Abstract
Discrete element method (DEM) is used to study the factors affecting agglomeration in three-dimensional copper particle systems during solid-state sintering. A new parameter is proposed to characterize agglomeration. The effects of a series of factors are studied, including particle size, size distribution, inter-particle tangential viscosity, temperature, initial density and initial distribution of particles on agglomeration. We find that the systems with smaller particles, broader particle size distribution, smaller viscosity, higher sintering temperature and smaller initial density have stronger particle agglomeration and different distributions of particles induce different agglomerations. This study should be very useful for understanding the phenomenon of agglomeration and the micro-structural evolution during sintering and guiding sintering routes to avoid detrimental agglomeration.
Similar content being viewed by others
References
Reeve, K.: Non-uniform shrinkage in sintering. Am. Ceram. Soc. Bull. 42, 452 (1963)
Petzow, G., Exner, H.E.: Particle rearrangement in solid-state sintering. Z. Metallk. 67, 611–618 (1976)
Exner, H.E., Petzow, G.: Shrinkage and rearrangement during sintering of glass spheres. In: Kuczynski, G.C. ed. Sintering and Catalysis. Plenum Press Publ. Corp., New York 279–293 (1975)
Weiser, M.W., Dejonghe, L.C.: Rearrangement during sintering in two-dimensional arrays. J. Am. Ceram. Soc. 69, 822–826 (1986)
Claussen, N., Exner, H.E.: Influence of sintering on fine powder compacts for catalyst application. Powder Metall. 15, 202–215 (1972)
Ada, K., Onal, M., Sarikaya, Y.: Investigation of the intraparticle sintering kinetics of a mainly agglomerated alumina powder by using surface area reduction. Powder Technol. 168, 37–41 (2006)
Kuo, J., Bourell, D.L.: Structural evolution during calcination of sol-gel synthesized alumina and alumina-8 vol% zirconia composite. J. Mater. Sci. 32, 2687–2692 (1997)
Palmero, P., Lombardi, M., Montanaro, L., et al.: Effect of heating rate on phase and microstructural evolution during pressureless sintering of a nanostructured transition alumina. Int. J. Appl. Ceram. Technol. 6, 420–430 (2009)
Huppmann, W.J., Riegger, H.: Modeling of rearrangement processes in liquid-phase sintering. Acta Metall. 23, 965–971 (1975)
Linardos, S., Zhang, Q., Alcock, J.R.: An investigation of the parameters effecting the agglomerate size of a pzt ceramic powder prepared with a sol-gel technique. J. Eur. Ceram. Soc. 27, 231–235 (2007)
Trunec, M., Dobsak, P., Cihlar, J.: Effect of powder treatment on injection moulded zirconia ceramics. J. Eur. Ceram. Soc. 20, 859–866 (2000)
Rhodes, W.H.: Agglomerate and particle-size effects on sintering yttria-stabilized zirconia. J. Am. Ceram. Soc. 64, 19–22 (1981)
Lange, F.F.: Processing-related fracture origins. 1. Observations in sintered and isostatically hot-pressed Al2O3/ZrO2 composites. J. Am. Ceram. Soc. 66, 396–398 (1983)
Kadushnikov, R.M., Skorokhod, V.V.: Simulating zonal segregation in powder sintering. Sov. Powder Metall. Met. Ceram. 30, 557–561 (1991)
Kadushnikov, R.M., Alievskii, D.M., Alievskii, V.M., et al.: Computer-simulation for microstructure evolution in a polydisperse material on sintering. 2. Zoned segregation. Sov. Powder Metall. Met. Ceram. 30, 356–360 (1991)
Martin, C.L., Bouvard, D., Delette, G.: Discrete element simulations of the compaction of aggregated ceramic powders. J. Am. Ceram. Soc. 89, 3379–3387 (2006)
Kim, J.C., Martin, D.M., Lim, C.S.: Effect of rearrangement on simulated particle packing. Powder Technol. 126, 211–216 (2002)
Ciftcioglu, M., Akinc, M., Burkhart, L.: Effect of agglomerate strength on sintered density for yttria powders containing agglomerates of monosize spheres. J. Am. Ceram. Soc. 70, C329–C334 (1987)
Olmos, L., Martin, C.L., Bouvard, D., et al.: Investigation of the sintering of heterogeneous powder systems by synchrotron microtomography and discrete element simulation. J. Am. Ceram. Soc. 92, 1492–1499 (2009)
Olmos, L., Takahashi, T., Bouvard, D., et al.: Analysing the sintering of heterogeneous powder structures by in situ microtomography. Philos. Mag. 89, 2949–2965 (2009)
Bernard, D., Gendron, D., Heintz, J.M., et al.: First direct 3d visualisation of microstructural evolutions during sintering through x-ray computed microtomoaraphy. Acta Mater. 53, 121–128 (2005)
Lame, O., Bellet, D., Di Michiel, M., et al.: Bulk observation of metal powder sintering by x-ray synchrotron microtomography. Acta Mater. 52, 977–984 (2004)
Vagnon, A., Riviere, J.P., Missiaen, J.M., et al.: 3d statistical analysis of a copper powder sintering observed in situ by synchrotron microtomography. ActaMater. 56, 1084–1093 (2008)
Martin, C.L., Schneider, L.C.R., Olmos, L., et al.: Discrete element modeling of metallic powder sintering. Scr. Mater. 55, 425–428 (2006)
Martin, C.L., Bouvard, D., Shima, S.: Study of particle rearrangement during powder compaction by the discrete element method. J. Mech. Phys. Solids 51, 667–693 (2003)
Henrich, B., Wonisch, A., Kraft, T., et al.: Simulations of the influence of rearrangement during sintering. Acta Mater. 55, 753–762 (2007)
Wang, D., Zhou, Y.: Particle dynamics in dense shear granular flow. Acta Mech. Sin. 26, 91–100 (2010)
Olmos, L., Martin, C.L., Bouvard, D.: Sintering of mixtures of powders: Experiments and modelling. Powder Technol. 190, 134–140 (2009)
Parhami, F., McMeeking, R.M.: A network model for initial stage sintering. Mech. Mater. 27, 111–124 (1998)
Wonisch, A., Guillon, O., Kraft, T., et al.: Stress-induced anisotropy of sintering alumina: Discrete element modelling and experiments. Acta Mater. 55, 5187–5199 (2007)
Martin, C.L., Bordia, R.K.: The effect of a substrate on the sintering of constrained films. Acta Mater. 57, 549–558 (2009)
Martin, C.L., Camacho-Montes, H., Olmos, L., et al.: Evolution of defects during sintering: Discrete element simulations. J. Am. Ceram. Soc. 92, 1435–1441 (2009)
Cundall, P.A., Strack, O.D.L.: Discrete numerical-model for granular assemblies. Geotechnique 29, 47–65 (1979)
Thornton, C., Antony, S.: Quasi-static deformation of particulate media. Philos. Trans. R. Soc. A-Math. Phys. Eng. Sci. 356, 2763–2782 (1998)
Bouvard, D., McMeeking, R.M.: Deformation of interparticle necks by diffusion-controlled creep. J. Am. Ceram. Soc. 79, 666–672 (1996)
Wonisch, A., Kraft, T., Moseler, M., et al.: Effect of different particle size distributions on solid-state sintering: A microscopic simulation approach. J. Am. Ceram. Soc. 92, 1428–1434 (2009)
Wonisch, A., Kraft, T., Moseler, M., et al.: Discrete element simulations of constrained ceramic powder sintering. Ceramic forum international: CFI. Berichte der Deutschen Keramischen Gesellschaft 85, 18–23 (2008)
Parhami, F., McMeeking, R.M., Cocks, A.C.F., et al.: A model for the sintering and coarsening of rows of spherical particles. Mech. Mater. 31, 43–61 (1999)
Pan, J., Le, H., Kucherenko, S., et al.: A model for the sintering of spherical particles of different sizes by solid state diffusion. Acta Mater. 46, 4671–4690 (1998)
Fang, T.T., Hsieh, H.L.: Experimental assessment of modified statistical-theory of sintering. J. Mater. Sci. 27, 4639–4646 (1992)
Author information
Authors and Affiliations
Corresponding author
Additional information
The project was supported by the National Natural Science Foundation of China (10972220, 11125211 and 11021262) and 973 Project (2012CB937500).
Rights and permissions
About this article
Cite this article
Wang, C., Chen, SH. Factors influencing particle agglomeration during solid-state sintering. Acta Mech Sin 28, 711–719 (2012). https://doi.org/10.1007/s10409-012-0029-3
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10409-012-0029-3