An asymptotic method for deriving the equations of the Reissner–Mindlin plate theory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 65-67 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper deals with obtaining the equations of the Kirchhoff–Love and Reissner–Mindlin plate theories using the asymptotic averaging method.
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K. A. Skoptsov; S. V. Sheshenin. An asymptotic method for deriving the equations of the Reissner–Mindlin plate theory. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 65-67. http://geodesic.mathdoc.fr/item/VMUMM_2013_2_a14/

[1] Ilyushin A.A., Lenskii V.S., Soprotivlenie materialov, FIZMATGIZ, M., 1959

[2] Kohn R.V., Vogelius M., “A new model for thin plates with rapidly varying thickness”, Int. J. Solids and Struct., 20:4 (1984), 333–350 | DOI | MR

[3] Bakhvalov N.S., Panasenko G.P., Osrednenie protsessov v periodicheskikh sredakh. Matematicheskie zadachi mekhaniki kompozitsionnykh materialov, Nauka, M., 1984 | MR

[4] Pobedrya B.E., Mekhanika kompozitsionnykh materialov, Izd-vo MGU, M., 1984

[5] Sheshenin S.V., “Asimptoticheskii analiz periodicheskikh v plane plastin”, Izv. RAN. Mekhan. tverdogo tela, 2006, no. 6, 71–79

[6] Sheshenin S.V., “Primenenie metoda osredneniya k plastinam, periodicheskim v plane”, Vestn. Mosk. un-ta. Matem. Mekhan., 2006, no. 1, 47–51 | MR

[7] Mindlin R.D., “Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates”, ASME J. Appl. Mech., 18 (1951), 31–38

[8] Reissner E., “The effect of transverse shear deformation on the bending of elastic plates”, ASME J. Appl. Mech., 12 (1945), A68–A77 | MR