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

Open Access

Year : 2023 | Volume :12 | Issue : 3 | Page : 10-33
By

    Shrikant Gunjal

  1. S.A. Bhalchandra

  1. Post Graduate Student, Department of Applied Mechanics, Government College of Engineering, Aurangabad, Maharashtra, India
  2. Professor, Department of Applied Mechanics, Government College of Engineering, Aurangabad, Maharashtra, India

Abstract

For the thermal analysis of simply supported square and rectangular plates applied to sinusoidal distributed linear thermal load throughout the plate thickness and in combination with sinusoidal distributed transverse mechanical loading, a trigonometric shear deformation theory is proposed. In this work, a sinusoidal function in terms of thickness coordinates is being used in the displacement field in conjunction with the transverse shear deformation effect. The normal and shear stress can be determined by using the strain-displacement equation of elasticity. The transverse shear stress can be calculated simply by applying constitutive relations to the top and bottom of the plate which fulfill the shear 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 derive the governing equation and boundary conditions of the plate theory. The responses like thermal stresses and displacements for orthotopic plates subjected to linear sinusoidal distributed thermal load in combination with transverse mechanical load are obtained. The result is obtained in form of normalized stresses and displacement by using normalized formed given in the literature. By comparing the results to classical plate theory, first-order order shear deformation theory, and higher-order order shear deformation theory, the proposed theory is validated.

Keywords: Trigonometric shear deformation theory, Isotropic, orthotropic, bending, sinusoidal distributed thermal load.

[This article belongs to Journal of Experimental & Applied Mechanics(joeam)]

How to cite this article: Shrikant Gunjal, S.A. Bhalchandra Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT) joeam 2023; 12:10-33
How to cite this URL: Shrikant Gunjal, S.A. Bhalchandra Thermo-mechanical Analysis of Orthotropic plate under Sinusoidally Distributed Thermal load by using Trigonometric shear Deformation Theory (TSDT) joeam 2023 {cited 2023 Jan 02};12:10-33. Available from: https://journals.stmjournals.com/joeam/article=2023/view=91940

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Regular Issue Open Access Article
Volume 12
Issue 3
Received December 24, 2021
Accepted February 2, 2022
Published January 2, 2023