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6 articles for “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
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A New Hyperbolic Shear Deformation Theory for Flexure of Thick Simply Supported Beam
Abstract: A new hyperbolic shear deformation theory for flexure of simply supported thick or deep beam, taking into account transverse shear deformation effects, is developed. The number of variables in the present theory is same as that in the hyperbolic shear deformation theory. The governing differential equations and boundary conditions are obtained by using the principle of virtual work. The trigonometric function is used in displacement field in terms of thickness …
Published in Journal of Structural Engineering and Management · Vol. 1, Issue 3, 2014 · pp. 15–22 Read article
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Computation of Different Stresses Acting on Cantilever Beam Using Hyperbolic Shear Deformation Theory
Abstract: The shear deformation effects are more significant in the thick beams. The classical beam theory (ETB) is based on Bernoulli-Euler hypothesis and the classical plate theory (CPT) is based on Kirchhoff’s hypothesis. The shear deformation effects are more pronounced in the thick beams when subjected to transverse loads than in the thin beams under same loading condition. These effects are neglected in elementary theory of beam (ETB). In order to …
Published in Journal of Structural Engineering and Management · Vol. 4, Issue 1, 2017 · pp. 7–18 Read article
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Static Flexure of Thick Fixed Beams Subjected to Cosine Loading using Refined Shear Deformation Theory
Abstract: The theory is developed to analyze the thick fixed beam considering the effect of transverse shear deformation. The important feature of this theory is that the transverse shear stresses can be obtained directly using constitutive relationship. While developing the theory the number of variables is kept same as that of first order shear deformation theory. As the theory satisfies the zero shear stress condition on the top and bottom of …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 2, 2016 · pp. 1–11 Read article
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Thermal Response of Thick Beam Subjected to Thermo-mechanical Loads by Using HyperbolicShear Deformation Theory
Abstract: In this paper, a hyperbolic shear deformation theory (HPSDT) taking into account transverse shear deformation effect is presented for thermo-mechanical stress analysis of thick isotropic beam subjected to thermo-mechanical. The displacement field contains two variables. The hyperbolic sine and cosine function is used in the displacement field in terms of thickness Co-ordinate to represent the effect of shear deformation. The most important feature of the theory is that, the transverse …
Published in Journal of Structural Engineering and Management · Vol. 3, Issue 3, 2016 · pp. 22–30 Read article