 | | 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: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
|
| In English (Mech. Solids): | | 5184 |
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| Kaixuan Liang, Panxu Sun, Shuxia Wang, and Dongwei Wang, "A Deformation Decomposition Method of Arbitrary Triangular Elements Based on Mathematical and Mechanical Conditions," Mech. Solids. 60 (5), 4205-4218 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4205-4218 |
| DOI |
10.1134/S0025654425603258 |
| Title |
A Deformation Decomposition Method of Arbitrary Triangular Elements Based on Mathematical and Mechanical Conditions |
| Author(s) |
Kaixuan Liang (School of Civil Engineering, Zhengzhou University, Zhengzhou, 450001 China)
Panxu Sun (School of Civil Engineering, Zhengzhou University, Zhengzhou, 450001 China, panxusun@zzu.edu.cn)
Shuxia Wang (School of Materials Science and Engineering, Zhengzhou University of Aeronautics, Zhengzhou, 450046 China)
Dongwei Wang (School of Civil Engineering, Zhengzhou University, Zhengzhou, 450001 China) |
| Abstract |
Compared with the complete components, the stress and deformation of the components
with holes (especially irregular holes) are more complex, which brings difficulties to the relevant analysis and design. In order to meet the quantitative analysis requirements of the basic deformation performance of open-hole components in engineering, this paper proposes a deformation decomposition
method suitable for planar and spatial arbitrary triangular elements based on POD theory. This
method satisfies the orthogonality of mathematics and the balance of mechanics, and can decompose
the comprehensive deformation of triangular elements into macroscopic basic deformations such as
tension, compression and shear. The quantitative information of each basic deformation can be
obtained by performing deformation decomposition on the open-hole components discretized by
arbitrary triangular elements. According to the decomposition results, the deformation decomposition
diagram and cloud diagram are drawn, which can realize the quantitative and visual analysis of the
macroscopic basic deformation performance, and then provide theoretical support for the preliminary
design of the open-hole components. Finally, this paper uses the deformation decomposition method
and the finite element strain analysis method to carry out a comparative analysis of the simply supported beam and the four-sided consolidation plate with a hole, and the comparison results prove the
correctness and effectiveness of the deformation decomposition method. |
| Keywords |
deformation decomposition, basic deformation, planar and spatial arbitrary triangular element, open-hole component, quantitative and visual analysis |
| Received |
18 June 2025 | Revised |
30 July 2025 | Accepted |
30 July 2025 |
| Link to Fulltext |
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