Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations
This paper presents a modified analytical formula for estimating the static top-to-bottom compressive strength of corrugated board packaging with different perforations. The analytical framework is based here on Heimerl’s assumption with an extension from a single panel to a full box, enhanced with...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2021-02-01
|
| Series: | Energies |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1996-1073/14/4/1095 |
| _version_ | 1797395980269649920 |
|---|---|
| author | Tomasz Garbowski Tomasz Gajewski Jakub Krzysztof Grabski |
| author_facet | Tomasz Garbowski Tomasz Gajewski Jakub Krzysztof Grabski |
| author_sort | Tomasz Garbowski |
| collection | DOAJ |
| description | This paper presents a modified analytical formula for estimating the static top-to-bottom compressive strength of corrugated board packaging with different perforations. The analytical framework is based here on Heimerl’s assumption with an extension from a single panel to a full box, enhanced with a numerically calculated critical load. In the proposed method, the torsional and shear stiffness of corrugated cardboard, as well as the panel depth-to-width ratio is implemented in the finite element model used for buckling analysis. The new approach is compared with the successful though the simplified McKee formula and is also verified with the experimental results of various packaging designs made of corrugated cardboard. The obtained results indicate that for boxes containing specific perforations, simplified methods give much larger estimation error than the analytical–numerical approach proposed in the article. To the best knowledge of the authors, the influence of the perforations has never been considered before in the analytical or analytical–numerical approach for estimation of the compressive strength of boxes made of corrugated paperboard. The novelty of this paper is to adopt the method presented to include perforation influence on the box compressive strength estimation. |
| first_indexed | 2024-03-09T00:44:38Z |
| format | Article |
| id | doaj.art-5ca3d5f9bce54de9b30d55743a132308 |
| institution | Directory Open Access Journal |
| issn | 1996-1073 |
| language | English |
| last_indexed | 2024-03-09T00:44:38Z |
| publishDate | 2021-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Energies |
| spelling | doaj.art-5ca3d5f9bce54de9b30d55743a1323082023-12-11T17:37:47ZengMDPI AGEnergies1996-10732021-02-01144109510.3390/en14041095Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various PerforationsTomasz Garbowski0Tomasz Gajewski1Jakub Krzysztof Grabski2Department of Biosystems Engineering, Poznan University of Life Sciences, Wojska Polskiego 50, 60-627 Poznań, PolandInstitute of Structural Analysis, Poznan University of Technology, Piotrowo Street 5, 60-965 Poznań, PolandInstitute of Applied Mechanics, Poznan University of Technology, Jana Pawła II Street 24, 60-965 Poznań, PolandThis paper presents a modified analytical formula for estimating the static top-to-bottom compressive strength of corrugated board packaging with different perforations. The analytical framework is based here on Heimerl’s assumption with an extension from a single panel to a full box, enhanced with a numerically calculated critical load. In the proposed method, the torsional and shear stiffness of corrugated cardboard, as well as the panel depth-to-width ratio is implemented in the finite element model used for buckling analysis. The new approach is compared with the successful though the simplified McKee formula and is also verified with the experimental results of various packaging designs made of corrugated cardboard. The obtained results indicate that for boxes containing specific perforations, simplified methods give much larger estimation error than the analytical–numerical approach proposed in the article. To the best knowledge of the authors, the influence of the perforations has never been considered before in the analytical or analytical–numerical approach for estimation of the compressive strength of boxes made of corrugated paperboard. The novelty of this paper is to adopt the method presented to include perforation influence on the box compressive strength estimation.https://www.mdpi.com/1996-1073/14/4/1095corrugated boardMcKee formulabucklingorthotropic panelslaboratory testsbox strength |
| spellingShingle | Tomasz Garbowski Tomasz Gajewski Jakub Krzysztof Grabski Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations Energies corrugated board McKee formula buckling orthotropic panels laboratory tests box strength |
| title | Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations |
| title_full | Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations |
| title_fullStr | Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations |
| title_full_unstemmed | Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations |
| title_short | Estimation of the Compressive Strength of Corrugated Cardboard Boxes with Various Perforations |
| title_sort | estimation of the compressive strength of corrugated cardboard boxes with various perforations |
| topic | corrugated board McKee formula buckling orthotropic panels laboratory tests box strength |
| url | https://www.mdpi.com/1996-1073/14/4/1095 |
| work_keys_str_mv | AT tomaszgarbowski estimationofthecompressivestrengthofcorrugatedcardboardboxeswithvariousperforations AT tomaszgajewski estimationofthecompressivestrengthofcorrugatedcardboardboxeswithvariousperforations AT jakubkrzysztofgrabski estimationofthecompressivestrengthofcorrugatedcardboardboxeswithvariousperforations |