Application of Maxwell method in solution of homogenization problem for anizotropic elastic media with ellipsoidal inclusions
Автор: Levin Valeriy M., Kanaun Serguey K.
Журнал: Ученые записки Петрозаводского государственного университета @uchzap-petrsu
Рубрика: Технические науки
Статья в выпуске: 8 (129) т.1, 2012 года.
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The Maxwell method is applied to calculate effective elastic constants of matrix composite materials containing a random set of anisotropic ellipsoidal inclusions. It is shown that the method allows derivation of analytical equations for effective elastic constants that coincide with the equations obtained by the Mori-Tanaka method and other self-consistent methods known in literature.
Matrix composites, homogenization problem, self-consistent schemes, maxwell''s method, effective properties
Короткий адрес: https://sciup.org/14750335
IDR: 14750335
Список литературы Application of Maxwell method in solution of homogenization problem for anizotropic elastic media with ellipsoidal inclusions
- enveniste Y A new approach to the application of the Mori-Tanaka theory in composite materials//Mechanics of Materials. 1977. Vol. 6. R 147-157.
- Berriman J., Berge R Critique of two explicit schemes for estimating elastic properties of multiphase composites//Mechanics of Materials. 1996. Vol. 22. R 149-164.
- Eshelby J. The determination of the elastic field of an elliptical inclusions, and related problems//Proceedings of the Royal Society of London. 1957. A211. P. 376-396.
- Kanaun S., Levin V. Self-Consistent Methods for Composites. Vol. I. Static Problem. Dordrecht: Springer, 2008. 386 p.
- Kunin I. The Theory of Elastic Media with Microstructure II. Berlin: Heidelberg: N. Y: Springer, 1983. 272 p.
- Kuster G., Toksoz M. Velocity and attenuation of seismic waves in two-phase media I. Theoretical formulation. II. Experimental results//Geophysics. 1974. Vol. 39. P. 587-618.
- Levin V., Kanaun S. Generalized Maxwell method for the calculation of the effective conductivity of matrix composite material//Ученые записки Петрозаводского государственного университета. Сер. «Естественные и технические науки». 2012. № 4(125). С. 87-90.
- Markov K. Elementary Micromechanics of Heterogeneous Media//Heterogeneous Media. Micromechanics Modeling and Simulations/Eds. K. Markov, L. Preziosi. Boston: Birkhauser, 2001. P. 1-162.
- Maxwell J. A Treatise on Electricity and Magnetism. N. Y: Dover, 1954. (Republication of 3rd edition 1891).
- Mori T., Tanaka K. Average stress in matrix and average energy of materials with misfitting inclusions//Acta Metallurgia. 1973. Vol. 21. P. 571-574.
