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

Van-Hau Nguyen; Trung-Kien Nguyen; Huu-Tai Thai; Thuc Vo

doi:10.1016/j.compositesb.2014.05.012

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

Van-Hau Nguyen, Trung-Kien Nguyen, Huu-Tai Thai, Thuc Vo

Research output: Contribution to journal › Article › peer-review

196 Citations (Scopus)

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Abstract

A new inverse trigonometric shear deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing shear deformation theories is found to demonstrate the accuracy of the proposed theory.

Original language	English
Pages (from-to)	233-246
Journal	Composites Part B: Engineering
Volume	66
Early online date	23 May 2014
DOIs	https://doi.org/10.1016/j.compositesb.2014.05.012
Publication status	Published - Oct 2014

Keywords

Plates
buckling
vibration
numerical analysis

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10.1016/j.compositesb.2014.05.012

Static Vib Buck SandFGplates HSDT submitSubmitted manuscript, 356 KB

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title = "A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates",

abstract = "A new inverse trigonometric shear deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing shear deformation theories is found to demonstrate the accuracy of the proposed theory.",

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T1 - A new inverse trigonometric shear deformation theory for isotropic and functionally graded sandwich plates

AU - Nguyen, Van-Hau

AU - Nguyen, Trung-Kien

AU - Thai, Huu-Tai

AU - Vo, Thuc

PY - 2014/10

Y1 - 2014/10

N2 - A new inverse trigonometric shear deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing shear deformation theories is found to demonstrate the accuracy of the proposed theory.

AB - A new inverse trigonometric shear deformation theory is proposed for the static, buckling and free vibration analyses of isotropic and functionally graded (FG) sandwich plates. It accounts for a inverse trigonometric distribution of transverse shear stress and satisfies the traction free boundary conditions. Equations of motion obtained here are solved for three types of FG plates: FG plates, sandwich plates with FG core and sandwich plates with FG faces. Closed-form solutions are obtained to predict the deflections, stresses, critical buckling loads and natural frequencies of simply supported plates. A good agreement between the obtained predictions and the available solutions of existing shear deformation theories is found to demonstrate the accuracy of the proposed theory.

KW - Plates

KW - buckling

KW - vibration

KW - numerical analysis

UR - https://www.scopus.com/pages/publications/84902653635

U2 - 10.1016/j.compositesb.2014.05.012

DO - 10.1016/j.compositesb.2014.05.012

M3 - Article

SN - 1359-8368

VL - 66

SP - 233

EP - 246

JO - Composites Part B: Engineering

JF - Composites Part B: Engineering

ER -

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

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Keywords

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