On the torsional stiffness of thick laminated plates

An analytical method is developed for the calculation of the torsional stiffness of thick laminated rectangular plates of finite width. Through-thickness shear deformations are included in order to satisfy vanishing of in-plane shear stresses at the free edges, which constitutes a non-trivial effect...

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Bibliographic Details
Published in:Journal of composite materials 2014-09, Vol.48 (21), p.2639-2655
Main Authors: Honickman, Hart, Johrendt, Jennifer, Frise, Peter
Format: Article
Language:English
Subjects:
Aspect ratio
Attenuation
Laminates
Mathematical analysis
Plates
Shear deformation
Shear stress
Stiffness
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Summary:An analytical method is developed for the calculation of the torsional stiffness of thick laminated rectangular plates of finite width. Through-thickness shear deformations are included in order to satisfy vanishing of in-plane shear stresses at the free edges, which constitutes a non-trivial effect in thick laminated plates. The present method is based upon the calculation of a characteristic value for the relevant laminate, which serves to quantify the relative rate at which in-plane shear stresses are attenuated near free edges. This characteristic value is subsequently utilized in order to calculate an “effective” width-to-thickness aspect ratio, which is then used to calculate the torsional stiffness of the laminated plate. The present analytical method is computationally validated against 22 unique cases that were synthesized from seven different laminate layups, two different width-to-thickness aspect ratios, and two types of torsional loadings.
ISSN:0021-9983
1530-793X
DOI:10.1177/0021998313501919