Smoothed Finite Element Analysis of Contact and Large Deformation Problems

FAN Yajie; LI Yan; LI Zhongpan; CHEN Huijian; FENG Zhiqiang

doi:10.21656/1000-0887.440251

Volume 45 Issue 2

Feb. 2024

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Article Navigation > Applied Mathematics and Mechanics > 2024 > 45(2): 127-143

FAN Yajie, LI Yan, LI Zhongpan, CHEN Huijian, FENG Zhiqiang. Smoothed Finite Element Analysis of Contact and Large Deformation Problems[J]. Applied Mathematics and Mechanics, 2024, 45(2): 127-143. doi: 10.21656/1000-0887.440251

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Smoothed Finite Element Analysis of Contact and Large Deformation Problems

doi: 10.21656/1000-0887.440251

School of Mechanics and Aerospace Engineering, Southwest Jiaotong University, Chengdu 610031, P.R.China

Received Date: 2023-08-17
Rev Recd Date: 2023-11-29
Publish Date: 2024-02-01

Abstract

Abstract

Rubber material is widely used in practical engineering due to its good seismic and energy absorption effect. However, the collision of hyperelastic materials is a strong nonlinear problem. It is of great significance to analyze the contact collision and large deformation of hyperelastic materials to improve the buffering performance of the device. The smoothed finite element method (S-FEM) is a weak form of numerical calculation method. Compared with the traditional finite element method, the smoothed finite element method has low requirements on the mesh quality, allows the element to undergo large deformation during the calculation process, where the construction of the smooth domain is more flexible. The S-FEM has high accuracy without additional degrees of freedom. Based on the S-FEM, the double potential method was applied to contact calculation, with both advantages of the S-FEM in calculating large deformation problems and advantages of the double potential method in solving contact force fully used. In comparison with the numerical results of finite element software MSC. Marc, the results of the proposed algorithm were verified with high accuracy and good energy conservation, and the effects of the friction coefficient on the collision body were analyzed.
- contact,
- large deformation,
- hyperelastic material,
- smoothed finite element method,
- bi-potential theory

(Contributed by FENG Zhiqiang, M. AMM Editorial Board)

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References(29)

References

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