Higher order refined computational models for the stability analysis of FGM plates – Analytical solutions

Thermal and thermomechanical postbuckling of FGM sandwich plates resting on elastic foundations with tangential edge constraints and temperature dependent properties

“…Recently, Tornabene et al [32] used the GDQ method basing on different higher-order shear deformation theories to investigate the recovery of through the thickness transverse normal and shear strains and stresses in FGM sandwich shell structures. Swaminathan and Naveenkumar [33] made use of higher order refined computational models and analytical solutions to study linear stability of FGM sandwich plates under mechanical compressive loads.…”

A review of theories for the modeling and analysis of functionally graded plates and shells

“…This quasi-3D theory was also employed by Swaminathan and Naveenkumar [211] to study the buckling of FG sandwich plates. Natarajan and Manickam [212] developed an eight-node C 0 continuous serendipity element with 13 DOFs per node to investigate the bending and free vibration of FG sandwich plates.…”

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

“…During rotation, a snap-through phenomenon can take place. Swaminathan and Naveenkumar [47] proposed the computational model for the stability analysis of FGM plates. Different computational models with varying degree of freedom that acknowledge the consequences of transverse and shear deformation were examined and concluded that the critical buckling load of FGM plates can be achieved by higher-order deformation theory.…”

“…It was concluded that natural frequency parameters are greatly affected by shearing layer elastic coefficient provided that Winkler elastic coefficient has moderate value. Furthermore, higher value of length to thickness ratio [33,34,46,47,55], power law index [35-38, 48-51, 58,65], and material property graded indexes lead natural frequency parameters to be reduced [46,63,137]. Zhao et al [138] used the element-free Kp-Ritz method to analyze free vibration of FGM plates.…”