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.
引用
收藏
页码：474 / 481
页数：7
相关论文
共 50 条
  • [31] A NONLINEAR EQUATION FRAMEWORK FOR SOLVING NETWORK EQUILIBRIUM PROBLEMS
    FISK, C
    ENVIRONMENT AND PLANNING A, 1984, 16 (01) : 67 - 80
  • [32] Nonlinear dynamic analysis and hypernormal form of truss core sandwich plates
    Li, Jing
    Guo, Ziyu
    Quan, Yinzhu
    Li, Jian
    JOURNAL OF APPLIED BIOMATERIALS & FUNCTIONAL MATERIALS, 2018, 16 : 37 - 45
  • [33] GEOMETRICALLY NONLINEAR THERMOMECHANICAL RESPONSE OF CIRCULAR SANDWICH PLATES WITH A COMPLIANT CORE
    Frostig, Yeoshua
    Thomsen, Ole
    JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, 2011, 6 (06) : 925 - 948
  • [34] A geometrically nonlinear stability analysis of sandwich annular plates with cellular core
    Ahmed, Ridha A.
    Raheef, Kareem Mohsen
    Faleh, Nadhim M.
    Fenjan, Raad M.
    STEEL AND COMPOSITE STRUCTURES, 2022, 45 (05): : 767 - 774
  • [35] Physically nonlinear spatial problems about elastic equilibrium of deformable bodies
    Nemish, Yu.N.
    Prikladnaya Mekhanika, 2000, 36 (09): : 35 - 66
  • [36] Actuation and sensing of soft core sandwich plates with a built-in adaptive layer
    Abramovich, H
    Meyer-Piening, HR
    SANDWICH CONSTRUCTION 4, VOLS I AND II, 1998, : 479 - 490
  • [37] Experimental studies on soft core sandwich plates with a built-in adaptive layer
    Abramovich, H
    Meyer-Piening, HR
    IUTAM SYMPOSIUM ON SMART STRUCTURES AND STRUCTRONIC SYSTEMS, 2001, 89 : 223 - 230
  • [38] Vibration analysis of laminated soft core sandwich plates with piezoelectric sensors and actuators
    Araujo, A. L.
    Carvalho, V. S.
    Soares, C. M. Mota
    Belinha, J.
    Ferreira, A. J. M.
    COMPOSITE STRUCTURES, 2016, 151 : 91 - 98
  • [39] Influence of creep on the geometrically nonlinear behavior of soft core sandwich panels
    Hamed, Ehab
    Frostig, Yeoshua
    INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2016, 105 : 398 - 407
  • [40] Refined stability theory for sandwich shells with transversally stiff core. 2. Linearized equations of neutral equilibrium
    V. N. Paimushin
    A. I. Mushtari
    Mechanics of Composite Materials, 1997, 33 : 557 - 564
12345