Edge-buckling in stretched thin films under in-plane bending
type: Item
instance of: scholarly article
title: Edge-buckling in stretched thin films under in-plane bending
zbMATH Open document ID: 1125.74019
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2007-06-14T00:00:00Z
review text: Using the singular perturbation theory, the author investigates localized wrinkling instabilities in a stretched thin solid film under in-plane bending described by a linearized Donnell-von Kármán bifurcation equation for thin plates. The main goal is to assess the dependence of the critical wrinkling load on the bending stiffness of the film, which is achieved with the help of WKB analysis in conjunction with a careful examination of the determinantal equation. This approach reveals that several features of the wrinkling process can be described accurately by a simplified second-order eigenvalue problem which takes into account bending effects. Additionally, the author shows the presence of a turning point in this reduced model.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K35
zbMATH DE Number: 5164776
zbMATH Keywords: wrinkling
zbMATH Keywords: WKB analysis
zbMATH Keywords: Donnell-von Kármán bifurcation equation
author: Ciprian D. Coman
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: s00033-006-6036-0
OpenAlex ID: W2028018007
DOI: 10.1007/S00033-006-6036-0
description: scientific article; zbMATH DE number 5164776