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Numerical simulation of buckling and post-buckling behavior of a central notched thin aluminum foil with nonlinearity in consideration

Shahmardani, Mahdieh ; Ståhle, Per LU ; Islam, Md Shafiqul and Kao-Walter, Sharon (2020) In Metals 10(5).
Abstract

In thin notched sheets under tensile loading, wrinkling appears on the sheet surface, specifically around the cracked area. This is due to local buckling and compression stresses near the crack surfaces. This study aims to numerically study the buckling behavior of a thin sheet with a central crack under tension. A numerical model of a notched sheet under tensile loading is developed using the finite element method, which considers both material and geometrical nonlinearity. To overcome the convergence problem caused by the small thickness-to-length/width ratio and to stimulate the buckling, an imperfection is defined as a small perturbation in the numerical model. Both elastic and elasto-plastic behavior are applied, and the influence... (More)

In thin notched sheets under tensile loading, wrinkling appears on the sheet surface, specifically around the cracked area. This is due to local buckling and compression stresses near the crack surfaces. This study aims to numerically study the buckling behavior of a thin sheet with a central crack under tension. A numerical model of a notched sheet under tensile loading is developed using the finite element method, which considers both material and geometrical nonlinearity. To overcome the convergence problem caused by the small thickness-to-length/width ratio and to stimulate the buckling, an imperfection is defined as a small perturbation in the numerical model. Both elastic and elasto-plastic behavior are applied, and the influence of them is studied on the critical buckling stress and the post-buckling behavior of the notched sheet. Numerical results for both elastic and elasto-plastic behavior reflect that very small perturbations need more energy for the activation of buckling mode, and a higher buckling mode is predominant. The influences of different parameters, including Poisson’s ratio, yield limit, crack length-to-sheet-width ratio, and the sheet aspect ratio are also evaluated with a focus on the critical buckling stress and the buckling mode shape. With increase in Poisson’s ratio. First, the critical buckling stress reduces and then remains constant. A higher yield limit results in increases in the critical buckling stress, and no change in the buckling mode shape while adopting various crack length-to-sheet-width ratios, and the sheet aspect ratio changes the buckling mode shape.

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author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Buckling behavior, Buckling mode shape, Central crack, Perturbation, Thin metal sheet, Wrinkling
in
Metals
volume
10
issue
5
article number
582
publisher
MDPI AG
external identifiers
  • scopus:85084219551
ISSN
2075-4701
DOI
10.3390/met10050582
language
English
LU publication?
yes
id
f76543d9-d154-453f-9e48-e69408afe302
date added to LUP
2020-05-19 14:31:44
date last changed
2020-05-20 05:02:58
@article{f76543d9-d154-453f-9e48-e69408afe302,
  abstract     = {<p>In thin notched sheets under tensile loading, wrinkling appears on the sheet surface, specifically around the cracked area. This is due to local buckling and compression stresses near the crack surfaces. This study aims to numerically study the buckling behavior of a thin sheet with a central crack under tension. A numerical model of a notched sheet under tensile loading is developed using the finite element method, which considers both material and geometrical nonlinearity. To overcome the convergence problem caused by the small thickness-to-length/width ratio and to stimulate the buckling, an imperfection is defined as a small perturbation in the numerical model. Both elastic and elasto-plastic behavior are applied, and the influence of them is studied on the critical buckling stress and the post-buckling behavior of the notched sheet. Numerical results for both elastic and elasto-plastic behavior reflect that very small perturbations need more energy for the activation of buckling mode, and a higher buckling mode is predominant. The influences of different parameters, including Poisson’s ratio, yield limit, crack length-to-sheet-width ratio, and the sheet aspect ratio are also evaluated with a focus on the critical buckling stress and the buckling mode shape. With increase in Poisson’s ratio. First, the critical buckling stress reduces and then remains constant. A higher yield limit results in increases in the critical buckling stress, and no change in the buckling mode shape while adopting various crack length-to-sheet-width ratios, and the sheet aspect ratio changes the buckling mode shape.</p>},
  author       = {Shahmardani, Mahdieh and Ståhle, Per and Islam, Md Shafiqul and Kao-Walter, Sharon},
  issn         = {2075-4701},
  language     = {eng},
  month        = {05},
  number       = {5},
  publisher    = {MDPI AG},
  series       = {Metals},
  title        = {Numerical simulation of buckling and post-buckling behavior of a central notched thin aluminum foil with nonlinearity in consideration},
  url          = {http://dx.doi.org/10.3390/met10050582},
  doi          = {10.3390/met10050582},
  volume       = {10},
  year         = {2020},
}