 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
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| Wenbin Li and Liansheng Ma, "Size-Dependent Buckling and Free Vibration of Functionally Graded Graphene Origami-Enabled Auxetic Metamaterial Microbeams in a Thermal Environment Based on Modified Strain Gradient Theory," Mech. Solids. 60 (4), 3221-3243 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
3221-3243 |
| DOI |
10.1134/S0025654425601661 |
| Title |
Size-Dependent Buckling and Free Vibration of Functionally Graded Graphene Origami-Enabled Auxetic Metamaterial Microbeams in a Thermal Environment Based on Modified Strain Gradient Theory |
| Author(s) |
Wenbin Li (School of Architecture Engineering, Weifang University of Science and Technology, Weifang, China, 222080104016@lut.edu.cn)
Liansheng Ma (School of Architecture Engineering, Weifang University of Science and Technology, Weifang, China, lsma@lut.edu.cn) |
| Abstract |
With the structure size entering the micron/nanometer scale, the mechanical properties of
materials show a significant size-dependent effect. Functionally graded graphene origami expanded
metamaterials (FG-GOEAM) have become a focal point of interest because of their outstanding
mechanical performance. Although the mechanical behavior of FG-GOEAM in beams, plates, and
shell structures has been extensively studied, the research for FG-GOEAM microbeams within the
framework of the modified strain gradient theory is still insufficient, especially in terms of the thermal
environmental effects. To fill this research gap, this paper combines the modified strain gradient theory with the refined beam theory for the first time to investigate the buckling and free vibration characteristics of FG-GOEAM microbeams. Describing thermal loads in terms of thermal strain energy,
and the material parameters are simulated using a micromechanical model assisted by genetic programming (GP). The governing equations are based on the Lagrange equations and solved by the Chebyshev–Ritz method. The effects of size effect parameters, temperature, graphene distribution mode,
folding mode, weight fraction, folding degree, length-to-fineness ratio, and boundary conditions on
the mechanical properties of the microbeams are comprehensively investigated. The results show that
the reasonable design of the FG-GOEAM distribution pattern and optimization of reinforcement material content can significantly enhance the microbeam performance. The proposed method also
provides an effective solution for analyzing the buckling and vibration behaviors of microbeams with advanced materials. |
| Keywords |
Graphene origami, Modified strain gradient theory, Thermal loading, Buckling, Free vibration, Chebyshev-Ritz method |
| Received |
09 April 2025 | Revised |
08 June 2025 | Accepted |
10 June 2025 |
| Link to Fulltext |
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