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Numerical simulation of buckling and post-buckling behavior of a central notched thin aluminum foil with nonlinearity in consideration
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
Lund University, SWE.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.ORCID iD: 0000-0002-1162-7023
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
2020 (English)In: Metals, ISSN 2075-4701, Vol. 10, no 5, article id 582Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
MDPI, 2020. Vol. 10, no 5, article id 582
Keywords [en]
buckling behavior; thin metal sheet; central crack; wrinkling; perturbation; buckling mode shape
National Category
Applied Mechanics
Identifiers
URN: urn:nbn:se:bth-19443DOI: 10.3390/met10050582OAI: oai:DiVA.org:bth-19443DiVA, id: diva2:1429543
Projects
MD3S - Model Driven Development and Decision Support
Funder
Knowledge Foundation
Note

Open access

Available from: 2020-05-11 Created: 2020-05-11 Last updated: 2020-05-19Bibliographically approved

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Publisher's full texthttps://www.mdpi.com/2075-4701/10/5/582/htm

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Islam, Md Shafiqul
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