Variation principles of moment-membrane theory of shells
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 38-47

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

In the present paper assumptions are formulated and on the basis of the moment theory of elasticity with independent fields of displacements and rotations general variation principle of Hu–Washizu type is established and basic equations with boundary conditions of the moment-membrane theory of shells are set out. For the moment-membrane theory of shells particular variation principles of Lagrange and Castigliano type are proved, equations of continuity of deformations of the middle surface of the shell are derived.
@article{VMUMM_2022_1_a4,
     author = {C. H. Sarkysyan},
     title = {Variation principles of moment-membrane theory of shells},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {38--47},
     publisher = {mathdoc},
     number = {1},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a4/}
}
TY  - JOUR
AU  - C. H. Sarkysyan
TI  - Variation principles of moment-membrane theory of shells
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2022
SP  - 38
EP  - 47
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a4/
LA  - ru
ID  - VMUMM_2022_1_a4
ER  - 
%0 Journal Article
%A C. H. Sarkysyan
%T Variation principles of moment-membrane theory of shells
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2022
%P 38-47
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a4/
%G ru
%F VMUMM_2022_1_a4
C. H. Sarkysyan. Variation principles of moment-membrane theory of shells. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 1 (2022), pp. 38-47. http://geodesic.mathdoc.fr/item/VMUMM_2022_1_a4/