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Glass and Ceramics
Erschienen in: Glass and Ceramics 9-10/2019

28.01.2019

Hard-Sphere Close-Packing Models: Possible Applications for Developing Promising Ceramic and Refractory Materials (Review)

verfasst von: A. V. Smirnov, S. G. Ponomarev, V. P. Tarasovskii, V. V. Rybal’chenko, A. A. Vasin, V. V. Belov

Erschienen in: Glass and Ceramics | Ausgabe 9-10/2019

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Abstract

The current status of theoretical research on close-packed systems of hard spheres is reviewed. The basic models of regular and random close-packings of hard spheres are described. Examples are presented of the application of modeling of the close packing of hard spheres for solving applied problems in the development of promising materials made from ceramics, including refractories.
Vorheriger Artikel Thermophysical Properties of Silicon-Carbide-Based Ceramic Composite Materials Obtained by Spark Plasma Sintering (SPS)
Nächster Artikel Latest Research on the Development of High-Quality Aluminum-Oxide Ceramics (Review). Part 2. Synthesis and Sintering of Nanopowders, Sol-Gel and Other Methods of Producing Finely Disperse and Fibrous Aluminum Oxide

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Literatur
1.
G. Parisi and F. Zamponi, “Mean-field theory of hard sphere glasses and jamming,” Rev. Mod. Phys., 82(1), 789 – 845 (2011).CrossRef
2.
A. R. Kansal, T. M. Truskett, and S. Torquato, “Nonequilibrium hard-disk packings with controlled orientational order,” J. Chem. Phys., 113(12), 4844 – 4851 (2000).CrossRef
3.
4.
T. P. Bondareva, “Computer simulation of the structure of random packing of systems of spherical particles,” Nauch. Vedom. Belgorod. Gos. Univ., Ser. Ékonomika, Informatika, 25(1-1), 78 – 85 (2013).
5.
6.
7.
A. L. Mackay, “A dense noncrystallographic packing of equal spheres,” Acta Cryst., 15(9), 916 – 918 (1962).CrossRef
8.
D. Hilbert and S. Cohn-Vossen, Geometry and the Imagination, Chelsea, New York (1999), pp. 45 – 53.
9.
H. Steinhaus, Mathematical Snapshots, Dover, New York (1999), pp. 202 – 203.
10.
D. Wells, The Penguin Dictionary of Curious and Interesting Geometry, Penguin, London (1991), pp. 237 – 238.
11.
T. Aste, “Circle, sphere, and drop packings,” Phys. Rev. E, 53, 2571 (1996).CrossRef
12.
G. D. Scott and D. M. Kilgour, “The density of random close packing of spheres,” Brit. J. Appl. Phys., 2(6), 863 (1969).
13.
O. Pouliquen, M. Nicolas, and P. D. Weidman, “Crystallization of non-Brownian spheres under horizontal shaking,” Phys. Rev. Lett., 79, 3640 – 3643 (1997).CrossRef
14.
E. E. Lord, A. L. Mackay, and S. Ranganathan, New Geometry for New Materials [Russian translation], Fizmatlit, Moscow (2010).
15.
J. D. Bernal, “A geometrical approach to the structure of monatomic liquids,” Nature, 183, 141 – 147 (1959).CrossRef
16.
J. D. Bernal, “Geometry of the structure of monatomic liquids,” Nature A, 185, 68 – 70 (1960).CrossRef
17.
J. D. Bernal, “The structure of liquids,” Sci. Am. B, 201, 124 – (1)31 (1960).
18.
J. D. Bernal, “The structure of liquids,” Proc. Roy. Soc. London A, 208, 299 – 322 (1964a).
19.
J. D. Bernal, “The structure of liquids” New Sci. B, No. 8, 453 – 435 (1964).
20.
S. Torquato, T. M. Truskett, and P. G. Debenedetti, “Is random close packing of spheres well defined?,” Phys. Rev. Lett., 20(5), 20 (2000).
21.
J. M. Wills, “A quasicrystalline sphere-packing with unexpected high density,” J. Phys. France, 51, 860 – 864 (1990).CrossRef
22.
K. Gotoh and J. L. Finney, “Statistical geometrical approach to random packing density of equal spheres,” Nature, 252, 202 – 205 (1974).CrossRef
23.
24.
P. I. O’Toole and T. S. Hudson, “New high-density packings of similarly sized binary spheres,” J. Phys. Chem. C, 115(39), 19037 (2011).CrossRef
25.
26.
M. Borkovec, W. De Paris, and R. Peikert, “The fractal dimension of the Apollonian sphere packing,” Fractals, 2(4), 521 – 526 (1994).CrossRef
27.
R. Blaak, “Optimal packing of polydisperse hard-sphere fluids, II,” J. Chem. Phys., 112, 9041 (2000).CrossRef
28.
J. Zhang, R. Blaak, E. Trizac, et al., “Optimal packing of polydisperse hard-sphere fluids,” J. Chem. Phys., 110, 5318 (1999).CrossRef
29.
V. Baranau, D. Hlushkou, S. Khirevich, and U. Tallarek, “Pore-size entropy of random hard-sphere packings,” Soft Matter, No. 9, 3361 – 3372 (2013).
30.
V. Baranau and U. Tallare, “Random-close packing limits for monodisperse and polydisperse hard spheres,” Soft Matter, No. 10, 3826 – 3841 (2014).
31.
V. V. Belov and M. A. Smirnov, Building Composites of Optimized Mineral Mixtures [in Russian], TvGTU, Tver (2012): URL: www.​sunspire.​ru (appeal date: 11/17/2017).
32.
A. R. Kansai, S. Torquato, and F. H. Stillinger, “Computer generation of dense polydisperse sphere packings,” J. Chem. Phys., ll7, 8212 (2002).CrossRef
33.
R. M. Baram and H. J. Herrmann, “Self-similar space – filling packings in three dimensions,” Fractals, 12(3), 293 (2004).CrossRef
34.
R. G. Eromasov, Composite Ceramic Materials Based on Coarse-Grained Technogenic Filler, Author’s Abstract of Candidate’s Thesis [in Russian], Krasnoyarsk (2014).
35.
V. V. Belov, M. A. Smirnov, and I. V. Obraztsov, “Theoretical foundations of the method of optimizing the particle size composition of compositions for producing non-firing construction conglomerates,” Stroit. Mater., Oborud., Tekhnol. XXI Veka, No. 6 (2012); URL: www.​sunspire.​ru (appeal date: 11/17/2017).
36.
I. I. Loktev, K. Yu. Vergazov, V. A. Vlasov, and I. A. Tikhomirov, “On modeling some technological properties of dispersed materials,” Izv. TPU, 308(6), 85 – 89 (2005).
37.
V. V. Belov, I. V. Obraztsov, V. K. Ivanov, and E. N. Konoplev, Computer Implementation of the Solution of Scientific, Technical and Educational Problems [in Russian], TvGTU, Tver (2015); URL: www.​sunspire.​ru (appeal date: 11/17/2017).
38.
Yu. E. Pivinskii, Theoretical Aspects of the Technology of Ceramics and Refractories: Selected Works, Vol. 1 [in Russian], St. Petersburg (2003).
39.
G. D. Scott, “Radial distribution of the random close packing of equal spheres,” Nature, 192, 956 – 957 (1962).CrossRef
40.
A. G. Aslamazov and A. A. Varlamov, Amazing Physics, Dobrosvet, Moscow (2002).
41.
G. A. Tingate, “Some geometrical properties of packings of equal spheres in cylindrical vessels,” Nuclear Eng. Design, 24, 153 – 179 (1973).CrossRef
42.
G. E. Mueller, “Radial void fraction distributions in randomly packed fixed beds of uniformly sized spheres in cylindrical containers,” Powder Technol., 72, 269 – 275 (1992).CrossRef
43.
Yi. Gan, M. Kamlah, and J. Reimann, “Computer simulation of packing structure in pebble beds,” Fusion Eng. Design, 85, 1782 – 1787 (2010).CrossRef
44.
R. P. Zou and A. B. Yu, “The packing of spheres in a cylindrical container: The thickness effect,” Chem. Eng. Sci., 50, 1504 – 1507 (1995).CrossRef
45.
R. M. German, Particle Packing Characteristics, Metal Powder Industries Federation, Princeton, New Jersey (1989).
46.
R. K. McGeary, “Mechanical packing of spherical particles,” J. Am. Ceram. Soc., 44, 513 – 522 (1961).CrossRef
47.
R. Lakes, “Materials with structural hierarchy,” Nature, 361, 511 – 515 (1993).CrossRef
48.
R. Fratzl and R. Weinkamer, “Nature’s hierarchical materials,” Progr. Mater. Sci., 52, 1263 – 1334 (2007).CrossRef
49.
E. Olevsky, “Theory of sintering: from discrete to continuum,” Mater. Sci. Eng., R23, 41 – 100 (1998).CrossRef
50.
V. Tikare, M. Braginsky, and E. A. Olevsky, “Numerical simulation of solid-state sintering: I, Sintering of three particles,” J. Am. Ceram. Soc., 86(1), 49 – 53 (2003).CrossRef
51.
M. Braginsky, V. Tikare, and E. Olevsky, “Numerical simulation of solid state sintering,” Int. J. Solids Struct., 42, 621 – 636 (2005).CrossRef
Metadaten
Titel
Hard-Sphere Close-Packing Models: Possible Applications for Developing Promising Ceramic and Refractory Materials (Review)
verfasst von
A. V. Smirnov
S. G. Ponomarev
V. P. Tarasovskii
V. V. Rybal’chenko
A. A. Vasin
V. V. Belov
Publikationsdatum
28.01.2019
Verlag
Springer US
Erschienen in
Glass and Ceramics / Ausgabe 9-10/2019
Print ISSN: 0361-7610
Elektronische ISSN: 1573-8515
DOI
https://doi.org/10.1007/s10717-019-00083-9

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