Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory

In this article, the analyses of free vibration of nanoplates, such as single-layered graphene sheets (SLGS), lying on an elastic medium is evaluated and analyzed via a novel refined plate theory mathematical model including small-scale effects. The noteworthy feature of theory is that the displacement field is modelled with only four unknowns, which is even less than the other shear deformation theories. The present one has a new displacement field which introduces undetermined integral variables, the shear stress free condition on the top and bottom surfaces of the plate is respected and consequently, it is unnecessary to use shear correction factors. The theory involves four unknown variables, as against five in case of other higher order theories and first-order shear deformation theory. By using Hamilton’s principle, the nonlocal governing equations are obtained and they are solved via Navier solution method. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, nonlocal parameter, and elastic foundation parameters are all examined. From this work, it can be observed that the small-scale effects and elastic foundation parameters are significant for the natural frequency.

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Buckling analysis of isotropic and orthotropic plates using a novel four variable refined plate theory

Steel and Composite Structures ◽

10.12989/scs.2016.21.6.1287 ◽

2016 ◽

Vol 21 (6) ◽

pp. 1287-1306 ◽

Cited By ~ 26

Author(s):

Fouad Bourada ◽

Khaled Amara ◽

Abdelouahed Tounsi

Keyword(s):

Plate Theory ◽

Buckling Analysis ◽

Orthotropic Plates ◽

Refined Plate Theory

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Free Vibration and Buckling Analysis of Functionally Graded Plates Resting on Elastic Foundation Using Higher Order Theory

International Journal of Structural Stability and Dynamics ◽

10.1142/s0219455418500499 ◽

2018 ◽

Vol 18 (04) ◽

pp. 1850049 ◽

Cited By ~ 8

Author(s):

Smita Parida ◽

Sukesh Chandra Mohanty

Keyword(s):

Free Vibration ◽

Shear Deformation ◽

Elastic Foundation ◽

Volume Fraction ◽

Plate Theory ◽

Higher Order ◽

Buckling Analysis ◽

Functionally Graded ◽

Transverse Displacement ◽

Pasternak Elastic Foundation

This paper deals with the free vibration and buckling analysis of functionally graded material (FGM) plates, resting on the Winkler–Pasternak elastic foundation. The higher order shear deformation plate theory (HSPT) is adopted for the realistic variation of transverse displacement through the thickness, using the power law distribution to describe the variation of the material properties. Both the effects of shear deformation and rotary inertia are considered. In the present model, the plate is discretised into [Formula: see text] eight noded serendipity quadratic elements with seven nodal degrees of freedom (DOFs). The validation study is carried out by comparing the calculated values with those given in the literature. The effects of various parameters like the Winkler and Pasternak modulus coefficients, volume fraction index, aspect ratio, thickness ratio and different boundary conditions on the behaviour of the FGM plates are studied.

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