Abstract

Thermal stresses and displacements for orthotropic, two-layer antisymmetric, and three-layer symmetric square cross-ply laminated plates subjected to nonlinear thermal load through the thickness of laminated plates are presented by using trigonometric shear deformation theory. The in-plane displacement field uses sinusoidal function in terms of thickness co-ordinate 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 shear correction factor. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The validity of present theory is verified by comparing the results with those of classical plate theory and first order shear deformation theory and higher order shear deformation theory.

Highlights

  • Composite materials are widely used, in aerospace engineering

  • The objective of this paper is to present an equivalent single layer shear deformation theory for evaluation of displacements and stresses of cross-ply laminated plates subjected to non-linear thermal load across the thickness of plate

  • The results obtained for displacements and stresses in square orthotropic, two-layer and threelayer laminated plates under non-linear thermal load are compared and discussed with the corresponding results of classical plate theory (CPT), first order shear deformation theory (FSDT) and higher order shear deformation theory (HSDT) of Reddy [5]

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Summary

Introduction

Composite materials are widely used, in aerospace engineering By virtue of their high strength to weight ratios and because of their mechanical properties in various directions, they can be tailored as per requirements. Further they combine a number of unique properties, including corrosion resistance, high damping, temperature resistance and low thermal coefficient of expansion. These unique properties have resulted in the expanded use of the advance composite materials in structures subjected to severe thermal environment.

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