A GEOMETRICALLY NONLINEAR CURVED SHELL ELEMENT WITH CONSTANT STRESS RESULTANTS

被引:13
|
作者
VANKEULEN, F
机构
[1] Laboratory for Engineering Mechanics, Delft University of Technology, P.O. Box 5033
关键词
D O I
10.1016/0045-7825(93)90093-D
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A curved triangular shell element with constant stress resultants and 12 degrees of freedom is presented. The degrees of freedom are the displacement components in the vertices and the rotations about the element sides. The starting point is the combination of a constant strain triangle and a flat constant bending triangle. The membrane deformations of this original flat element are modified, so that curvature changes give an essential contribution in the geometrically nonlinear regime. Initial curvature is brought into account by observing initial deflections of the flat element with modified membrane deformations. Arbitrary rotations are incorporated by means of co-rotation theory, applied to the bending behaviour only. Unconventional equivalent nodal forces for pressure loading are discussed, which are more effective than work equivalent nodal forces in cases where the loading is mainly carried by membrane forces and coarse meshes are used. The performance of the proposed element is compared with state-of-the-art elements, known from the literature.
引用
收藏
页码:315 / 352
页数:38
相关论文
共 50 条
  • [1] Simplified stress resultants plasticity on a geometrically nonlinear constant stress shell element
    Mohammed, AK
    Skallerud, B
    Amdahl, J
    COMPUTERS & STRUCTURES, 2001, 79 (18) : 1723 - 1734
  • [2] A DISPLACEMENT-BASED GEOMETRICALLY NONLINEAR CONSTANT STRESS ELEMENT
    BOUT, A
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (07) : 1161 - 1188
  • [3] P-VERSION PLATE AND CURVED SHELL ELEMENT FOR GEOMETRICALLY NONLINEAR-ANALYSIS
    SOREM, RM
    SURANA, KS
    INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1992, 33 (08) : 1683 - 1701
  • [4] Shell finite element formulation for geometrically nonlinear analysis of curved thin-walled pipes
    Attia, Saher
    Mohareb, Magdi
    Martens, Michael
    Ghodsi, Nader Yoosef
    Li, Yong
    Adeeb, Samer
    THIN-WALLED STRUCTURES, 2022, 173
  • [5] A triangular shell element for geometrically nonlinear analysis
    M. Rezaiee-Pajand
    E. Arabi
    Amir R. Masoodi
    Acta Mechanica, 2018, 229 : 323 - 342
  • [6] A triangular shell element for geometrically nonlinear analysis
    Rezaiee-Pajand, M.
    Arabi, E.
    Masoodi, Amir R.
    ACTA MECHANICA, 2018, 229 (01) : 323 - 342
  • [7] Geometrically nonlinear quadrature element analysis of spatial curved beams
    Liao, Minmao
    Xu, Gang
    Yang, Y. B.
    ENGINEERING STRUCTURES, 2020, 209
  • [8] Geometrically nonlinear behavior of an improved degenerated shell element
    Choi, Chang Koon
    Yoo, Seung Woon
    Computers and Structures, 1991, 40 (03): : 785 - 794
  • [9] SMOOTHING STRESS RESULTANTS IN ADAPTIVE FINITE-ELEMENT SHELL ANALYSIS
    PICA, A
    WOOD, RD
    ADEKUNLE, AO
    BONET, J
    COMPUTERS & STRUCTURES, 1995, 54 (05) : 835 - 849
  • [10] GEOMETRICALLY NONLINEAR BEHAVIOR OF AN IMPROVED DEGENERATED SHELL ELEMENT
    CHOI, CK
    YOO, SW
    COMPUTERS & STRUCTURES, 1991, 40 (03) : 785 - 794