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Structural Engineering and Mechanics Volume 60, Number 4, November25 2016 , pages 547-565 DOI: https://doi.org/10.12989/sem.2016.60.4.547 |
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A new 3-unknowns non-polynomial plate theory for buckling and vibration of functionally graded sandwich plate |
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Abdelouahed Tounsi, Mohammed Sid Ahmed Houari, Aicha Bessaim
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| Abstract | ||
| In this work a new 3-unknown non-polynomial shear deformation theory for the buckling and vibration analyses of functionally graded material (FGM) sandwich plates is presented. The present theory accounts for non-linear in plane displacement and constant transverse displacement through the plate thickness, complies with plate surface boundary conditions, and in this manner a shear correction factor is not required. The main advantage of this theory is that, in addition to including the shear deformation effect, the displacement field is modelled with only 3 unknowns as the case of the classical plate theory (CPT) and which is even less than the first order shear deformation theory (FSDT). The plate properties are assumed to vary according to a power law distribution of the volume fraction of the constituents. Equations of motion are derived from the Hamilton | ||
| Key Words | ||
| sandwich plate; functionally graded material; vibration; buckling; a non- polynomial 3-unknown theory | ||
| Address | ||
| Abdelouahed Tounsi: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria Mohammed Sid Ahmed Houari and Aicha Bessaim: Material and Hydrology Laboratory, Faculty of Technology, Civil Engineering Department, University of Sidi Bel Abbes, Algeria; Department of Civil Engineering, Université Mustapha Stambouli de Mascara, Mascara, Algeria | ||