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

作　　者：Ruirui LIU Haibo WANG Jialing YANG Hua LIU Yuxin SUN 

机构地区：[1]School of Aeronautic Science and Engineering, Beihang University [2]Jiuquan Satellite Launch Center

出　　处：《Applied Mathematics and Mechanics(English Edition)》2015年第8期1005-1016,共12页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.11472035)

摘　　要：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 simula- tions 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 ellip- tical 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.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 simula- tions 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 ellip- tical 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.

关 键 词：elliptical tube strain hardening ovality QUASI-STATIC lateral compression 

分 类 号：O341[理学—固体力学]