A reduced-order modeling based on multi-scale method for wrinkles with variable orientations

被引:8
|
作者
Khalil, Siham [1 ]
Belaasilia, Youssef [1 ]
Hamdaoui, Abdellah [1 ]
Braikat, Bouazza [1 ]
Damil, Noureddine [1 ]
Potier-Ferry, Michel [2 ]
机构
[1] Hassan II Univ Casablanca, Fac Sci Ben MSik, Lab Ingn & Mat LIMAT, BP 7955 Sidi Othman, Casablanca, Morocco
[2] Univ Lorraine, LEM3, Arts & Metiers ParisTech, CNRS, F-57000 Metz, France
关键词
Reduced models; Wrinkles; Variable orientation; Membrane; Rippl von Karman model; GENERALIZED CONTINUUM APPROACH; THIN MEMBRANES; PARAMETERIZATION; SIMULATION; BEHAVIOR; FILMS;
D O I
10.1016/j.ijsolstr.2020.10.002
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
We discuss a reduced-order modeling technique based on Fourier series for membrane wrinkling when the orientation of the wrinkles is not uniform. Indeed, the orientation of the wrinkles depends on geometry and loading, for instance in the case of perforated membrane or with non uniform residual stresses. This Fourier-based reduction technique is an extension of the famous Ginzburg-Landau equation and it has been applied to the wrinkling of beams, plates, sandwich structures and film-substrate systems. The obtained reduced macroscopic models can be discretized by finite elements. In this paper, a finite element of type Discrete Kirchhoff Triangle (DKT18) is used in the numerical applications, the starting model being the Foppl von Karman (FvK) or Extended Foppl von Karman (EFvK) shell models. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页码:89 / 103
页数:15
相关论文
共 50 条
  • [21] REDUCED-ORDER MODELING OF HIDDEN DYNAMICS
    Heas, Patrick
    Herzet, Cedric
    2016 IEEE INTERNATIONAL CONFERENCE ON ACOUSTICS, SPEECH AND SIGNAL PROCESSING PROCEEDINGS, 2016, : 1268 - 1272
  • [22] Predictive reduced order modeling of chaotic multi-scale problems using adaptively sampled projections
    Huang, Cheng
    Duraisamy, Karthik
    JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 491
  • [23] Reduced-order modeling: a personal journey
    Dowell, Earl
    NONLINEAR DYNAMICS, 2023, 111 (11) : 9699 - 9720
  • [24] On the Reduced-order Modeling of Energy Harvesters
    Seuaciuc-Osorio, Thiago
    Daqaq, Mohammed F.
    JOURNAL OF INTELLIGENT MATERIAL SYSTEMS AND STRUCTURES, 2009, 20 (16) : 2003 - 2016
  • [25] REDUCED-ORDER MODELING OF FLEXIBLE STRUCTURES
    RAMAKRISHNAN, JV
    RAO, SV
    KOVAL, LR
    JOURNAL OF GUIDANCE CONTROL AND DYNAMICS, 1988, 11 (05) : 459 - 464
  • [26] A fast algorithm for reduced-order modeling
    Wang, QG
    Zhang, Y
    ISA TRANSACTIONS, 1999, 38 (03) : 225 - 230
  • [27] A NEW APPROACH TO REDUCED-ORDER MODELING
    WARWICK, K
    IEE PROCEEDINGS-D CONTROL THEORY AND APPLICATIONS, 1984, 131 (02): : 74 - 78
  • [28] Multi-level reduced-order thermal modeling of electrochemical capacitors
    Guillemet, P
    Scudeller, Y
    Brousse, T
    JOURNAL OF POWER SOURCES, 2006, 157 (01) : 630 - 640
  • [29] REDUCED-ORDER MODELING OF ENERGY HARVESTERS
    Seuaciuc-Osorio, Thiago
    Daqaq, Mohammed F.
    PROCEEDINGS OF THE ASME INTERNATIONAL DESIGN ENGINEERING TECHNICAL CONFERENCES AND COMPUTERS AND INFORMATION IN ENGINEERING CONFERENCE, VOL 1, PTS A AND B, 2010, : 477 - 488
  • [30] Reduced-order modeling of a heaving airfoil
    Lewin, GC
    Haj-Hariri, H
    AIAA JOURNAL, 2005, 43 (02) : 270 - 283