A four variable refined plate theory for free vibrations of functionally graded plates with arbitrary gradient

By A. Benachour, Hassaine Daouadji Tahar, Hassen Ait Atmane, Abdelouahed Tounsi, Meftah Sid Ahmed. 2011

221 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

An efficient and simple refined theory for buckling and free vibration of exponentially graded sandwich plates under various boundary conditions (2014, background): “In this study, two different shape functions are considered [18, 20]:”
New Quasi-3D Hyperbolic Shear Deformation Theory for the Static and Free Vibration Analysis of Functionally Graded Plates (2014, background): “Recently, new plate theories, which involve only four unknown functions and yet take into account shear deformations, are developed by Tounsi and coworkers (2013) and others (Mechab et al. 2010; Houari et al. 2011; Ameur et al. 2011; El Meiche et al. 2011; Benachour et al. 2011; Hadji et al. 2011).”
A new simple shear and normal deformations theory for functionally graded beams (2015, methodology): “Material non-homogeneous properties of a functionally graded beam may be obtained by means of the Voigt rule of mixture (Suresh and Mortensen 1998, Benachour et al. 2011, Bourada et al. 2012, Bachir Bouiadjra et al. 2012, Zidi et al. 2014, Klouche Djedid et al. 2014).”
On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, methodology): “…from the following expressions GK KGE 3 9 (4a) GK GK 32 23 (4b) The effective mass density ρ is given by the rule of mixtures as (Natarajan et al. 2011, Benachour et al. 2011, Bessaim et al. 2013, Yaghoobi and Torabi 2013, Tounsi et al. 2013d, Ould Larbi et al. 2013, Bouremana et al. 2013,…”