微裂纹演化过程中分岔与混沌现象的描述及若干问题探讨
doi: 10.6052/1000-0992-1994-1-J1994-009 cstr: 32046.14.1000-0992-1994-1-J1994-009
DESCRIPTION AND DISCUSSION ON BIFURCATION AND CHAOS IN EVOIUTION OF MICROCRACK
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摘要: 本文分析了目前常用的两种疲劳断口分维测量方法存在的一些共同性问题，研究了等幅疲劳载荷谱作用下有效生长区微裂纹密度演化中的分岔与混沌现象，建立了描述这一现象的数学模型，探讨了这一现象的出现对合理地定义损伤内变量及确定其累积法则等的影响．Abstract: The following aspects are studied in the present paper:①Conven-tional methods and their some disadvantages on the fractal dimension measure of fracture surfaces②A type of bifurcation and chaos, which is found to exist in the evolution of microcrack density in active growth areas when constant ampli-tude loading spectrum is applied,and a mathematical model for describing this phenomenon. ③The reasonable definition and cumulative rule.of fatigue damage as an indirect result of bifurcation and chaos.
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Key words:
- fatigue fracture surface /
- fractal /
- microcrack /
- bifurcation /
- chaos /
- damage /
- internal variable
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