M. Moeinfar’s scientific contributions

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Publications (1)


Table 4
Fig. 5. Effect of aspect ratio and loading conditions on the critical buckling modes.
Table 5
Convergence of results versus variation of Legendre polynomials order.
Comparison of results for incompressible and compressible FG square plate.

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Bending, Buckling and Free Vibration Analysis of Incompressible Functionally Graded Plates Using Higher Order Shear and Normal Deformable Plate Theory
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December 2018

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198 Reads

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36 Citations

Applied Mathematical Modelling

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M. Moeinfar

In the present study, higher order shear and normal deformable plate theory is developed for analysis of incompressible functionally graded rectangular thick plates. Also, The effect of incompressibility is studied on the static, dynamic and stability responses of thick plate. It is assumed that plate is incompressible and the incompressibility condition is considered in addition to the governing equations for determining the unknowns. Since the plate is thick, higher order shear and normal deformable theory is applied so that the Legendre polynomials are used for expansion of displacement field components in the thickness direction. Also, it is supposed that material properties vary through the thickness based on the power law function. Utilizing the variational approach, governing equations for static, stability and dynamic analysis of plate are derived. Resulted equations are solved analytically for simply supported plates. Finally, the effects of material properties and dimensions on the response of incompressible plates are investigated in details.

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Citations (1)


... Very recently, Lieu et al. 23 solved the problems of free vibration and buckling for 2D FG plates using NURBS-based modeling. Mohammadi et al. 24 examined FG plates' bending, buckling, and vibration behavior by developing higher-order deformation theory. Employing a semi-analytic approach, Kolakowski and Czechowski 25 investigated nonlinear stability of in-plane FG plates for clamped and simplysupported boundaries. ...

Reference:

Effects of Pasternak Foundation on Asymmetric Thermomechanical Stability Analysis of Bi-Directional Functionally Graded Discs
Bending, Buckling and Free Vibration Analysis of Incompressible Functionally Graded Plates Using Higher Order Shear and Normal Deformable Plate Theory

Applied Mathematical Modelling