Solving physically nonlinear equilibrium problems for sandwich plates with a transversally soft core

被引：32
作者：
Badriev I.B. [1 ]
Garipova G.Z. [1 ]
Makarov M.V. [1 ,2 ]
Paimushin V.N. [1 ,2 ]
Khabibullin R.F. [1 ]
机构：
[1] Kazan Federal University, Kremlevskaya ul. 18, KazanTatarstan
[2] Tupolev Kazan National Research Technical University, ul. Karla Marksa 10, KazanTatarstan
来源：
Lobachevskii Journal of Mathematics | 2015年 / 36卷 / 4期
关键词：
existence theorem; iterative method; saddle point; sandwich plate; transversally soft core; uniqueness theorem;
D O I：
10.1134/S1995080215040216
中图分类号：
学科分类号：
摘要：
A generalized statement of the problem of determining the stress-strain state of sandwich plates with a transversally soft core in the presence of constraints is proposed. Its correctness is discussed. The generalized problem is stated as the problem of finding a saddle point of some functional. The existence and uniqueness of a solution is proved. An iterative method for solving the problem is proposed and its convergence is studied. © 2015, Pleiades Publishing, Ltd.
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页码：474 / 481
页数：7
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