Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization
Knowing the material properties of individual layers of the corrugated plate structures and the geometry of its cross-section, the effective material parameters of the equivalent plate can be calculated. This can be problematic, especially if the transverse shear stiffness is also necessary for the...
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| Format: | Article |
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MDPI AG
2021-04-01
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| Series: | Materials |
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| Online Access: | https://www.mdpi.com/1996-1944/14/8/1976 |
| _version_ | 1797537599943868416 |
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| author | Tomasz Garbowski Tomasz Gajewski |
| author_facet | Tomasz Garbowski Tomasz Gajewski |
| author_sort | Tomasz Garbowski |
| collection | DOAJ |
| description | Knowing the material properties of individual layers of the corrugated plate structures and the geometry of its cross-section, the effective material parameters of the equivalent plate can be calculated. This can be problematic, especially if the transverse shear stiffness is also necessary for the correct description of the equivalent plate performance. In this work, the method proposed by Biancolini is extended to include the possibility of determining, apart from the tensile and flexural stiffnesses, also the transverse shear stiffness of the homogenized corrugated board. The method is based on the strain energy equivalence between the full numerical 3D model of the corrugated board and its Reissner-Mindlin flat plate representation. Shell finite elements were used in this study to accurately reflect the geometry of the corrugated board. In the method presented here, the finite element method is only used to compose the initial global stiffness matrix, which is then condensed and directly used in the homogenization procedure. The stability of the proposed method was tested for different variants of the selected representative volume elements. The obtained results are consistent with other technique already presented in the literature. |
| first_indexed | 2024-03-10T12:18:32Z |
| format | Article |
| id | doaj.art-991938e0e58547fab7b484a1e88d4707 |
| institution | Directory Open Access Journal |
| issn | 1996-1944 |
| language | English |
| last_indexed | 2024-03-10T12:18:32Z |
| publishDate | 2021-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Materials |
| spelling | doaj.art-991938e0e58547fab7b484a1e88d47072023-11-21T15:41:16ZengMDPI AGMaterials1996-19442021-04-01148197610.3390/ma14081976Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical HomogenizationTomasz Garbowski0Tomasz Gajewski1Department of Biosystems Engineering, Poznan University of Life Sciences, Wojska Polskiego 50, 60-627 Poznan, PolandInstitute of Structural Analysis, Poznan University of Technology, Piotrowo 5, 60-965 Poznan, PolandKnowing the material properties of individual layers of the corrugated plate structures and the geometry of its cross-section, the effective material parameters of the equivalent plate can be calculated. This can be problematic, especially if the transverse shear stiffness is also necessary for the correct description of the equivalent plate performance. In this work, the method proposed by Biancolini is extended to include the possibility of determining, apart from the tensile and flexural stiffnesses, also the transverse shear stiffness of the homogenized corrugated board. The method is based on the strain energy equivalence between the full numerical 3D model of the corrugated board and its Reissner-Mindlin flat plate representation. Shell finite elements were used in this study to accurately reflect the geometry of the corrugated board. In the method presented here, the finite element method is only used to compose the initial global stiffness matrix, which is then condensed and directly used in the homogenization procedure. The stability of the proposed method was tested for different variants of the selected representative volume elements. The obtained results are consistent with other technique already presented in the literature.https://www.mdpi.com/1996-1944/14/8/1976corrugated boardnumerical homogenizationstrain energy equivalencefinite element methodplate stiffness propertiesshell structures |
| spellingShingle | Tomasz Garbowski Tomasz Gajewski Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization Materials corrugated board numerical homogenization strain energy equivalence finite element method plate stiffness properties shell structures |
| title | Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization |
| title_full | Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization |
| title_fullStr | Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization |
| title_full_unstemmed | Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization |
| title_short | Determination of Transverse Shear Stiffness of Sandwich Panels with a Corrugated Core by Numerical Homogenization |
| title_sort | determination of transverse shear stiffness of sandwich panels with a corrugated core by numerical homogenization |
| topic | corrugated board numerical homogenization strain energy equivalence finite element method plate stiffness properties shell structures |
| url | https://www.mdpi.com/1996-1944/14/8/1976 |
| work_keys_str_mv | AT tomaszgarbowski determinationoftransverseshearstiffnessofsandwichpanelswithacorrugatedcorebynumericalhomogenization AT tomaszgajewski determinationoftransverseshearstiffnessofsandwichpanelswithacorrugatedcorebynumericalhomogenization |