Formulation for Analyzing of the Functionally Graded Kirchhoff Plate Based on the Modified Couple Stress Theory

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استخراج فرمولاسیون برای تحلیل حرکت دینامیکی ورق کیرشهف ساخته شده از مواد تابعی بر اساس تئوری تنش کوپلی اصلاح شده

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 43731 (08)
University: Sharif University of Technology
Department: Mechanical Engineering
Advisor(s): Asghari, Mohsen
Abstract:
In this project, a size-dependent formulation is presented for mechanical analyses of inhomogeneous micro-plates based on the modified couple stress theory. The modified couple stress theory as a non-classical continuum theory has the ability to consider the small size effects in the mechanical behavior of the structures.The material properties are supposed arbitrarily to vary through the thickness of the plate. The governing differential equations of motion are derived for functionally graded plates utilizing variational approach. Based on the derived formulation, the static and free-vibration behaviors as well as buckling analysis of a rectangular functionally graded micro-plate are investigated. The numerical results show that size-depended model of plates on the basis of the modified couple stress theory predicts higher values for natural frequencies and buckling critical load than does the classical plate model. Also, the results indicate that differences are significant for plates with small thicknesses
Keywords:
Microplate ; Modified Couple Stress Theory ; Functionally Graded Materials (FGM) ; Continuum Mechanics ; Microelectromechanical Systems (MEMS)

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