Using a deformable discrete–element technique to model the compaction behaviour of mixed ductile and brittle particulate systems

This paper illustrates the application of a combined discrete– and finite–element simulation to the compaction of assemblies comprising both ductile and brittle particles. Through case studies, the results demonstrate the importance of using a fine mesh on the particle boundary, the effect of fragmentation and its impact on the form of the compression curve, and the effect of inclusion of ductile particles at ca. 25% by volume suppressing brittle failure mechanisms. Although, the calculations can be extended to three dimensions, the computational cost is a current limitation on such calculations. The novelty of this approach is in its ability to predict material yield surfaces for the compaction of a mixture of particles. The initial results are optimistic, but there is a need for model improvement, principally through the ability to capture the random packing of irregular particles since this will eliminate a key problem in defining an initial density for the simulation. The main advantage of this technology is in its ability to minimize the need for expensive triaxial testing of samples to develop the yield–surface history.

[1]  Norman A. Fleck,et al.  THE COMPACTION OF A RANDOM DISTRIBUTION OF METAL CYLINDERS BY THE DISCRETE ELEMENT METHOD , 2001 .

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

[3]  A. Gurson Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media , 1977 .

[4]  P. A. Cundall,et al.  NUMERICAL MODELLING OF DISCONTINUA , 1992 .

[5]  Hans-Åke Häggblad,et al.  Comparison of computer models representing powder compaction process: State of the art review , 1999 .

[6]  Ricardo Dobry,et al.  DISCRETE MODELLING OF STRESS‐STRAIN BEHAVIOUR OF GRANULAR MEDIA AT SMALL AND LARGE STRAINS , 1992 .

[7]  D. Owen,et al.  A combined finite‐discrete element method in transient dynamics of fracturing solids , 1995 .

[8]  Exploration of die wall friction for powder compaction using a discrete finite element modelling technique , 2001 .

[9]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

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

[12]  Rajesh Ransing,et al.  Numerical comparison of a deformable discrete element model and an equivalent continuum analysis for the compaction of ductile porous material , 2001 .

[13]  I. C. Sinka,et al.  High pressure triaxial facility for powder compaction , 2000 .

[14]  B. Schrefler,et al.  The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media , 1998 .