Static buckling and vibration analysis of continuously graded ceramic-metal beams using a refined higher order shear deformation theory
Multidiscipline Modeling in Materials and Structures
ISSN: 1573-6105
Article publication date: 14 August 2019
Issue publication date: 21 October 2019
Abstract
Purpose
The purpose of this paper is to study the static buckling and free vibration of continuously graded ceramic-metal beams by employing a refined higher-order shear deformation, which is also the primary goal of this paper.
Design/methodology/approach
The proposed model is able to catch both the microstructural and shear deformation impacts without employing any shear correction factors, due to the realistic distribution of transverse shear stresses. The material properties are supposed to vary across the thickness direction in a graded form and are estimated by a power-law model. The equations of motion and related boundary conditions are extracted using Hamilton’s principle and then resolved by analytical solutions for calculating the critical buckling loads and natural frequencies.
Findings
The obtained results are checked and compared with those of other theories that exist in the literature. At last, a parametric study is provided to exhibit the influence of different parameters such as the power-law index, beam geometrical parameters, modulus ratio and axial load on the dynamic and buckling characteristics of FG beams.
Originality/value
Searching in the literature and to the best of the authors’ knowledge, there are limited works that consider the coupled effect between the vibration and the axial load of FG beams based on new four-variable refined beam theory. In comparison with a beam model, the number of unknown variables resulting is only four in the general cases, as against five in the case of other shear deformation theories. The actual model represents a real distribution of transverse shear effects besides a parabolic arrangement of the transverse shear strains over the thickness of the beam, so it is needless to use of any shear correction factors.
Keywords
Acknowledgements
The authors would like to thank the referees for their valuable comments and suggestions to improve the paper.
Citation
Bekhadda, A., Bensaid, I., Cheikh, A. and Kerboua, B. (2019), "Static buckling and vibration analysis of continuously graded ceramic-metal beams using a refined higher order shear deformation theory", Multidiscipline Modeling in Materials and Structures, Vol. 15 No. 6, pp. 1152-1169. https://doi.org/10.1108/MMMS-03-2019-0057
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited