摘要
本文将数学突变理论应用于分析裂纹扩展的稳定性，建立了深裂纹弯曲试件裂纹扩展的尖点突变模型，给出了裂纹扩展失稳的新判据，从几何角度宏观描述了裂纹扩展的复杂过程。
In this paper,an attempt at the application of catastrophe theory to the stability of crack growth for three-point specimens is presented. A cusp catas-trophic model of the crack growth is obtained and a new criterion of losing stability is given.
