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Structural Engineering and Mechanics
  Volume 73, Number 3, February10 2020 , pages 225-238

Size-dependent buckling behaviour of FG annular/circular thick nanoplates with porosities resting on Kerr foundation based on new hyperbolic shear deformation theory
Amirmahmoud Sadoughifar, Fatemeh Farhatnia, Mohsen Izadinia and Sayed Behzad Talaeetaba

    This work treats the axisymmetric buckling of functionally graded (FG) porous annular/circular nanoplates based on modified couple stress theory (MCST). The nanoplate is located at the elastic medium which is simulated by Kerr foundation with two spring and one shear layer. The material properties of the porous FG nanostructure are assumed to vary through the nanoplate thickness based on power-law rule. Based on two variables refined plate theory, the governing equations are derived by utilizing Hamilton\'s principle. Applying generalized differential quadrature method (GDQM), the buckling load of the annular/circular nanoplates is obtained for different boundary conditions. The influences of different involved parameters such as boundary conditions, Kerr medium, material length scale parameter, geometrical parameters of the nanoplate, FG power index and porosity are demonstrated on the nonlinear buckling load of the annular/circular nanoplates. The results indicate that with increasing the porosity of the nanoplate, the nonlinear buckling load is decreased. In addition, with increasing the material length scale parameter to thickness ratio, the effect of spring constant of Kerr foundation on the buckling load becomes more prominent. The present results are compared with those available in the literature to validate the accuracy and reliability. A good agreement is observed between the two sets of the results.
Key Words
    nonlinear buckling; annular/circular nanoplates; FGM; porosity; Kerr medium
Amirmahmoud Sadoughifar: Department of Civil Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Isfahan, Iran
Fatemeh Farhatnia,Amirmahmoud Sadoughifar: Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran
Amirmahmoud Sadoughifar, Mohsen Izadinia: Department of Civil Engineering, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Isfahan, Iran

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