Geodesic
On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 1, pp. 15-24

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The generalized statement for the problem of determining the stress-strain state of sandwich plates with a transversely soft filler in the presence of constraints is given. Its correctness is discussed. This statement is formulated in the form of finding a saddle point of some functional. The existence and uniqueness theorems are proved. An iterative method for solving the problem is proposed. Its convergence is investigated.
Keywords: sandwich plate, transversely soft filler, saddle point, existence theorem, uniqueness theorem, iterative method. 
@article{UZKU_2015_157_1_a1,
     author = {I. B. Badriev and G. Z. Garipova and M. V. Makarov and V. N. Paimushin and R. F. Chabibullin},
     title = {On solving physically nonlinear equilibrium problems for sandwich plates with a~transversely soft filler},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {15--24},
     publisher = {mathdoc},
     volume = {157},
     number = {1},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2015_157_1_a1/}
}
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I. B. Badriev; G. Z. Garipova; M. V. Makarov; V. N. Paimushin; R. F. Chabibullin. On solving physically nonlinear equilibrium problems for sandwich plates with a transversely soft filler. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 157 (2015) no. 1, pp. 15-24. http://geodesic.mathdoc.fr/item/UZKU_2015_157_1_a1/