PATTERN FORMATION FINITE ELEMENT MODELING FOR THIN FILMS ON SOFT SUBSTRATES

被引：0

作者：

Xu, Fan ^{[1
,2
]}

Belouettar, Salim ^{[1
]}

Potier-Ferry, Michel ^{[2
]}

机构：

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

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

来源：

11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV | 2014年

关键词：

Wrinkling; Post-buckling; Bifurcation; Path-following Perturbation Technique; Herringbone Pattern; Finite Element Method; ASYMPTOTIC-NUMERICAL-METHOD; COMPLIANT SUBSTRATE; PADE APPROXIMANTS; BRANCHES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Spatial pattern formation of stiff thin films on compliant substrates is investigated based on a nonlinear 3D finite element model. The resulting nonlinear equations are then solved by the Asymptotic Numerical Method (ANM) that gives interactive access to semi-analytical equilibrium branches, which offers considerable advantages in terms of computation time and reliability compared with classical iterative algorithms. Bifurcation points on nonlinear response curves are detected through computing bifurcation indicators well adapted to the ANM. The occurrence and post-buckling evolution of sinusoidal and herringbone patterns will be highlighted.

引用

页码：2310 / 2321

页数：12

共 18 条

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