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.
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.