Geodesic
An asymptotic method for deriving the equations of the Reissner–Mindlin plate theory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2013), pp. 65-67 
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/
@article{VMUMM_2013_2_a14,
     author = {K. A. Skoptsov and S. V. Sheshenin},
     title = {An asymptotic method for deriving the equations of the {Reissner{\textendash}Mindlin} plate theory},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {65--67},
     year = {2013},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2013_2_a14/}
}
TY  - JOUR
AU  - K. A. Skoptsov
AU  - S. V. Sheshenin
TI  - An asymptotic method for deriving the equations of the Reissner–Mindlin plate theory
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2013
SP  - 65
EP  - 67
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2013_2_a14/
LA  - ru
ID  - VMUMM_2013_2_a14
ER  - 
%0 Journal Article
%A K. A. Skoptsov
%A S. V. Sheshenin
%T An asymptotic method for deriving the equations of the Reissner–Mindlin plate theory
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2013
%P 65-67
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2013_2_a14/
%G ru
%F VMUMM_2013_2_a14

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper deals with obtaining the equations of the Kirchhoff–Love and Reissner–Mindlin plate theories using the asymptotic averaging method.

[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