A quasi-3D hyperbolic shear deformation theory for functionally graded plates

Abstract

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

“…Several similar five-unknown quasi-3D theories were also proposed using different shape functions such as hyperbolic functions [312][313][314][315], sinusoidal functions [316], combined hyperbolic and exponential functions [317][318] and combined hyperbolic and sinusoidal functions [319]. Based on trigonometric functions, Mantari and Guedes Soares [320][321] proposed simple four-unknown quasi-3D theories for FG plates by combining the shear and stretching parts of the transverse displacement.…”

A review of continuum mechanics models for size-dependent analysis of beams and plates

“…The displacement field of their model was based on that proposed by Thai et al [250] in which the transverse displacements are partitioned into bending, shear and thickness stretching components as shown in Table 2.…”

Buckling and postbuckling of biaxially compressed functionally graded multilayer graphene nanoplatelet-reinforced polymer composite plates

“…For the structural analysis of composite plates, recently several effective and accurate plate theories have been developed, such as third-order shear deformation plate theories [35][36][37], a simple first-order shear deformation plate theory [38], and a Quasi-3D hyperbolic shear deformation theory [39]. At the same time, efforts also focused on the development of effective solution methods, such as the meshfree methods [10][11][12][40][41][42], the variational differential quadrature method [43], the isogeometic analysis methods [44][45][46], and the perturbation method [47].…”