A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

Abstract

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A Refined Simple First-Order Shear Deformation Theory for Static Bending and Free Vibration Analysis of Advanced Composite Plates

“…Mantari and his co-authors [81,82,83,84,85,86,87,88,89,90] developed various quasi-3D plate theories for the static bending, free vibration, and buckling of laminated composite plates, FGM plates, and sandwich FGM plates. Nguyen et al [91] developed a new inverse trigonometric shear deformation theory for isotropic and FGM sandwich plates analysis. Thai et al [92,93] applied IGA with the inverse trigonometric shear deformation theory and generalized shear deformation theory to investigate laminated composite and FGM sandwich plates.…”

A refined quasi-3D isogeometric analysis for functionally graded microplates based on the modified couple stress theory

“…Owing to these striking features, FGMs are applicable to various fields of engineering including aerospace, nuclear power, chemistry and bio-engineering. FGMs have also been widely studied for various types of structures such as beams [1][2][3][4], plates [5][6][7][8], and shells [9][10][11].…”

Electro-mechanical vibration of smart piezoelectric FG plates with porosities according to a refined four-variable theory

“…In this theory, transverse shear strain distribution is assumed to be constant through the plate thickness and thus requires shear correction factor to appropriately represent the strain energy of deformation. To solve this problem, higher order plate theories are introduced such as third order shear deformable theory (TSDT) of Reddy [21][22][23][24], sinusoidal theory Zenkour [25][26][27][28][29], secant function based theory [30], hyperbolic theory [31][32][33], inverse trigonometric shear deformation theory [34][35][36][37][38].…”