La Trobe
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Postbuckling analysis of functionally graded nanoplates based on nonlocal theory and isogeometric analysis

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journal contribution
posted on 2020-12-02, 04:57 authored by Son Thai, Huu Tai Thai, Thuc VoThuc Vo, Seunghye Lee
© 2018 Elsevier Ltd

This study aims to investigate the postbuckling response of functionally graded (FG) nanoplates by using the nonlocal elasticity theory of Eringen to capture the size effect. In addition, Reddy's third-order shear deformation theory is adopted to describe the kinematic relations, while von Kámán's assumptions are used to account for the geometrical nonlinearity. In order to calculate the effective material properties, the Mori-Tanaka scheme is adopted. Governing equations are derived based on the principle of virtual work. Isogeometric analysis (IGA) is employed as a discretization tool, which is able to satisfy the C1-continuity demand efficiently. The Newton-Raphson iterative technique with imperfections is employed to trace the postbuckling paths. Various numerical studies are carried out to examine the influences of gradient index, nonlocal effect, ratio of compressive loads, boundary condition, thickness ratio and aspect ratio on the postbuckling behaviour of FG nanoplates.


This research study was supported by La Trobe University under its Disciplinary Research Program (DRP) and Postgraduate Research Scholarship. This financial support is gratefully acknowledged


Publication Date



Composite Structures




8p. (p. 13-20)





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