimaggio,et al.  MATERIAL MODEL FOR GRANULAR SOILS , 1971 .

[26]  P. Papet,et al.  Experimental approach of UO2 compaction and analytical modelling of pellet diametric deformations , 2006 .

[27]  D. Souriou,et al.  Influence of the formulation of an alumina powder on compaction , 2009 .

[28]  Hidetoshi Kotera,et al.  A STUDY OF CONSTITUTIVE BEHAVIOUR OF POWDER ASSEMBLY BY PARTICULATE MODELING , 1995 .

[29]  Antonios Zavaliangos,et al.  Recent developments in computer modeling of powder metallurgy processes , 2001 .

[30]  R. Bordia,et al.  Influence of adhesion and friction on the geometry of packings of spherical particles. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  U. Klemm,et al.  Influence of admixing of lubricants on compressibility and compactibility of uranium dioxide powders , 1989 .

[32]  A. Zavaliangos,et al.  Strength anisotropy in cold compacted ductile and brittle powders , 2005 .

[33]  Bruno C. Hancock,et al.  Modelling the mechanical behaviour of pharmaceutical powders during compaction , 2005 .

[34]  Jin Nam,et al.  Localized Densification during the Stage II–III Transition ‐ Compaction Efficiency at High Pressures , 2004 .

[35]  Per-Lennart Larsson,et al.  Similarity analysis of inelastic contact , 1997 .

[36]  P. Dantu,et al.  Etude Statistique des Forces Intergranulaires dans un Milieu Pulverulent , 1968 .

[37]  O. Coube,et al.  Numerical simulation of metal powder die compaction with special consideration of cracking , 2000 .

[38]  S. C. Lee,et al.  A study on the Cap model for metal and ceramic powder under cold compaction , 2006 .

[39]  Seungchul Lee,et al.  Densification behavior of nanocrystalline titania powder under cold compaction , 2008 .

[40]  A. Gajo,et al.  An elastoplastic framework for granular materials becoming cohesive through mechanical densification. Part I – small strain formulation , 2006, 1010.1829.

[41]  Densification Behavior of Ceramic Powder Under Cold Compaction , 2000 .

[42]  T. Ishikawa,et al.  An analysis of density distribution in UO2 green pellet by finite element method , 1998 .

[43]  A. Cocks,et al.  Experimental investigation of yield behaviour of metal powder compacts , 2002 .