Size-dependent behaviour of functionally graded microbeams using various shear deformation theories based on the modified couple stress theory

Trinh, Luan C., Nguyen, Hoang, Vo, Thuc and Nguyen, Trung-Kien (2016) Size-dependent behaviour of functionally graded microbeams using various shear deformation theories based on the modified couple stress theory. Composite Structures, 154. pp. 556-572. ISSN 0263-8223

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Official URL: http://dx.doi.org/10.1016/j.compstruct.2016.07.033

Abstract

This study investigates the mechanical behaviours of functionally graded (FG) microbeams based on the modified couple stress theory. The material properties of these beams are varied through beam’s depth and calculated by using classical rule of mixture and Mori–Tanaka scheme. The displacement fields are presented by using a unified framework which covers various theories including classical beam theory, first-order beam theory, third-order beam theory, sinusoidal beam theory, and quasi-3D beam theories. The governing equations of bending, vibration and buckling problems are derived using the Hamilton’s principle and then solved by using Navier solutions with simply-supported boundary conditions. A number of numerical examples are conducted to show the validity and accuracy of the proposed approaches. Effects of Poisson’s ratio, material length scale parameter, power-law index, estimation methods of material properties and slenderness ratio on deflections, stresses, natural frequencies and critical buckling loads of FG microbeams are examined.

Item Type: Article
Uncontrolled Keywords: Functionally graded microbeams; Modified couple stress theory; Bending; Buckling; Vibration
Subjects: F200 Materials Science
H200 Civil Engineering
Department: Faculties > Engineering and Environment > Mechanical and Construction Engineering
Depositing User: Ellen Cole
Date Deposited: 22 Aug 2016 11:44
Last Modified: 07 Sep 2017 04:16
URI: http://nrl.northumbria.ac.uk/id/eprint/27591

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