Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation

By S. Kapuria, M. Bhattacharyya, Arvind Kumar. 2008

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Two-dimensional elasticity solutions for functionally graded beams resting on elastic foundations (2008, background): “Application of this function for describing the variation of material properties can also be found in [11–14].”
Static analyses of FGM beams by various theories and finite elements (2015, methodology): “[17] presented a third order zig-zag displacement theory in conjunction with the modified rule of mixture for the static and dynamic analyses of multilayered FG structures.”
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”
Free vibration of FGM layered beams by various theories and finite elements (2014, unknown): “For instance, in [8], Kapuria et al.”
Analysis of FGM Beams by Means of Classical and Advanced Theories (2010, background): “[29] proposed a finite element based on a third-order, zig-zag theory for the static and free vibration analysis of Al/SiC and Ni/Al2O2 layered functionally graded beams.”