Buckling Analysis of Nano-Plates in the Context of Modified Couple Stress Theory Using RKPM

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Alemi, Bita | 2011

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Type of Document: M.Sc. Thesis
Language: English
Document No: 42421 (53)
University: Sharif University of Technology, International Campus, Kish Island
Department: Science and Engineering
Advisor(s): Mohammadi Shoja, Hossein
Abstract:
In this research, a new Kirchhoff plate model based on the modified couple stress theory has been utilized to derive the corresponding closed-form expression for the buckling load. Moreover, a numerical mesh-less method, Reproducing Kernel Particle Method (RKPM), in combination with Corrected Collocation Method (CCM) has been employed to model the nano-plate and calculate its buckling load in the framework of the modified couple stress theory. To this end, two kinds of nano-plates have been modeled, the square nano-plates with all edges simply supported 1) in the presence of the nano-void and 2) without the nano-void. It should be noted that the analytical and numerical solutions for the buckling analysis of the Kirchhoff nano-plate based on the modified couple stress theory have not been provided in the literature. Furthermore, various one- and two-dimensional problems have been solved due to the evaluation of the accuracy of RKPM and CCM; and their results are compared with those obtained from the exact solution
Keywords:
Buckling ; Reproducing Kernel Particle Method (RKPM) ; Couple Stress ; Modified Couple Stress Theory

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