 | | 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: | | 13427 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5249 |
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| << Previous article | Volume 60, Issue 6 / 2025 | Next article >> |
| Khuat Duc Duong and Nguyen Tuan Linh, "Analytical Method for Calculating the Extreme Value of Static Bending Deflection of Two-Curvature Microshells," Mech. Solids. 60 (6), 4764-4785 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
6 |
Pages |
4764-4785 |
| DOI |
10.1134/S0025654425602824 |
| Title |
Analytical Method for Calculating the Extreme Value of Static Bending Deflection of Two-Curvature Microshells |
| Author(s) |
Khuat Duc Duong (School of Mechanical and Automotive Engineering, Hanoi University of Industry, Tay Tuu Ward, Hanoi, Vietnam, duongkd@haui.edu.vn)
Nguyen Tuan Linh (School of Mechanical and Automotive Engineering, Hanoi University of Industry, Tay Tuu Ward, Hanoi, Vietnam) |
| Abstract |
This study, utilizing analytical methods, presents for the first time the static bending
response of a two-curvature micro shell composed of three material layers: two outer layers made of
ceramic and micro-porous metal, and a middle layer featuring an auxetic structure. The stiffness of
the shell can achieve its maximum when optimal geometric parameters of the auxetic core are identified. Calculation formulas are derived from classical shell theory and coupled stress theory to ascertain
the impact of size effect on the static bending response of micro shells. The length scale parameter
determined in this study varies with thickness. Furthermore, this research presents an explicit expression for the displacement of the micro shell under bending and demonstrates the reliability of the analytical formula by comparing it with previously published results. This study demonstrates the dependence of micro shell displacement on various geometrical and material parameters of the shell and
each individual material layer. This is a compilation of reference data for designers to select suitable
parameters to maximize the bending load capacity of the micro shell, hence minimizing the bending
displacement of the micro shell. |
| Keywords |
static bending, two-curvature microshells, couple stress, analytical approach |
| Received |
30 May 2025 | Revised |
27 July 2025 | Accepted |
09 August 2025 |
| Link to Fulltext |
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