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Stress analysis of thick laminated plates using trigonometric shear deformation theory

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TLDR
In this paper, a trigonometric shear deformation theory (TSDT) taking into account transverse deformation effect as well as transverse normal strain effect is presented.
Abstract
A trigonometric shear deformation theory (TSDT) taking into account transverse shear deformation effect as well as transverse normal strain effect is presented. The inplane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The cosine function in thickness coordinates is used in transverse displacement to include the effect of transverse normal strain. Governing equations and boundary conditions of the theory are obtained using the principle of virtual work. The results of displacements and stresses for static flexure of simply supported symmetric and anti-symmetric cross-ply laminated square plates subjected to parabolic load and line load are obtained. The results obtained by present theory are compared with those of classical, first-order and higher-order plate theories.

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Citations
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Journal ArticleDOI

On the free vibration analysis of laminated composite and sandwich plates: A review of recent literature with some numerical results

TL;DR: In this paper, the free vibration analysis of multilayered laminated composite and sandwich plates using various methods available for the analysis of plates is presented and compared with other higher order shear deformation theories.
Journal ArticleDOI

Equivalent single layer theories for composite and sandwich structures: A review

TL;DR: In this article, the displacement field is expressed in terms of polynomials functions of the transverse variables while in the second category, non-polynomial functions are used.
Journal ArticleDOI

A Unified Shear Deformation Theory for the Bending of Isotropic, Functionally Graded, Laminated and Sandwich Beams and Plates

TL;DR: In this paper, a displacement-based unified shear deformation theory is developed for the analysis of shear deformable advanced composite beams and plates, which is based on the inclusio...
Journal ArticleDOI

Static and free vibration analysis of laminated composite and sandwich spherical shells using a generalized higher-order shell theory

TL;DR: In this paper, higher-order closed-form solutions are obtained for static bending and free vibration analysis of laminated composite and sandwich spherical shells using a generalized higher order shell theory.
Journal ArticleDOI

A new shear and normal deformation theory for isotropic, transversely isotropic, laminated composite and sandwich plates

TL;DR: In this paper, a sinusoidal shear and normal deformation theory taking into account effects of transverse shear as well as transverse normal is used to develop the analytical solution for the bidirectional bending analysis of isotropic, transversely isotropically, laminated composite and sandwich rectangular plates.
References
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Book

Mechanics of Laminated Composite Plates and Shells : Theory and Analysis, Second Edition

TL;DR: The use of composite materials in engineering structures continues to increase dramatically, and there have been significant advances in modeling for general and composite materials and structures in particular as discussed by the authors. But the use of composites is not limited to the aerospace domain.
Journal ArticleDOI

A Simple Higher-Order Theory for Laminated Composite Plates

TL;DR: In this paper, a higher-order shear deformation theory of laminated composite plates is developed, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate.
Book

Mechanics of laminated composite plates and shells : theory and analysis

J. N. Reddy
TL;DR: In this article, the authors present an analysis of the properties of composite materials using the classical and first-order theories of Laminated Composite Plates and shells, as well as a detailed analysis of their properties.
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