 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4810 |
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| Gongye Zhang, Yingjie Hao, Ziwen Guo, and Changwen Mi, "A New Model for Thermal Buckling of FG-MEE Microbeams Based on a Non-Classical Third-Order Shear Deformation Beam Theory," Mech. Solids. 59 (3), 1475-1495 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
3 |
Pages |
1475-1495 |
| DOI |
10.1134/S002565442460315X |
| Title |
A New Model for Thermal Buckling of FG-MEE Microbeams Based on a Non-Classical Third-Order Shear Deformation Beam Theory |
| Author(s) |
Gongye Zhang (Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, School of Civil Engineering, Southeast University, Nanjing, Jiangsu, 210096 China, gyzhang@seu.edu.cn)
Yingjie Hao (Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, School of Civil Engineering, Southeast University, Nanjing, Jiangsu, 210096 China)
Ziwen Guo (Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, School of Civil Engineering, Southeast University, Nanjing, Jiangsu, 210096 China)
Changwen Mi (Jiangsu Key Laboratory of Mechanical Analysis for Infrastructure and Advanced Equipment, School of Civil Engineering, Southeast University, Nanjing, Jiangsu, 210096 China, mi@seu.edu.cn) |
| Abstract |
A novel transversely isotropic functionally graded magneto-electro-elastic third-order
shear deformation microbeam model is constructed by utilizing a variational formulation based on
Hamilton’s principle. This work takes the microstructure effect into account by using an extended
modified couple stress theory. Three types of temperature distributions are considered. Using the
framework and approaches shown above, the equations of motion along with the complete boundary
conditions can be obtained in a reasonable process. For illustration purposes, a numerical example is
presented to examine the influences of temperature distributions, beam thickness and functionally
graded power-law index on thermal buckling. In order to solve the governing equations, a specific set
of Fourier series which satisfy the boundary conditions are introduced. Furthermore, it is indicated
that the shear deformation effect should be considered in predicting the buckling response, especially
for a smaller slenderness ratio. Additionally, two types of simplified versions of this innovative
microbeam model were also created for more straightforward applications. The shape correction factor is involved in establishing the corresponding first-order shear deformation model (Timoshenko
microbeam model) for the sake of approximating the overall effect of nonhomogeneous shear stress.
This article can offer guidelines for the safe design of micro- and nano-electromechanical systems
devices. |
| Keywords |
functionally graded beam, magneto-electro-elastic material, microstructure effect, thermal buckling |
| Received |
17 March 2024 | Revised |
05 June 2024 | Accepted |
06 June 2024 |
| Link to Fulltext |
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