Singularities and wrinkling: The case of a concentrated force

Ciprian D. Coman, Andrew P. Bassom

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The edge wrinkling of a uniformly stretched circular elastic plate subjected to a central concentrated load is considered within the framework of the Föppl–von Kármán nonlinear plate theory. Singular perturbation methods are employed to obtain a three-term asymptotic formula for the critical load in terms of a non-dimensional quantity that depends on the initial pre-stress. Comparisons between the analytical predictions and direct numerical simulations of the full bifurcation eigenproblem provide further insight into the accuracy and limitations of the derived results.

LanguageEnglish
Pages229-244
Number of pages16
JournalInternational Journal of Engineering Science
Volume106
Early online date9 Jul 2016
DOIs
Publication statusPublished - Sep 2016
Externally publishedYes

Fingerprint

Bifurcation (mathematics)
Direct numerical simulation

Cite this

@article{0cccd2cdb64e47c183e89e01198645ee,
title = "Singularities and wrinkling: The case of a concentrated force",
abstract = "The edge wrinkling of a uniformly stretched circular elastic plate subjected to a central concentrated load is considered within the framework of the F{\"o}ppl–von K{\'a}rm{\'a}n nonlinear plate theory. Singular perturbation methods are employed to obtain a three-term asymptotic formula for the critical load in terms of a non-dimensional quantity that depends on the initial pre-stress. Comparisons between the analytical predictions and direct numerical simulations of the full bifurcation eigenproblem provide further insight into the accuracy and limitations of the derived results.",
keywords = "Asymptotic methods, F{\"o}ppl–von K{\'a}rm{\'a}n plate equations, Singularities, Thin films",
author = "Coman, {Ciprian D.} and Bassom, {Andrew P.}",
year = "2016",
month = "9",
doi = "10.1016/j.ijengsci.2016.06.005",
language = "English",
volume = "106",
pages = "229--244",
journal = "International Journal of Engineering Science",
issn = "0020-7225",
publisher = "Elsevier Limited",

}

Singularities and wrinkling : The case of a concentrated force. / Coman, Ciprian D.; Bassom, Andrew P.

In: International Journal of Engineering Science, Vol. 106, 09.2016, p. 229-244.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Singularities and wrinkling

T2 - International Journal of Engineering Science

AU - Coman, Ciprian D.

AU - Bassom, Andrew P.

PY - 2016/9

Y1 - 2016/9

N2 - The edge wrinkling of a uniformly stretched circular elastic plate subjected to a central concentrated load is considered within the framework of the Föppl–von Kármán nonlinear plate theory. Singular perturbation methods are employed to obtain a three-term asymptotic formula for the critical load in terms of a non-dimensional quantity that depends on the initial pre-stress. Comparisons between the analytical predictions and direct numerical simulations of the full bifurcation eigenproblem provide further insight into the accuracy and limitations of the derived results.

AB - The edge wrinkling of a uniformly stretched circular elastic plate subjected to a central concentrated load is considered within the framework of the Föppl–von Kármán nonlinear plate theory. Singular perturbation methods are employed to obtain a three-term asymptotic formula for the critical load in terms of a non-dimensional quantity that depends on the initial pre-stress. Comparisons between the analytical predictions and direct numerical simulations of the full bifurcation eigenproblem provide further insight into the accuracy and limitations of the derived results.

KW - Asymptotic methods

KW - Föppl–von Kármán plate equations

KW - Singularities

KW - Thin films

UR - http://www.scopus.com/inward/record.url?scp=84977666093&partnerID=8YFLogxK

U2 - 10.1016/j.ijengsci.2016.06.005

DO - 10.1016/j.ijengsci.2016.06.005

M3 - Article

VL - 106

SP - 229

EP - 244

JO - International Journal of Engineering Science

JF - International Journal of Engineering Science

SN - 0020-7225

ER -