| 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 |
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| 引用本文： | 董聪 何庆芝. 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[J]. 力学进展, 1994, 24(1): 106-116. DOI: 10.6052/1000-0992-1994-1-J1994-009 |
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| 作者姓名： | 董聪 何庆芝 |
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| 作者单位： | 清华大学 |
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| 基金项目： | 国家自然科学基金，国家教委博士点专项基金 |
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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．
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| 关 键 词： | 疲劳断口 分维 微裂纹 分岔 混沌 损伤 内变量 |
DESCRIPTION AND DISCUSSION ON BIFURCATION AND CHAOS IN EVOIUTION OF MICROCRACK |
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| Dong Cong,He Qing-Zhi Beijing University of Aeronauties and Astronautics. DESCRIPTION AND DISCUSSION ON BIFURCATION AND CHAOS IN EVOIUTION OF MICROCRACK[J]. Advances in Mechanics, 1994, 24(1): 106-116. DOI: 10.6052/1000-0992-1994-1-J1994-009 |
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| Authors: | Dong Cong He Qing-Zhi Beijing University of Aeronauties Astronautics |
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| Affiliation: | Dong Cong;He Qing-Zhi Beijing University of Aeronauties and Astronautics |
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| 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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| Keywords: | fatigue fracture surface fractal microcrack bifurcation chaos damage internal variable |
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