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Computers and Concrete Volume 27, Number 1, January 2021 , pages 73-83 DOI: https://doi.org/10.12989/cac.2021.27.1.073 |
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Buckling analysis of functionally graded plates using HSDT in conjunction with the stress function method |
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Ahmed Bakoura, Fouad Bourada, Abdelmoumen Anis Bousahla, Abdeldjebbar Tounsi, Kouider Halim Benrahou, Abdelouahed Tounsi, Mesfer Mohammad Al-Zahrani and S.R. Mahmoud
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| Abstract | ||
| In this article, the mechanical buckling analysis of simply-supported functionally graded plates is carried out using a higher shear deformation theory (HSDT) in conjunction with the stress function method. The proposed formulation is variationally consistent, does not use a shear correction factor and gives rise to a variation of transverse shear stress such that the transverse shear stresses vary parabolically through the thickness satisfying the surface conditions without stress of shear. The properties of the plate are supposed to vary across the thickness according to a simple power law variation in terms of volume fraction of the constituents of the material. Numerical results are obtained to study the influences of the power law index and the geometric ratio on the critical buckling load. | ||
| Key Words | ||
| functionally graded materials; HSDT; stress function method; buckling analysis | ||
| Address | ||
| Ahmed Bakoura: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Departement de Genie Civil, Faculte d'Architecture et de Genie Civil, Universite des Sciences et de la Technologie d'Oran, BP 1505 El M'naouer, USTO, Oran, Algeria Fouad Bourada: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Departement des Sciences et de la Technologie, Universite de Tissemsilt, BP 38004 Ben Hamouda, Algerie Abdelmoumen Anis Bousahla: Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria Abdeldjebbar Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Laboratoire de Modelisation et Simulation Multi-echelle, Universite de Sidi Bel Abbes, Algeria Kouider Halim Benrahou: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria Abdelouahed Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; 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 Mesfer Mohammad Al-Zahrani: Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia S.R. Mahmoud: GRC Department, Jeddah Community College, King Abdulaziz University, Jeddah, Saudi Arabia | ||