Trigonometric Shear Deformation Theory for Thermal Flexural Analysis of Isotropic Plate

Gandhe, G. R.; Salve, S.B.; Pankade, P.M.; Taur, P.G.; Tupe, D. H.

doi:10.1016/j.promfg.2018.02.074

Cited by 1 publication

(1 citation statement)

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“…The refined beam theories are required to describe the correct thermal response of plates as well as shear deformation effects. Three variables are used in displacement field, to represent the effect of shear deformation [11]. It proposes a hyperbolic shear deformation for thick isotropic cantilever beam.…”

Section: Introductionmentioning

confidence: 99%

Static Examination of Simply Supported Laminated Composite Beam with Varying Load Using Trigonometric Shear Deformation Theory

Tupe¹

2020

IJST

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Objectives: To study the trigonometric shear deformation theory for the evolution of displacements and stresses of crossply simply supported laminated beam subjected to varying load. Methodology: A trigonometric shear deformation is used. The inplain displacement field uses a sinusoidal function in terms of the thickness coordinate to include the shear deformation effect. The theory satisfies the shear stress free boundary conditions on the top and bottom surfaces of the plate. The present theory obviates the need of a shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. Finding: Stresses and displacements for orthotropic, single-layer, three-layer symmetric square cross-ply laminated beam subjected to varying load. Novelty: The numerical results of the present theory for displacement and stresses are compared with those of classical (ETB), first-order (FSDT), and higher-order shear deformation beam theories.

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Section: Introductionmentioning

confidence: 99%