Post-buckling and nonlinear free vibration analysis of geometrically imperfect functionally graded beams resting on nonlinear elastic foundation

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On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model (2015, methodology): “…(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, Hebali et al. 2014) mmCC VV (5) 1066 On…”
Geometrically nonlinear free vibration analysis of axially functionally graded taper beams (2015, background): “Some research works are also available on the effect of nonlinear elastic foundations on free vibration behavior of FG beams [10,19,31,47].”
Bending and buckling analyses of functionally graded material (FGM) size-dependent nanoscale beams including the thickness stretching effect (2015, background): “Yaghoobi and his co-workers (Yaghoobi and Torabi 2013a, b, Yaghoobi and 426 Bending and buckling analyses of functionally graded material (FGM) Yaghoobi 2013, Yaghoobi and Fereidoon 2014) studied the buckling behavior of FGM structures.”
A sinusoidal plate theory with 5-unknowns and stretching effect for thermomechanical bending of functionally graded sandwich plates (2015, background): “Increased use of FGMs in various structural applications necessitates the development of accurate theoretical models to predict their response (Yaghoobi and Torabi 2013a, b, c).”