ANM analysis of a wrinkled elastic thin membrane

被引:10
|
作者
Khalil, Siham [1 ]
Belaasilia, Youssef [1 ]
Hamdaoui, Abdellah [1 ]
Braikat, Bouazza [1 ]
Jamal, Mohammad [1 ]
Damil, Noureddine [1 ]
Azari, Zitouni [2 ]
机构
[1] Hassan II Univ Casablanca, Lab Ingn & Mat LIMAT, Fac Sci Ben MSik, BP 7955, Casablanca, Morocco
[2] Univ Lorraine, LEM3, CNRS, ENIM,UMR 7239, 1 Route Ars Laquenexy, F-57078 Metz, France
来源
COMPTES RENDUS MECANIQUE | 2019年 / 347卷 / 10期
关键词
Wrinkles disappearance; Asymptotic Numerical Method; Membrane effect; Foppl-von Karman model; ASYMPTOTIC-NUMERICAL-METHOD; BEHAVIOR; COMPUTE; FILMS;
D O I
10.1016/j.crme.2019.10.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In this work, we have investigated numerically the disappearance of wrinkles from a tended membrane by the Asymptotic Numerical Method (ANM) using the finite-element DKT18. The ANM is a path-following technique that has been used to solve bifurcation problems. We show numerically the influence of the terms corresponding to the membrane displacement gradient in the Foppl-von Karman (FvK) theory on the bifurcation curves in the case of a stretched elastic membrane. We will also study numerically, by using the ANM algorithm, the influence of the thickness and of the aspect ratio on the restabilization of a rectangular elastic membrane during stretching. The results obtained by our model are compared with those obtained using the industrial code ABAQUS. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
引用
收藏
页码:701 / 709
页数:9
相关论文
共 50 条
  • [1] Sound synthesis approach based on the elastic stress analysis of a wrinkled thin film coating
    Kostyrko, S. A.
    Shershenkov, B. S.
    VESTNIK SANKT-PETERBURGSKOGO UNIVERSITETA SERIYA 10 PRIKLADNAYA MATEMATIKA INFORMATIKA PROTSESSY UPRAVLENIYA, 2023, 19 (01): : 72 - 89
  • [2] PREDICTION OF WRINKLED MEMBRANE STRUCTURE BY THIN-SHELL ELEMENT
    Zhang, Jian
    Yang, Qing-Shan
    PROCEEDINGS OF THE TENTH INTERNATIONAL SYMPOSIUM ON STRUCTURAL ENGINEERING FOR YOUNG EXPERTS, VOLS I AND II, 2008, : 224 - 228
  • [3] Nonlinear dynamic analysis of wrinkled membrane structure
    Liu, Xiang
    Cai, G. P.
    ENGINEERING COMPUTATIONS, 2023, 40 (01) : 41 - 61
  • [4] Numerical analysis of wrinkled, anisotropic, nonlinearly elastic membranes
    Atai, A.
    Steigmann, D. J.
    MECHANICS RESEARCH COMMUNICATIONS, 2014, 57 : 1 - 5
  • [5] ANALYSIS OF WRINKLED MEMBRANES WITH ANISOTROPIC AND NONLINEAR ELASTIC PROPERTIES
    MANSFIELD, EH
    PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1977, 353 (1675): : 475 - 498
  • [6] The Transition Between Planar and Wrinkled Regions in a Uniaxially Stretched Thin Elastic Film
    Peter Bella
    Archive for Rational Mechanics and Analysis, 2015, 216 : 623 - 672
  • [7] The Transition Between Planar and Wrinkled Regions in a Uniaxially Stretched Thin Elastic Film
    Bella, Peter
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2015, 216 (02) : 623 - 672
  • [8] Strain analysis of a wrinkled SiGe bilayer thin film
    Chang, Guo-En
    Chang, Chia-Ou
    Cheng, H. H.
    JOURNAL OF APPLIED PHYSICS, 2012, 111 (03)
  • [9] Static and dynamic analysis of partially wrinkled membrane structures
    Adler, AL
    Mikulas, MM
    Hedgepeth, JM
    COLLECTION OF THE 41ST AIAA/ASME/ASCE/AHS/ASC STRUCTURES, STRUCTURAL DYNAMICS, AND MATERIALS CONFERENCE AND EXHIBIT, VOL 4, 2000, : 158 - 171
  • [10] Global/local analysis strategy for partly wrinkled membrane
    Woo, Kyeongsik
    Jenkins, Christopher H.
    JOURNAL OF SPACECRAFT AND ROCKETS, 2006, 43 (05) : 1101 - 1106