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Journal of Experimental & Applied Mechanics

Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT)

  1. Shrikant Gunjal
  2. S. A. Bhalchandra

Abstract

For the thermal analysis of simply supported square and rectangular plates applied to sinusoidaldistributed linear thermal load throughout the plate thickness and in combination with sinusoidaldistributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. Inthis work, a sinusoidal function in terms of thickness coordinates is being used in the displacement fieldin conjunction with the transverse shear deformation effect. The normal and shear stress can bedetermined by using the strain-displacement equation of elasticity. The transverse shear stress can becalculated simply by applying constitutive relations to the top and bottom of the plate which fulfill theshear stress-free boundary conditions, also termed as traction-free boundary conditions. As a result,the shear correction factor is not required by the theory. The virtual work principle is used to derivethe governing equation and boundary conditions of the plate theory. The responses like thermal stressesand displacements for orthotopic plates subjected to linear sinusoidal distributed thermal load incombination with transverse mechanical load are obtained. The result is obtained in form of normalizedstresses and displacement by using normalized formed given in the literature. By comparing the resultsto classical plate theory, first-order order shear deformation theory, and higher-order order sheardeformation theory, the proposed theory is validated.

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