Axisymmetric and asymmetric postbuckling response and energy release rate of delaminated circular film
type: Item
instance of: scholarly article
title: Axisymmetric and asymmetric postbuckling response and energy release rate of delaminated circular film
zbMATH Open document ID: 0956.74014
DOI: 10.1016/S0020-7403(98)00003-4
author: Yanyan Li
published in: International Journal of Mechanical Sciences
publication date: 2001-03-12T00:00:00Z
review text: The author treats a delaminated circular film as a thin circular plate clamped to the substrate at the boundary of the delaminated zone. The axisymmetric postbuckling response for large film deflections under the action of in-plane compression is investigated by using a power series method to solve the von Kármán nonlinear equations for axisymmetric deformations of circular plates. Then the problem of asymmetric bifurcation-buckling of the film from the axisymmetric large-deflection equilibrium state is studied by applying simultaneously Fourier series and power series to the solution of von Kármán nonlinear equations for asymmetric deformations of circular plates. Finally, the author investigates the energy release rates related to the two stages of buckling deformation, and demonstrates that the energy release rate corresponding to the asymmetric postbuckling deformation is much larger than that corresponding to the axisymmetric postbuckling stage.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74K35
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E30
zbMATH DE Number: 1389044
zbMATH Keywords: von Kármán equations
zbMATH Keywords: delaminated circular film
zbMATH Keywords: thin circular plate
zbMATH Keywords: axisymmetric postbuckling response
zbMATH Keywords: power series method
zbMATH Keywords: axisymmetric large-deflection equilibrium state
zbMATH Keywords: Fourier series
zbMATH Keywords: energy release rate
zbMATH Keywords: asymmetric postbuckling deformation
reviewed by: Girish Kumar Ramaiah
MaRDI profile type: Publication
Wikidata QID: Q126571277
full work available at URL: s0020-7403(98)00003-4
OpenAlex ID: W2061094613
description: scientific article; zbMATH DE number 1389044