An analytical method for free vibration analysis of functionally graded beams with edge cracks

By Dong Wei, Yinghua Liu, Z. Xiang. 2012

118 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.

Modeling and analysis of functionally graded sandwich beams: a review (2019, methodology): “The Power law (P-FGM) [21], [28], [47–50], [52]–[54], [56], [58]–[63], [66], [67], [71], [74]–[78], [85]–[92], [98]–[103], [109, 110], [113], [115]–[119], [121], [129]–[132], [134–140], [143–146], [149]–[162], [164], [168]–[176], [181]–[184], [186]–[189], [194], [196], [198–209], [211], [213, 214] T”
A new simple shear and normal deformations theory for functionally graded beams (2015, background): “…beam theory is simple to implement and applied for moderately deep FG beams and gives acceptable results but depends on a shear correction factor which is hard to find as it depends on many parameters (Bouremana et al. 2013, Chakraborty et al. 2003, Li 2008, Sina et al. 2009, Wei et al. 2012).”
Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories (2012, background): “Since the FBT violates the zero shear stress conditions on the top and bottom surfaces of the beam, a shear correction factor is required to account for the discrepancy between the actual stress state and the assumed constant stress state [4-7].”