Bharti Shinde - Academia.edu (original) (raw)

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UERJ - Universidade do Estado do Rio de Janeiro / Rio de Janeiro State University

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Papers by Bharti Shinde

Journal of Thermal Stresses

Materials Today: Proceedings

Latin American Journal of Solids and Structures, 2016

In the present study, a simple trigonometric shear deformation theory is applied for the bending,... more In the present study, a simple trigonometric shear deformation theory is applied for the bending, buckling and free vibration of crossply laminated composite plates. The theory involves four unknown variables which are five in first order shear deformation theory or any other higher order theories. The in-plane displacement field uses sinusoidal function in terms of thickness coordinate to include the shear deformation effect. The transverse displacement includes bending and shear components. The present theory satisfies the zero shear stress conditions at top and bottom surfaces of plates without using shear correction factor. Equations of motion associated with the present theory are obtained using the dynamic version of virtual work principle. A closed form solution is obtained using double trigonometric series suggested by Navier. The displacements, stresses, critical buckling loads and natural frequencies obtained using present theory are compared with previously published results and found to agree well with those.

International Journal of Automotive Composites, 2016

In this paper, thermal analysis of a thick isotropic rectangular plate is carried out using the h... more In this paper, thermal analysis of a thick isotropic rectangular plate is carried out using the hyperbolic shear deformation theory (HYSDT). The displacement field of the theory contains three variables. The hyperbolic sine and cosine functions are used in the displacement field in-terms of thickness coordinate to represent the effect of shear deformation. The most important feature of the theory is that, the transverse shear stresses can be obtained directly from the use of constitutive relations, hence the theory does not need shear correction factor. The theory accounts for parabolic distribution of transverse shear stresses across the thickness satisfying the stress free boundary conditions at top and bottom surfaces of the plate. Governing differential equations and boundary conditions of the theory are obtained using the principle of virtual work. The results obtained for bending analysis of isotropic plates subjected to uniformly distributed thermal load are compared with tho...

In this paper, a refined trigonometric shear deformation theory is applied for the bending analys... more In this paper, a refined trigonometric shear deformation theory is applied for the bending analysis of isotropic and orthotropic plates under the various loading conditions. The two unknown variables are involved in the present theory. The present theory satisfies the shear stress free condition at top and bottom surface of the plates without using shear correction factors. The governing equations and boundary conditions are obtained by using the principle of virtual work. A closed form solution is obtained using Navier Solution Scheme. A simply supported isotropic and orthotropic plate subjected to sinusoidally distributed, uniformly distributed and linearly varying loads are considered for the detailed numerical study. The results obtained using present theory are compared with previously published results.

In this paper, a hyperbolic shear deformation theory taking into account transverse shear deforma... more In this paper, a hyperbolic shear deformation theory taking into account transverse shear deformation effects, is presented for the bending analysis of thick isotropic plates subjected to linear thermal load. The displacement field of the theory contains three variables. The hyperbolic sine and cosine function is used in the displacement field in terms of thickness coordinate to represent the effect of shear deformation. The most important feature of the theory is that the transverse shear stresses can be obtained directly from the use of constitutive relations, satisfying the stress free boundary conditions at top and bottom surfaces of the plate. Hence, the theory eliminates the need of shear correction factor.Governing differential equations and boundary conditions of the theory are obtained using the principle of virtual work.Results obtained for bending analysis of isotropic plates subjected to linear thermal load are compared with those of other higher order theories, lower or...

This paper presents a displacement based refined shear deformation theory which includes transver... more This paper presents a displacement based refined shear deformation theory which includes transverse shear effect for laminated plates. Appropriate reviews of the recent developments in the analysis of plates with an emphasis placed on shear deformation effects are considered. A refined shear deformation theory for flexural analysis of thick laminated composite plates under cylindrical bending, taking into account transverse shear deformation effects, is developed. The parabolic functions are used in displacement field in terms of thickness coordinate to represent the shear deformation effects. The theory obviates the need of shear correction factor. Governing differential equations and boundary conditions are obtained by using the principle of virtual work. In the present work the laminated composite plates under cylindrical bending are considered for the numerical studies to demonstrate the efficiency of the theory.