Extended isogeometric analysis based on Bézier extraction for an FGM plate by using the two-variable refined plate theory

In this study, we propose a novel and effective computational approach for free and forced vibration analyses of functionally graded (FG) porous plates with graphene platelets (GPLs) reinforcement under various loads. To this end, the outstanding features of isogeometric analysis (IGA) are first combined with the four-variable refined plate theory (RPT). The non-uniform rational B-splines (NURBS) are adopted to obtain the [Formula: see text]-continuity essential to the RPT model. The various distributions of internal pores as well as GPLs with uniform or non-uniform properties along the plate’s thickness are investigated. The effective elastic properties of the material models are obtained by the Halpin–Tsai micromechanics model for Young’s modulus, the rule of mixture for Poisson’s ratio and mass density. The Newmark’s time integration scheme is implemented to obtain the solutions of the forced vibration problems. Numerical examples are carried out to investigate the effects of various key parameters such as porosity coefficient, GPL weight fraction, porosity distribution, as well as GPL dispersion pattern, on the behaviors of the plate structure.

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Isogeometric analysis of functionally graded CNT-reinforced composite plates based on refined plate theory

Journal of Mechanical Science and Technology ◽

10.1007/s12206-020-0821-0 ◽

2020 ◽

Vol 34 (9) ◽

pp. 3687-3700

Author(s):

Zhenyu Liu ◽

Chuang Wang ◽

Guifang Duan ◽

Jianrong Tan

Keyword(s):

Isogeometric Analysis ◽

Plate Theory ◽

Composite Plates ◽

Functionally Graded ◽

Refined Plate Theory ◽

Reinforced Composite

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Isogeometric analysis of functionally graded plates using a refined plate theory

Composites Part B Engineering ◽

10.1016/j.compositesb.2014.04.001 ◽

2014 ◽

Vol 64 ◽

pp. 222-234 ◽

Cited By ~ 92

Author(s):

H. Nguyen-Xuan ◽

Loc V. Tran ◽

Chien H. Thai ◽

S. Kulasegaram ◽

S.P.A. Bordas

Keyword(s):

Isogeometric Analysis ◽

Plate Theory ◽

Functionally Graded ◽

Functionally Graded Plates ◽

Refined Plate Theory

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Refined plate theory and its variants

AIAA Journal ◽

10.2514/3.15006 ◽

2002 ◽

Vol 40 ◽

pp. 137-146 ◽

Cited By ~ 2

Author(s):

R. P. Shimpi

Keyword(s):

Plate Theory ◽

Refined Plate Theory

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Interlaminar stress analysis of functionally graded graphene reinforced composite laminated plates based on a refined plate theory

Mechanics of Advanced Materials and Structures ◽

10.1080/15376494.2021.1919805 ◽

2021 ◽

pp. 1-13

Author(s):

Qilin Jin

Keyword(s):

Stress Analysis ◽

Plate Theory ◽

Functionally Graded ◽

Laminated Plates ◽

Refined Plate Theory ◽

Interlaminar Stress ◽

Composite Laminated Plates ◽

Reinforced Composite

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Non-Local Buckling Analysis of Functionally Graded Nanoporous Metal Foam Nanoplates

Coatings ◽

10.3390/coatings8110389 ◽

2018 ◽

Vol 8 (11) ◽

pp. 389 ◽

Cited By ~ 9

Author(s):

Yanqing Wang ◽

Zhiyuan Zhang

Keyword(s):

Metal Foam ◽

Plate Theory ◽

Constitutive Relations ◽

Equations Of Motion ◽

Local Buckling ◽

Functionally Graded ◽

Small Scale ◽

Refined Plate Theory ◽

Nanoporous Metal ◽

Non Local

In this study, the buckling of functionally graded (FG) nanoporous metal foam nanoplates is investigated by combining the refined plate theory with the non-local elasticity theory. The refined plate theory takes into account transverse shear strains which vary quadratically through the thickness without considering the shear correction factor. Based on Eringen’s non-local differential constitutive relations, the equations of motion are derived from Hamilton’s principle. The analytical solutions for the buckling of FG nanoporous metal foam nanoplates are obtained via Navier’s method. Moreover, the effects of porosity distributions, porosity coefficient, small scale parameter, axial compression ratio, mode number, aspect ratio and length-to-thickness ratio on the buckling loads are discussed. In order to verify the validity of present analysis, the analytical results have been compared with other previous studies.

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