Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending

被引：10

作者：

Coman, Ciprian D. ^{[1
]}

Bassom, Andrew P. ^{[2
]}

机构：

[1] Univ Glasgow, Univ Gardens, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Univ Western Australia, Sch Math & Stat, Crawley, WA 6009, Australia

来源：

JOURNAL OF ENGINEERING MATHEMATICS | 2009年 / 63卷 / 2-4期

关键词：

Boundary layers; Eigenvalue problems; Thin elastic plates; Wrinkling; WRINKLE;

D O I：

10.1007/s10665-007-9196-9

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Singular perturbation techniques are used to investigate the linear eigenvalue problem that describes the partial wrinkling of a pre-stressed rectangular thin elastic plate under in-plane bending. The dependence of the critical load and the wavelength of the localised oscillatory pattern on the non-dimensional bending rigidity of the plate is captured with a higher-order boundary-layer analysis. Comparisons with direct numerical simulations of the original eigenproblem confirm the accuracy and versatility of the asymptotic technique explored in this work.

引用

页码：327 / 338

页数：12

共 33 条

[1] Higher-order asymptotics for edge-buckling of pre-stressed thin plates under in-plane bending
Ciprian D. Coman
Andrew P. Bassom
Journal of Engineering Mathematics, 2009, 63 : 327 - 338
[2] Edge-buckling in stretched thin films under in-plane bending
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