Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 146-149.
魏德敏1, 杨桂通2
收稿日期:2001-01-03
修回日期:2001-09-11
出版日期:2002-02-18
发布日期:2002-02-18
WEI De-min1, YANG Gui-tong2
Received:2001-01-03
Revised:2001-09-11
Online:2002-02-18
Published:2002-02-18
摘要: Catastrophe theory was used to investigate the fracture behavior of thin-wall cylindrical tubes subjected to internal explosive pressure. Based on the energy theory and catastrophe theory, a cusp catastrophe model for the fracture was established, and a critical condition associated with the model is given.
中图分类号:
魏德敏;杨桂通. CATASTROPHE FRACTURE OF THIN-WALL PRESSURE TUBES[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 146-149.
WEI De-min;YANG Gui-tong. CATASTROPHE FRACTURE OF THIN-WALL PRESSURE TUBES[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 146-149.
| [1] MA Xiao-qing.Impact Dynamics[M].Beijing:Beijing University of Technolgy Press,1992,283-294.(in Chinese). [2] Hoggatt C R,Recht R F.Fracture behavior of tubular bombs[J].J Appl Phys,1968,39(4):1856-1862. [3] WEI De-min,FAN Xue-jun.A catastrophe analysis on the stability of the crack growth in three-point bending specimens[J].Acta Mechanica Solida Sinica,1996,9(2):179-183. [4] WEI De-min,ZHANG Shan-yuan,YANG Gui-tong.Resonance buckling of elastic circular plates[A].In:Proc 3rd Inter Conf Nonlinear Mechanics[C].Shanghai:Shanghai University Press,1998,387-390. |
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