Buckling Analysis of Embedded Functionally Graded Graphene Platelet-Reinforced Porous Nanocomposite Plates with Various Shapes Using the P-Ritz Method

Document Type : Research Article

Authors

1 Faculty of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran

2 Department of Engineering Science, Faculty of Technology and Engineering, East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran

Abstract

In this study, the buckling of functionally graded graphene platelet-reinforced porous nanocomposite plates with various shapes such as rectangular, elliptical, and triangular ones embedded in an elastic medium is analyzed. To mathematically model the considered plate and elastic foundation, the first-order shear deformation plate theory, and the Winkler-Pasternak model are used, respectively. Three types of graphene nanoplatelet distribution and porous dispersion patterns through the thickness direction are considered for the nanocomposite plate. The effective material properties are obtained via a micromechanical model. By writing the energy functional of the system and using the analytical P-Ritz method, the influences of porosity coefficient, the weight fraction of graphene nanoplatelets, elastic foundation coefficients, and also the length-to-width and thickness ratios on the critical buckling loads are analyzed. It is illustrated that the plate with the non-uniform porosity distribution pattern of the first type and first type of graphene nanoplatelets due to the greater concentration of graphene nanoplatelets on the upper and lower surfaces of the plate and the increase in the stiffness of the plate, it has higher critical buckling load. Also, the maximum critical buckling load is related to shear loading and the minimum critical buckling load is related to biaxial buckling load. Also, by increasing the porosity coefficient, the critical buckling loads of the plate associated with all patterns of graphene nanoplatelets are reduced.

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References

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Amirkabir Journal of Mechanical Engineering
Volume 54, Issue 4
July 2022
Pages 859-884

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