Macroscopic simulation of membrane wrinkling for various loading cases

被引：46

作者：

Huang, Qun ^{[1
]}

Hu, Heng ^{[1
]}

Yu, Kun ^{[1
]}

Potier-Ferry, Michel ^{[2
]}

Belouettar, Salim ^{[3
]}

Damil, Noureddine ^{[4
]}

机构：

[1] Wuhan Univ, Sch Civil Engn, Wuhan 430072, Peoples R China

[2] Univ Lorraine, Lab Etud Microstruct & Mecan Mat, LEM3, UMR CNRS 7239, F-57045 Metz 01, France

[3] Ctr Rech Publ Henri Tudor, L-1855 Luxembourg, Luxembourg

[4] Univ Hassan II Casablanca, Fac Sci Ben MSik, LIMAT, Lab Ingn & Mat, Casablanca, Morocco

来源：

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES | 2015年 / 64-65卷

基金：

中国国家自然科学基金;

关键词：

Fourier series; Membrane; Instability; Wrinkling; Asymptotic Numerical Method; THIN MEMBRANES; MODELS;

D O I：

10.1016/j.ijsolstr.2015.04.003

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The paper discusses membrane instability phenomena by a Fourier-related double scale approach that was introduced recently. This leads to a reduced-order model that is able to capture the main features of the wrinkles with few degrees of freedom. The paper focuses on the corresponding finite element procedure, its implementation and evaluation and applications to various cases of loading and boundary condition. The finite element model has first been implemented in a home-made code, the nonlinear system being solved by the Asymptotic Numerical Method (ANM), which has advantages of efficiency and reliability for stability analyses. It has also been implemented as a user element in a commercial software to evaluate the effectiveness of the reduction technique. Various loading cases were considered and the numerical tests establish that the reduced model can predict the wrinkling patterns, even when there are few wrinkles. The numerical results highlight the strong influence of a dimensionless parameter for wrinkling initiation. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：246 / 258

页数：13

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