This work presents a simple and refined nth-order shear deformation theory for mechanical and thermal buckling behaviors of functionally graded (FG) plates resting on elastic foundation. The proposed refined nth-order shear deformation theory has a new displacement field which includes undetermined integral terms and contains only four unknowns. Governing equations are obtained from the principle of minimum total potential energy. A Navier type analytical solution methodology is also presented for simply supported FG plates resting on elastic foundation which predicts accurate solution. The accuracy of the present model is checked by comparing the computed results with those obtained by classical plate theory (CPT), first-order shear deformation theory (FSDT) and higher-order shear deformation theory (HSDT). Moreover, results demonstrate that the proposed theory can achieve the same accuracy of the existing HSDTs which have more number of variables.
Key Words
buckling; functionally graded plate; elastic foundation; plate theory
Address
(1) Asmaa Fahsi, Abdelouahed Tounsi, Habib Hebali, Abdelbaki Chikh, E.A. Adda Bedia — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
(2) Abdelouahed Tounsi — Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria
(3) Habib Hebali, Abdelbaki Chikh — Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie
(4) S.R. Mahmoud — Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia
(5) S.R. Mahmoud — Mathematics Department, Faculty of Science, University of Sohag, Egypt.
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