Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels
Finite element analysis (FEA) has been proven as a useful design tool to model corrugated paperboard boxes, and is capable of accurately predicting load capacity. The in-plane deformation, however, is usually significantly underpredicted. To investigate this discrepancy, a panel compression test jig...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-12-01
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| Series: | Mathematical and Computational Applications |
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| Online Access: | https://www.mdpi.com/2297-8747/27/6/108 |
| _version_ | 1797456472975605760 |
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| author | Johan Cillie Corné Coetzee |
| author_facet | Johan Cillie Corné Coetzee |
| author_sort | Johan Cillie |
| collection | DOAJ |
| description | Finite element analysis (FEA) has been proven as a useful design tool to model corrugated paperboard boxes, and is capable of accurately predicting load capacity. The in-plane deformation, however, is usually significantly underpredicted. To investigate this discrepancy, a panel compression test jig, that implemented simply supported boundary conditions, was built to test individual panels. The panels were then modelled using non-linear FEA with a linear material model. The results show that the in-plane deformation was still underpredicted, but a general improvement was seen. Three discrepancies were identified. The first was that the panels showed an initial region of low stiffness that was not present in the FEA results. This was attributed to imperfections in the panels and jig. Secondly, the experimental results reported a lower stiffness than the FEA. Applying an initial imperfection in the shape of the first buckling mode shape was found to reduce the FEA stiffness. Thirdly, the panels showed a decrease in stiffness near failure, which was not seen in the FEA. A bi-linear material model was investigated and holds the potential to improve the results. Box compression tests were performed on a Regular Slotted Container (RSC) with the same dimensions as the tested panel. The box displaced 13.1 mm compared to 3.5 mm for the panel. There was an initial region of low stiffness, which accounted for 7 mm of displacement compared to 0.5 mm for the panels. Thus, box complexities such as horizontal creases should be included in finite element (FE) models to accurately predict the in-plane deformation, while a bi-linear (or any other non-linear) material model may be useful for panel compression. |
| first_indexed | 2024-03-09T16:08:19Z |
| format | Article |
| id | doaj.art-a2a6c525df5e4631aa42bdff56cf4ad9 |
| institution | Directory Open Access Journal |
| issn | 1300-686X 2297-8747 |
| language | English |
| last_indexed | 2024-03-09T16:08:19Z |
| publishDate | 2022-12-01 |
| publisher | MDPI AG |
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| series | Mathematical and Computational Applications |
| spelling | doaj.art-a2a6c525df5e4631aa42bdff56cf4ad92023-11-24T16:31:00ZengMDPI AGMathematical and Computational Applications1300-686X2297-87472022-12-0127610810.3390/mca27060108Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard PanelsJohan Cillie0Corné Coetzee1Department of Mechanical and Mechatronic Engineering, Stellenbosch University, Stellenbosch 7600, South AfricaDepartment of Mechanical and Mechatronic Engineering, Stellenbosch University, Stellenbosch 7600, South AfricaFinite element analysis (FEA) has been proven as a useful design tool to model corrugated paperboard boxes, and is capable of accurately predicting load capacity. The in-plane deformation, however, is usually significantly underpredicted. To investigate this discrepancy, a panel compression test jig, that implemented simply supported boundary conditions, was built to test individual panels. The panels were then modelled using non-linear FEA with a linear material model. The results show that the in-plane deformation was still underpredicted, but a general improvement was seen. Three discrepancies were identified. The first was that the panels showed an initial region of low stiffness that was not present in the FEA results. This was attributed to imperfections in the panels and jig. Secondly, the experimental results reported a lower stiffness than the FEA. Applying an initial imperfection in the shape of the first buckling mode shape was found to reduce the FEA stiffness. Thirdly, the panels showed a decrease in stiffness near failure, which was not seen in the FEA. A bi-linear material model was investigated and holds the potential to improve the results. Box compression tests were performed on a Regular Slotted Container (RSC) with the same dimensions as the tested panel. The box displaced 13.1 mm compared to 3.5 mm for the panel. There was an initial region of low stiffness, which accounted for 7 mm of displacement compared to 0.5 mm for the panels. Thus, box complexities such as horizontal creases should be included in finite element (FE) models to accurately predict the in-plane deformation, while a bi-linear (or any other non-linear) material model may be useful for panel compression.https://www.mdpi.com/2297-8747/27/6/108corrugated cardboardpanel compressiondigital image correlationfinite element analysis |
| spellingShingle | Johan Cillie Corné Coetzee Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels Mathematical and Computational Applications corrugated cardboard panel compression digital image correlation finite element analysis |
| title | Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels |
| title_full | Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels |
| title_fullStr | Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels |
| title_full_unstemmed | Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels |
| title_short | Experimental and Numerical Investigation of the In-Plane Compression of Corrugated Paperboard Panels |
| title_sort | experimental and numerical investigation of the in plane compression of corrugated paperboard panels |
| topic | corrugated cardboard panel compression digital image correlation finite element analysis |
| url | https://www.mdpi.com/2297-8747/27/6/108 |
| work_keys_str_mv | AT johancillie experimentalandnumericalinvestigationoftheinplanecompressionofcorrugatedpaperboardpanels AT cornecoetzee experimentalandnumericalinvestigationoftheinplanecompressionofcorrugatedpaperboardpanels |