Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (2): 146-149.

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CATASTROPHE FRACTURE OF THIN-WALL PRESSURE TUBES

WEI De-min1, YANG Gui-tong2   

  1. 1. Department of Civil Engineering, South China University of Technology, Guangzhou 510640, P R China;
    2. Applied Mechanical Institute, Taiyuan University of Technology, Taiyuan 030024, P R China
  • Received:2001-01-03 Revised:2001-09-11 Online:2002-02-18 Published:2002-02-18

Abstract: 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.

2010 MSC Number: 

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