 | | 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
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| In English (Mech. Solids): | | 5184 |
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| Fei Guo, Enze Zhen, Anhui Wang, and Lixiang Wang, "Research on Discrete Element Method for Geometric Nonlinear Problems in Continuum Medium Plate and Shell Structures," Mech. Solids. 60 (5), 4123-4148 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
4123-4148 |
| DOI |
10.1134/S0025654425602848 |
| Title |
Research on Discrete Element Method for Geometric Nonlinear Problems in Continuum Medium Plate and Shell Structures |
| Author(s) |
Fei Guo (School of Architecture and Civil Engineering, HuangShan University, Huangshan, 245041 China, gflykey@hsu.edu.cn)
Enze Zhen (School of Architecture and Civil Engineering, HuangShan University, Huangshan, 245041 China)
Anhui Wang (School of Architecture and Civil Engineering, HuangShan University, Huangshan, 245041 China)
Lixiang Wang (School of Architecture and Civil Engineering, HuangShan University, Huangshan, 245041 China) |
| Abstract |
The Discrete Element Method (DEM) is a numerical technique proposed for solving
mechanics problems of non-continuous media. However, applications of DEM in continuous media
structures are relatively limited. In this manuscript, a modification of the torsional spring stiffness
coefficient of the simply supported boundary contact element is proposed based on our previous work.
Then, the plate DEM based on modifying the torsional spring stiffness coefficient is adopted to solve
the load-bearing problems of cylindrical shells. This study aims to investigate the validity of using the
plate DEM based on modification of the torsional spring stiffness coefficient for nonlinear large deformation analysis of shell-type structures. Compared to traditional methods, continuity of displacement
and deformation coordination are not required for the plate DEM, and there is no need to assemble a
stiffness matrix, so matrix non-convergence problems are evitable. To evaluate accuracy of the developed plate DEM, several popular benchmark problems of geometric nonlinearity for shells are solved
by adopting the plate DEM. The results demonstrate that the proposed numerical method can obtain
highly accurate solutions in the nonlinear large deformation numerical calculations of shells, which
further confirms the feasibility of the plate discrete element method in solving the geometric nonlinear
problems of plate and shell structures. |
| Keywords |
Continuous media structures, Discrete element method, Shell structures, Large deformation analysis, Displacement response |
| Received |
02 June 2025 | Revised |
18 July 2025 | Accepted |
18 July 2025 |
| Link to Fulltext |
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