Theoretical analysis on quasi-static lateral compression of elliptical tube between two rigid plates

doi:10.1007/s10483-015-1962-7

Applied Mathematics and Mechanics (English Edition) ›› 2015, Vol. 36 ›› Issue (8): 1005-1016.doi: https://doi.org/10.1007/s10483-015-1962-7

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Theoretical analysis on quasi-static lateral compression of elliptical tube between two rigid plates

Ruirui LIU^1,2, Haibo WANG¹, Jialing YANG¹, Hua LIU¹, Yuxin SUN¹

1. School of Aeronautic Science and Engineering, Beihang University, Beijing 100191, China;
2. Jiuquan Satellite Launch Center, Jiuquan 732750, Gansu Province, China

Received:2014-09-05 Revised:2015-05-13 Online:2015-08-01 Published:2015-08-01
Contact: Hua LIU E-mail:liuhuarui@buaa.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (No. 11472035)

Abstract

Abstract: Based on the rigid plastic theory, the load-deflection functions with and without considering the effect of strain hardening are respectively derived for an elliptical tube under quasi-static compression by two parallel rigid plates. The non-dimensional load-deflection responses predicted by the present theory and the finite element simulations are compared, and the favorable agreement is found. The results show that strain hardening may have a noticeable influence on the load-deflection curves of an elliptical tube under quasi-static compression. Compared with the circular counterpart, the elliptical tube exhibits different energy absorption behavior due to the difference between the major axis and the minor axis. When loaded along the major axis of a slightly oval tube, a relative even and long plateau region of the load-deflection curve is achieved, which is especially desirable for the design of energy absorbers.

Key words: elliptical tube, quasi-static, strain hardening, ovality, lateral compression

2010 MSC Number:

Ruirui LIU, Haibo WANG, Jialing YANG, Hua LIU, Yuxin SUN. Theoretical analysis on quasi-static lateral compression of elliptical tube between two rigid plates. Applied Mathematics and Mechanics (English Edition), 2015, 36(8): 1005-1016.

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References

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Theoretical analysis on quasi-static lateral compression of elliptical tube between two rigid plates

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