An isogeometric approach for size-dependent buckling analysis of FGM nanoplates

M Abdel-Wahab,H Nguyen-Xuan,P Phung-Van

doi:10.1088/1742-6596/842/1/012085

M Abdel-Wahab, H Nguyen-Xuan + Show 1 more

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https://doi.org/10.1088/1742-6596/842/1/012085

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Abstract

In this paper, a suitable and simple computational formulation based on Isogeometric Analysis (IGA) integrated with higher-order shear deformation theory (HSDT) is introduced for size-dependent buckling analysis of functionally graded material (FGM) nanoplates. The material properties of FGM based on the Mori–Tanaka schemes and the rule of mixture are used. The differential nonlocal equations are utilized to take into account size effects. The nonlocal governing equations are approximated according to IGA based on HSDT, which satisfies naturally the higher-order derivatives continuity requirement in weak form of FGM nanoplates. The effect of nonlocal approach on the behaviors of the FGM nanoplates with several volume fraction exponents is investigated to show the reliability of the proposed method.

Highlights

There has recently been a fast growth in applications of nanoscale structures, which are primarily concerned with fabrication of functionally graded material (FGM)
In this paper, a simple and effective approach using Isogeometric Analysis (IGA) based on higher-order shear deformation theory (HSDT) for size-dependent buckling analysis of FGM nanoplates
The material properties of FGM based on the Mori–Tanaka schemes and the rule of mixture are considered

Summary

Introduction

There has recently been a fast growth in applications of nanoscale structures, which are primarily concerned with fabrication of FGMs. The free vibration and buckling analyses of FG nano-plate using Navier solution subjected to thermal load were reported in Ref. Size-dependent free analysis of FGM square plate based on FSDT was reported by Natarajan et al [23]. Size-dependent analysis of FG nano-plates using IGA based on quasi-3D theory is recently examined in Ref [24]. Phung-Van et al studied static and free vibration analyses of FG-CNTRC nano-plates [25] and nonlinear transient analysis of FGM nanoplates [26]. Mechanical behaviours of FGM composite plates based on the local continuum theory have recently been published in Refs. This paper aims to develop a size-dependent buckling analysis of FGM nano-plates by a combination of IGA and the nonlocal continuum theory based on HSDT.

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