Bending, axial buckling and shear buckling analyses of FG-porous plates based on a refined plate theory

ABSTRACT

In this paper, numerical solutions are presented for static bending and mechanical buckling analyses of functionally graded porous (FGP) plates. The plate is modelled based on a refined plate theory and three porosity distributions with the same total mass density are considered. The set of the governing equations is derived using minimum potential energy and is solved numerically using the differential quadrature method (DQM). Convergence and accuracy of the solution are confirmed and the effects of porosity parameter, porosity distribution pattern, thickness and aspect ratio of the plate and boundary conditions on the deflection, intensity and distribution of stress and critical buckling load are investigated. It is shown by the numerical examples that an increment in the porosity parameter leads to a reduction in the critical buckling load and an increase in static deflection of the plate. Numerical results reveal that the effect of the porosity parameter on the distribution and intensity of the stress components strongly is dependent on the porosity distribution pattern.

KEYWORDS:

• Bending
• buckling
• porous plate
• differential quadrature method

Disclosure statement

No potential conflict of interest was reported by the author(s).

Data availability statement

Data are available within the article or its supplementary materials.

Additional information

Notes on contributors

Ahmad Reza Khorshidvand

Ahmad Reza Khorshidvand is an associate professor of mechanical engineering at Islamic Azad University, South Tehran Branch in Iran. His research interests are buckling, post-buckling and vibration analyses, plates and shells, and FG materials.

Ali Reza Damercheloo

Ali Reza Damercheloo received his B.SC and M.Sc degrees in 2016 from the Islamic Azad University, Karaj Branch, Iran. Currently, he is a Ph.D. student of mechanical engineering at Islamic Azad University, South Tehran Branch in Iran. His research interests are buckling and vibration analyses, plates and shells, and numerical methods in mechanical engineering.