A theoretical analysis of FGM thin plates based on physical neutral surface

By Da-Guang Zhang, Youhe Zhou. 2008

348 citations recorded by the source corpus.

This paper presents a theoretical analysis to the FGM (functionally graded materials) thin plates based on the physical neutral surface. Under the assumption of changeable parameters such as the Young’s modulus E and the mass density ρ along the thickness of the plate, the physical neutral surface of a FGM plate is determined by the theory of thin plate when the Poisson’s ratio ν is assumed to be constant in whole plate. After that, the displacements in-surface (u0 and v0) can be neglected in small deflection problems, there is no stretching–bending coupling effect in constitutive equations of physical neutral surface thin plate theory in both small and large deflection problems, and governing equations and boundary conditions of physical neutral surface thin plate theory have the simple forms as those of classical thin plate theory about homogeneous isotropic materials, so the solution procedure of physical neutral surface thin plate theory is as easy as homogeneous isotropic plate. The validity of FGM thin theory based on physical neutral surface is verified by comparison with related literatures. Physical neutral surface thin plate theory has more merits in the engineering application, because it is easier and simpler than classical laminated plate theory based on geometric middle surface.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a433c4c845f0ea6048df8515955c95d17736758e

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

An Efficient Shear Deformation Beam Theory Based on Neutral Surface Position for Bending and Free Vibration of Functionally Graded Beams# (2013, background): “The position of the neutral surface of the FG beam is determined to satisfy the first moment with respect to Young’s modulus being zero as follows (Zhang and Zhou, 2008): ∫ h/2 −h/2 E zms zms − C dzms = 0 (3)”
Free vibration of functionally graded rectangular plates using first-order shear deformation plate theory (2010, methodology): “Free vibration, buckling and deflection analysis of the FG thin plates were presented by Zhang and Zhou [2] on the basis of the physical neutral surface.”
A critical review of recent research on functionally graded plates (2013, background): “Zhang and Zhou [92] analysed the FG thin plates based on the physical neutral surface concept using CPT (assuming that there is no stretching–bending coupling effect in the constitutive equations in both small and large deflection problems).”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “An analytical solution for FGM thin plates based on physical neutral surface was presented by Zhang and Zhou [81].”
A Semi-analytical Method for Vibrational and BucklingAnalysis of Functionally Graded Nanobeams Consideringthe Physical Neutral Axis Position (2015, background): “Based on the physical neutral surface concept introduced by Zhang and Zhou (2008), the physical neutral surface of FGM beam is given by:”