Research PaperNo Access

A Nonlocal IGA Numerical Solution for Free Vibration and Buckling Analysis of Porous Sigmoid Functionally Graded (P-SFGM) Nanoplate

Faculty of Civil Engineering, Ho Chi Minh City University of Technology (HCMUT), 268 Ly Thuong Kiet Street, Ward 14, District 10, Ho Chi Minh City, 700000, Vietnam

Vietnam National University Ho Chi Minh City (VNU-HCM), Linh Trung Ward, Thu Duc District, Ho Chi Minh City, 700000, Vietnam

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Thanh Cuong Le

https://orcid.org/0000-0001-6828-0879

Faculty of Civil Engineering, Ho Chi Minh City Open University, Ho Chi Minh City, Vietnam

E-mail Address: cuong.lt@ou.edu.vn

Corresponding author.

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https://doi.org/10.1142/S0219455422501930Cited by:6 (Source: Crossref)

Abstract

The aim of this work is to investigate the free vibration and buckling characteristics of sigmoid functionally graded (FG) nanoplate with the influence of porosity. The modified rule of the mixture is utilized to calculate the effective material properties of porous sigmoid functionally graded (P-SFGM) nanoplate. Three schemes of porosity distribution, including uniform, symmetric and nonsymmetric are investigated. The first-order shear deformation theory is utilized to simulate the displacement fields of P-SFGM nanoplate. Eringen’s nonlocal elastic theory and isogeometric analysis (IGA) are used to establish the governing equations for free vibration and buckling analysis of nanoplate structure with small size effect. By using NURBS as a basic function, IGA can fulfill the higher-order derivative requirement of governing equations. The accuracy of the presented solution is verified. By taking the nonlocal parameter into account, the stiffness of the plate is softened. Also, the effects of porosity distribution across the plate’s thickness, porosity parameter, material power index, boundary conditions (BCs) and aspect ratio on the frequency response of P-SFGM nanoplate are presented.

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