Analysis of FGM Beams by Means of Classical and Advanced Theories

By Gaetano Giunta, S. Belouettar, Erasmo Carrera. 2010

140 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/6cf06f7da5ae36782cc07ebc88228e47a048ef9d

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Variable kinematic models applied to free-vibration analysis of functionally graded material shells (2010, background): “Application to FGM beams has been given in [14] where several refined beam theories were applied to the linear static analysis of beams made of FGM.”
Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “According to CUF displacements and stresses are the variables expanded according to the following formulas: u ¼ Ftut þ Fbub þ Frur ¼ Fsus; s ¼ t; b; r; r ¼ 2; :::::::;N rn ¼ Ftrnt þ Fbrnb þ Frrnr ¼ Fsrns; s ¼ t; b; r; r ¼ 2; :::::::;N where Ft, Fb, and Fr are the base functions used for z expansion;”
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, methodology): “via the use of a unified formulation) [25-27].”
Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory (2013, background): “[10–12] presented static and vibration analysis of functionally graded beams using this beam model.”
Static analyses of FGM beams by various theories and finite elements (2015, background): “[34] 4.”
Vibration and buckling analysis of functionally graded sandwich beams by a new higher-order shear deformation theory (2015, background): “This formulation was used extensively for various structural problems and only a few of them are cited here, for instance, static and vibration analysis of FG beams ([25]-[27]) and FG plates and shells ([28]-[31]).”
Recent developments on refined theories for beams with applications (2015, unknown): “Functionally graded material beams have been investigated via closed-form (Giunta et al., 2010, 2011) and FE (Mashat et al., 2014) solutions.”