Abstract
The mechanical behavior of porous ceramic materials with a stochastic structure of their pore space is numerically studied during shear loading. The calculations are performed by the mobile cellular automaton method. A procedure is proposed for a numerical description of the internal structure of such materials using the dispersion of the pore distribution in layers that are parallel to the loading direction in a sample. The dependence of the macroscopic elastic properties of porous media on their internal structure is analyzed. Samples with spherical pores and pores extended along the loading direction exhibit a correlation between their average shear modulus and the dispersion of a pore distribution. Thus, the results obtained indicate that the shear modulus of such media is a structure-sensitive property. The proposed approach can be applied to compare the elastic properties of samples using data on their pore structure.
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References
B. D. Annin, A. L. Kalmakarov, A. G. Kolpakov, et al., Calculation and Development of Composite Materials and Constructions (Nauka, Novosibirsk, 1993) [in Russian].
B. E. Pobedrya, Mechanics of Composite Materials (Mosk. Gos. Univ., Moscow, 1984) [in Russian].
Mechanics of Composite Materials, Ed. by G. P. Sendeckyj (Academic, New York, 1974; Mir, Moscow, 1978), Vol. 2.
V. V. Skorokhod, in Powder Metallurgy (Naukova Dumka, Kiev, 1977), pp. 120–129 [in Russian].
V. V. Skorokhod, Inzh.-Fiz. Zh. 2, 51 (1959).
R. A. Andrievskii and I. I. Spivak, Strength of Refractory Compounds and Materials on Their Basis: A Handbook (Metallurgiya, Chelyabinsk, 1989) [in Russian].
S. Psakhie, Y. Horie, G. Ostermeyer, et al., Theor. Appl. Fract. Mech. 37, 311 (2001).
S. N. Kul’kov, S. P. Buyakova, and V. I. Maslovskii, Vestn. Tomsk. Gos. Univ., No. 13, 34 (2003).
A. A. Reuss, Z. Angew. Math. Mech. 9, 49 (1929).
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Original Russian Text © Ig.S. Konovalenko, A.Yu. Smolin, S.Yu. Korostelev, S.G. Psakh’e, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 5, pp. 155–158.
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Konovalenko, I.S., Smolin, A.Y., Korostelev, S.Y. et al. Dependence of the macroscopic elastic properties of porous media on the parameters of a stochastic spatial pore distribution. Tech. Phys. 54, 758–761 (2009). https://doi.org/10.1134/S1063784209050272
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DOI: https://doi.org/10.1134/S1063784209050272