A numerical method based on Taylor series for bifurcation analyses within Foppl-von Karman plate theory

被引：11
|
作者：
Tian, H. [1 ]
Potier-Ferry, M. [2 ]
Abed-Meraim, F. [1 ]
机构：
[1] Arts & Metiers ParisTech, CNRS, UMR 7239, LEM3, 4 Rue Augustin Fresnel, F-57078 Metz 3, France
[2] Univ Lorraine, UMR CNRS 7239, LEM3, 7 Rue Felix Savart,BP 15082, F-57073 Metz 3, France
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2018年 / 93卷
关键词：
Taylor meshless; Trefftz method; Asymptotic numerical method; Bifurcation; Buckling; MESHLESS METHOD; CONTINUATION; CONVERGENCE; COLLOCATION; ALGORITHM; POINTS;
D O I：
10.1016/j.mechrescom.2017.12.006
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A new numerical technique for post-buckling analysis is presented by combining the asymptotic numerical method (ANM) and the Taylor meshless method (TMM). These two methods are based on Taylor series, with respect to a scalar load parameter for ANM, and with respect to the space variables for TMM. The advantage of ANM is an adaptive step length, which is very efficient near bifurcation points. The specificity of TMM is a quasi-exact solution of the partial differential equations inside the domain, which leads to a strong reduction of the number of degrees of freedom. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：154 / 158
页数：5
相关论文
共 6 条
  • [1] Method of fundamental solutions and a high order continuation for bifurcation analysis within Foppl-von Karman plate theory
    Askour, Omar
    Mesmoudi, Said
    Tri, Abdeljalil
    Braikat, Bouazza
    Zahrouni, Hamid
    Potier-Ferry, Michel
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2020, 120 : 67 - 72
  • [2] NUMERICAL SOLUTION OF A FOPPL-VON KARMAN MODEL
    Bartels, Soeren
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 55 (03) : 1505 - 1524
  • [3] Hermitian numerical manifold method for large deflection of irregular Foppl-von Karman plates
    Guo, Hongwei
    Cao, Xitailang
    Liang, Zenglong
    Lin, Shan
    Zheng, Hong
    Cui, Hao
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2023, 153 : 25 - 38
  • [4] Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Foppl-von Karman limit
    Dervaux, Julien
    Ciarletta, Pasquale
    Ben Amar, Martine
    JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (03) : 458 - 471
  • [5] Convergence analysis and detection of singularities within a boundary meshless method based on Taylor series
    Tampango, Yendoubouam
    Potier-Ferry, Michel
    Koutsawa, Yao
    Belouettar, Salim
    ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2012, 36 (10) : 1465 - 1472
  • [6] A New Taylor Series based Numerical Method: Simple, Reliable, and Promising
    He, Ji-Huan
    Verma, Lajja
    Pandit, Biswajit
    Verma, Amit K.
    Agarwal, Ravi P.
    JOURNAL OF APPLIED AND COMPUTATIONAL MECHANICS, 2023, 9 (04): : 1122 - 1134
1