Journal of Computational Methods in Engineering

Journal of Computational Methods in Engineering

Buckling Analysis of Graphene Platelet-Reinforced Functionally Graded Nanoplates Resting on Elastic Foundation Using a Meshfree Formulation Based on Nonlocal Strain-Gradient Theory

Document Type : Original Article

Authors
Sajjad Tohidi 1
Farzad Shahabian 2
Mohammad Hossein Ghadiri Rad 3
1 Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran
2 Department of Civil Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran.
3 Department of Civil Engineering, Faculty of Engineering of Science, Quchan University of Technology, Quchan, Iran
10.47176/jcme.45.1.1070
Abstract
In this research, a novel size-dependent meshfree method is proposed within the framework of the nonlocal strain-gradient theory in order to evaluate the buckling behavior of functionally graded metal–semiconductor nanoplates reinforced with graphene nanoplatelets. The nanoplates with elastically restrained edges are rested on a Winkler–Pasternak elastic foundation. The presented model simultaneously accounts for the effects of nonlocal stiffness and strain gradient, thereby covering the intrinsic softening and stiffening mechanisms at the nanoscale. The governing equations are derived using the principle of minimum total potential energy, and are discretized using the moving Kriging meshfree method. This method effectively resolves the higher-order derivatives appearing in the nonlocal strain-gradient theory. The mechanical properties corresponding to each layer of the plate through the thickness, reinforced by graphene nanoplatelets, are determined using the modified Halpin–Tsai micromechanical model together with the rule of mixtures. Comparison of the results obtained from the proposed method with available analytical and numerical approaches confirms the accuracy and computational efficiency of the proposed method. Furthermore, a parameter-based investigation is carried out to clarify the effects of material gradation, graphene weight fraction, nonlocal and strain-gradient parameters, circular cutout size, the stiffness of the elastic foundation and stiffnesses of the elastically restrained edges on the buckling responses of the functionally graded graphene-reinforced nanoplates.
Keywords
Moving Kriging meshfree method, Nonlocal strain-gradient theory, Functionally graded metal&ndash
semiconductor nanoplates reinforced with graphene nanoplatelets, Buckling analysis
Subjects
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