Hyperbolic shear deformation theory
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Flexural Analysis of Thick Plates by Hyperbolic Shear Deformation Theory
Abstract: Hyperbolic shear deformation theory is used for the flexural analysis of isotropic plates with various loading cases. The theory takes account effect of transverse shear deformation. The transverse shear strains distribution through the thickness of the plate varies according to hyperbolic cosine function. The transverse shear stress can be obtained directly from the constitutive relations satisfying the shear stress free surface conditions on the top and bottom surfaces of the …
Published in Journal of Experimental & Applied Mechanics · Vol. 2, Issue 1, 2011 · pp. 17–37 Read article
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Buckling and vibration of plates by hyperbolic shear deformation theory
Abstract: Hyperbolic shear deformation theory is used to determine the natural frequencies and buckling loads of elastic plates. The theory takes account of transverse shear effects and hyperbolic cosine distribution of the transverse shear strains through the thickness of the plate, hence it does not require shear correction factor. Governing equations are derived from the principle of virtual work. The closed-form solution of a simply supported plate subjected to in-plane loading …
Published in Journal of Aerospace Engineering & Technology · Vol. 1, Issue 1, 2011 · pp. 1–12 Read article