Three-dimensional stability of a rectangular plate under uniaxial tension

被引:3
|
作者
Kokhanenko, Yu. V. [1 ]
机构
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, Kiev, Ukraine
关键词
three-dimensional linearized theory of stability; critical parameters; free strains; finite-difference method; basic scheme;
D O I
10.1007/s10778-006-0151-7
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The paper studies the three-dimensional stability of an isotropic, linear elastic, rectangular plate under a uniform tensile load applied to its sides. The concept of free strains is used to reduce the three-dimensional problem to a two-dimensional one. It is solved using the three-dimensional linearized theory of stability. An approximate solution of the buckling problem is obtained by the finite-difference method. Numerical results are presented.
引用
收藏
页码:825 / 831
页数:7
相关论文
共 50 条
  • [1] Three-dimensional stability of a rectangular plate under uniaxial tension
    Yu. V. Kokhanenko
    [J]. International Applied Mechanics, 2006, 42 : 825 - 831
  • [2] THREE-DIMENSIONAL STABILITY ANALYSIS OF A RECTANGULAR PLATE IN AN AXIAL FLOW
    Eloy, Christophe
    Schouveiler, Lionel
    [J]. FLOW-INDUCED VIBRATION, 2008, : 345 - +
  • [3] Stability of a rectangular plate under biaxial tension
    Sheidakov, D. N.
    [J]. JOURNAL OF APPLIED MECHANICS AND TECHNICAL PHYSICS, 2007, 48 (04) : 547 - 555
  • [4] Stability of a rectangular plate under biaxial tension
    D. N. Sheidakov
    [J]. Journal of Applied Mechanics and Technical Physics, 2007, 48 : 547 - 555
  • [6] Stability loss in an infinite plate with a circular inclusion under uniaxial tension
    Bauer S.M.
    Kashtanova S.V.
    Morozov N.F.
    Semenov B.N.
    [J]. Vestnik St. Petersburg University, Mathematics, 2017, 50 (2) : 161 - 165
  • [7] Three-dimensional heterogeneous fracture simulation of asphalt mixture under uniaxial tension with cohesive crack model
    Yin, Anyi
    Yang, Xinhua
    Zhang, Chuanchuan
    Zeng, Guowei
    Yang, Zhenjun
    [J]. CONSTRUCTION AND BUILDING MATERIALS, 2015, 76 : 103 - 117
  • [8] Stress concentration around a rectangular cuboid hole in a three-dimensional elastic body under tension loading
    Yang, Yi
    Cheng, Yufeng
    Zhu, Weidong
    [J]. ARCHIVE OF APPLIED MECHANICS, 2018, 88 (08) : 1229 - 1241
  • [9] Stress concentration around a rectangular cuboid hole in a three-dimensional elastic body under tension loading
    Yi Yang
    Yufeng Cheng
    Weidong Zhu
    [J]. Archive of Applied Mechanics, 2018, 88 : 1229 - 1241
  • [10] Three-dimensional stability analysis of plate anchors in clay
    Merifield, RS
    Lyamin, A
    Sloan, SW
    Yu, HS
    [J]. NUMERICAL MODELS IN GEOMECHANICS - NUMOG VII, 1999, : 481 - 487