 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 3 / 2023 | Next article >> |
| Bo Zhou, Chao Zhang, and Fei Zhao, "A Finite Element-Meshless Hybrid Method (FEMLHM) of Elasticity Problem and Its Applications," Mech. Solids. 58 (3), 852-871 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
3 |
Pages |
852-871 |
| DOI |
10.3103/S0025654422601719 |
| Title |
A Finite Element-Meshless Hybrid Method (FEMLHM) of Elasticity Problem and Its Applications |
| Author(s) |
Bo Zhou (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao 266580, China, zhoubo@upc.edu.cn)
Chao Zhang (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao 266580, China)
Fei Zhao (College of Pipeline and Civil Engineering, China University of Petroleum (East China), Qingdao 266580, China) |
| Abstract |
In this paper, a finite element-meshless hybrid method (FEMLHM) is proposed to numerically simulate the elasticity problems. In the proposed FEMLHM, the nodal displacement components of a discrete structure are determined by the finite element method (FEM). The approximation formulations of displacement field, strain field and stress field are all developed using the radial basis point interpolation method (RPIM), which is one of the meshless approximation methods. Especially, a compactly supported and higher-order continuous radial basis function is used in the RPIM to ensure that all fields of displacement, stress and strain are continuous in the whole problem domain. Therefore, the proposed FEMLHM overcomes the limitation that both fields of stress and strain are not continuous in the FEM. In addition, the nodal displacements are calculated by FEM, which makes the proposed FEMLHM has higher computational efficiency than a meshless method. The displacement field and stress field of a cantilever beam problem are first numerically simulated to verify the proposed FEMLHM. Then it is used to numerically simulate the stress fields of a circular ring under uniform pressures. The simulation results are compared with both FEM and analytical solution to illustrate that the proposed FEMLHM can numerically simulate an elasticity problem more effectively and accurately than FEM. The proposed FEMLHM is easy to use, and has an application potential in a lot of engineering and science fields. |
| Keywords |
finite element method, meshless method, radial basis point interpolation method, finite element-meshless hybrid method |
| Received |
29 November 2022 | Revised |
22 February 2023 | Accepted |
26 February 2023 |
| Link to Fulltext |
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