Techno Press
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Steel and Composite Structures   Volume 25, Number 2, October10 2017, pages 157-175
A new and simple HSDT for thermal stability analysis of FG sandwich plates
Abderrahmane Menasria, Abdelhakim Bouhadra, Abdelouahed Tounsi, Abdelmoumen Anis Bousahla and S.R. Mahmoud

Abstract     [Full Text]
    The novelty of this work is the use of a new displacement field that includes undetermined integral terms for analyzing thermal buckling response of functionally graded (FG) sandwich plates. The proposed kinematic uses only four variables, which is even less than the first shear deformation theory (FSDT) and the conventional higher shear deformation theories (HSDTs). The theory considers a trigonometric variation of transverse shear stress and verifies the traction free boundary conditions without employing the shear correction factors. Material properties of the sandwich plate faces are considered to be graded in the thickness direction according to a simple power-law variation in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are assumed as uniform, linear and non-linear temperature rises within the thickness direction. An energy based variational principle is employed to derive the governing equations as an eigenvalue problem. The validation of the present work is checked by comparing the obtained results the available ones in the literature. The influences of aspect and thickness ratios, material index, loading type, and sandwich plate type on the critical buckling are all discussed.
Key Words
    thermal buckling; sandwich plate; functionally graded materials; plate theory
(1) Abderrahmane Menasria, Abdelhakim Bouhadra, Abdelouahed Tounsi, Abdelmoumen Anis Bousahla:
Materials and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria;
(2) Abderrahmane Menasria, Abdelhakim Bouhadra:
Université de Abbés Laghrour Khenchela, Faculté de Sciences & Technologie, Département de Génie Civil, Algeria;
(3) Abdelouahed Tounsi:
Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, Département de Génie Civil, Algeria;
(4) Abdelouahed Tounsi, Abdelmoumen Anis Bousahla:
Laboratoire de Modélisation et Simulation Multi-échelle, Université de Sidi Bel Abbés, Algeria;
(5) Abdelmoumen Anis Bousahla:
Centre Universitaire de Relizane, Algerié;
(6) S.R. Mahmoud:
Department of Mathematics, Faculty of Science, King Abdulaziz University, Saudi Arabia.

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