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Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory

1
Department of Civil and Construction Engineering, Western Michigan University, Kalamazoo, MI 49008, USA
2
Department of Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, MI 49008, USA
*
Author to whom correspondence should be addressed.
J. Compos. Sci. 2019, 3(1), 15; https://doi.org/10.3390/jcs3010015
Received: 15 January 2019 / Revised: 27 January 2019 / Accepted: 28 January 2019 / Published: 1 February 2019
(This article belongs to the Special Issue Mechanics of Innovative Materials in Engineering Applications)
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Abstract

Static bending, free vibration and buckling of functionally graded porous micro-plates are investigated using a general third order plate theory. In addition, analytical solutions are obtained using the Navier method. The effect of the material length scale factor and the variation of material property through the thickness direction of plates are considered as well as porosity effects. Three different porosity distributions are considered and the effects of porosity variations are examined in the framework of a general third order plate theory. Numerical results show that the effect of each distribution of porosity is distinguished due to coupling between the heterogeneity of the material properties and the variation of porosity. View Full-Text
Keywords: third-order shear deformation plate theory; functionally graded porous materials; modified couple stress theory; analytical solution third-order shear deformation plate theory; functionally graded porous materials; modified couple stress theory; analytical solution
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MDPI and ACS Style

Coskun, S.; Kim, J.; Toutanji, H. Bending, Free Vibration, and Buckling Analysis of Functionally Graded Porous Micro-Plates Using a General Third-Order Plate Theory. J. Compos. Sci. 2019, 3, 15.

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