Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration
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...
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MDPI AG
2020-04-01
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| Series: | Metals |
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| Online Access: | https://www.mdpi.com/2075-4701/10/5/582 |
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| author | Mahdieh Shahmardani Per Ståhle Md Shafiqul Islam Sharon Kao-Walter |
| author_facet | Mahdieh Shahmardani Per Ståhle Md Shafiqul Islam Sharon Kao-Walter |
| author_sort | Mahdieh Shahmardani |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T20:09:50Z |
| format | Article |
| id | doaj.art-c93011b8dcc9400cbae2830581ce6de2 |
| institution | Directory Open Access Journal |
| issn | 2075-4701 |
| language | English |
| last_indexed | 2024-03-10T20:09:50Z |
| publishDate | 2020-04-01 |
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| series | Metals |
| spelling | doaj.art-c93011b8dcc9400cbae2830581ce6de22023-11-19T23:01:21ZengMDPI AGMetals2075-47012020-04-0110558210.3390/met10050582Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in ConsiderationMahdieh Shahmardani0Per Ståhle1Md Shafiqul Islam2Sharon Kao-Walter3Department of Mechanical Engineering, Faculty of Engineering, Blekinge Institute of Technology, 371 79 Karlskrona, SwedenDivision of Solid Mechanics, Lund University, SE-22100 Lund, SwedenDepartment of Mechanical Engineering, Faculty of Engineering, Blekinge Institute of Technology, 371 79 Karlskrona, SwedenDepartment of Mechanical Engineering, Faculty of Engineering, Blekinge Institute of Technology, 371 79 Karlskrona, SwedenIn 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.https://www.mdpi.com/2075-4701/10/5/582buckling behaviorthin metal sheetcentral crackwrinklingperturbationbuckling mode shape |
| spellingShingle | Mahdieh Shahmardani Per Ståhle Md Shafiqul Islam Sharon Kao-Walter Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration Metals buckling behavior thin metal sheet central crack wrinkling perturbation buckling mode shape |
| title | Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration |
| title_full | Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration |
| title_fullStr | Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration |
| title_full_unstemmed | Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration |
| title_short | Numerical Simulation of Buckling and Post-Buckling Behavior of a Central Notched Thin Aluminum Foil with Nonlinearity in Consideration |
| title_sort | numerical simulation of buckling and post buckling behavior of a central notched thin aluminum foil with nonlinearity in consideration |
| topic | buckling behavior thin metal sheet central crack wrinkling perturbation buckling mode shape |
| url | https://www.mdpi.com/2075-4701/10/5/582 |
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