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Torsional and Transversal Stiffness of Orthotropic Sandwich Panels

1
Institute of Structural Analysis, Poznan University of Technology, Piotrowo Street 5, 60-965 Poznań, Poland
2
Institute of Applied Mechanics, Poznan University of Technology, Jana Pawła II Street 24, 60-965 Poznań, Poland
*
Author to whom correspondence should be addressed.
Materials 2020, 13(21), 5016; https://doi.org/10.3390/ma13215016
Received: 19 October 2020 / Revised: 3 November 2020 / Accepted: 4 November 2020 / Published: 6 November 2020
In the present work, an analytical equation describing the plate torsion test taking into account the transverse shear stiffness in sandwich plates is derived and numerically validated. Transverse shear becomes an important component if the analyzed plate or shell is thick with respect to the in-plane dimensions and/or its core has significantly lower stiffness than the outer faces. The popular example of such a sandwich plate is a corrugated cardboard, widely used in the packaging industry. The flat layers of a corrugated board are usually made of thicker (stronger) material than that used for the corrugated layer, the role of which is rather to keep the outer layers at a certain distance, to ensure high bending stiffness of the plate. However, the soft core of such a plate usually has a low transverse shear stiffness, which is often not considered in the plate analysis. Such simplification may lead to significant calculation errors. The paper presents the generalization of the Reissner’s analytical formula, which describes the torsional stiffness of the plate sample including two transverse shear stiffnesses. The paper also presents the implementation of the numerical model of the plate torsion test including the transverse shear stiffnesses. Both approaches are compared with each other on a wide range of material parameters and different aspect ratios of the specimen. It has been proved that both analytical and numerical formulations lead to an identical result. Finally, the performance of presented formulations is compared with other numerical models using commercial implementation of various Reissner–Mindlin shell elements and other analytical formulas from the literature. The comparison shows good agreement of presented theory and numerical implementation with other existing approaches. View Full-Text
Keywords: transverse shear stiffness; plate torsion test; corrugated cardboard; sandwich plate; finite element method; shell element transverse shear stiffness; plate torsion test; corrugated cardboard; sandwich plate; finite element method; shell element
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MDPI and ACS Style

Garbowski, T.; Gajewski, T.; Grabski, J.K. Torsional and Transversal Stiffness of Orthotropic Sandwich Panels. Materials 2020, 13, 5016. https://doi.org/10.3390/ma13215016

AMA Style

Garbowski T, Gajewski T, Grabski JK. Torsional and Transversal Stiffness of Orthotropic Sandwich Panels. Materials. 2020; 13(21):5016. https://doi.org/10.3390/ma13215016

Chicago/Turabian Style

Garbowski, Tomasz, Tomasz Gajewski, and Jakub K. Grabski. 2020. "Torsional and Transversal Stiffness of Orthotropic Sandwich Panels" Materials 13, no. 21: 5016. https://doi.org/10.3390/ma13215016

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