Geodesic
To the theory of nonlinear hardening of elastic medium with unstable phase structure
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 171-177 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the published work mathematical models of phase changes in elastic medium with unstable phase structure are presented. Mechanical behavior of material, in which new phase forms separate inclusions, and material, where new and old phases form interpenetrating skeletons is researched. Statistical averaging of nonlinear systems of equilibrium equations of microinhomogenities with unstable components allows to establish macroscopically determining equations of their deformation and calculate their effective characteristics.
Keywords: determining equations, phase changes, effective characteristics, microinhomogenities, statistical averaging. 
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     author = {A. L. Saraev},
     title = {To the theory of nonlinear hardening of elastic medium with unstable phase structure},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {171--177},
     year = {2009},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_4_a11/}
}
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A. L. Saraev. To the theory of nonlinear hardening of elastic medium with unstable phase structure. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2009), pp. 171-177. http://geodesic.mathdoc.fr/item/VSGU_2009_4_a11/

[1] Saraev L. A., Modelirovanie makroskopicheskikh plasticheskikh svoistv mnogokomponentnykh kompozitsionnykh materialov, Izd-vo “Samarskii universitet”, Samara, 2000, 282 pp. | Zbl

[2] Saraev L. A., Gluschenkov V. S., Neuprugie svoistva mnogokomponentnykh kompozitov so sluchainoi strukturoi, Izd-vo “Samarskii universitet”, Samara, 2004, 164 pp.

[3] Saraev A. L., “K teorii fazovykh prevraschenii v kompozitsionnykh materialakh s nestabilnymi komponentami”, Vestnik Samarskogo gosudarstvennogo tekhnicheskogo universiteta. Estestvennonauchnaya seriya, 2007, no. 2, 85–89