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Steel and Composite Structures Volume 42, Number 5, March10 2022 , pages 711-722 DOI: https://doi.org/10.12989/scs.2022.42.5.711 |
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Non-linear thermal buckling of FG plates with porosity |
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Lazreg Hadji, Mohammadreza Amoozgar and Abdelouahed Tounsi
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| Abstract | ||
| In this paper, hyperbolic shear deformation plate theory is developed for thermal buckling of functionally graded plates with porosity by dividing transverse displacement into bending and shear parts. The present theory is variationally consistent, and accounts for a quadratic variation of the transverse shearstrains across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the plate without using shear correction factors. Three different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. The logarithmic-uneven porosities for first time is mentioned. Equilibrium and stability equations are derived based on the present theory. The non-linear governing equations are solved for plates subjected to simply supported boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. A comprehensive parametric study is carried out to assess the effects of volume fraction index, porosity fraction index, aspect ratio and side-to-thickness ratio on the buckling temperature difference of imperfect FG plates. | ||
| Key Words | ||
| functionally graded materials; porosity; stability equations; thermal buckling | ||
| Address | ||
| Lazreg Hadji:Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City 70000, Vietnam/ Department of Civil Engineering, University of Tiaret, BP 78 Zaaroura, Tiaret, 14000, Algeria Mohammadreza Amoozgar:School of Computing and Engineering, University of Huddersfield, Huddersfield HD1 3DH, U.K. Abdelouahed Tounsi:YFL (Yonsei Frontier Lab), Yonsei University, Seoul, Korea/ Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals,31261 Dhahran, Eastern Province, Saudi Arabia/ Material and Hydrology Laboratory, University of Sidi Bel Abbes 22000, Algeria | ||