薄壁压力管道的突然破裂

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Carastrophe Fracture of Thin-Wall Pressure Tubes

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

摘要: 用数学的突变理论研究薄壁圆形管道在内部爆炸力作用下的脆性破裂问题。在弹性能量准则基础上,建立了管道壳体破裂的尖点突变模型,给出了相应的破裂临界条件。
- 压力管道 /
- 脆性断裂 /
- 尖点突变 /
- 分叉点集
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.
- pressure tube /
- brittle fracture /
- cusp catastrophe /
- bifurcation set

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