| 疲劳短裂纹扩展中的混沌现象 |
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| 引用本文： | 刘长虹,陈虬,丁宇,翁金堂.疲劳短裂纹扩展中的混沌现象[J].大型铸锻件,2001(3):10-11,14. |
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| 作者姓名： | 刘长虹 陈虬 丁宇 翁金堂 |
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| 作者单位： | 1. 西南交通大学应用力学与工程系,
2. 中国二重集团公司大型铸锻件研究所, |
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| 基金项目： | 国家自然科学基金资助项目 ( 195 72 0 5 1) |
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| 摘 要： | 在低周疲劳的短裂纹扩展中 ,利用非线性动力学理论 ,分析 Hobson的短裂纹扩展公式 1 ] ,发现在一定条件下会出现分岔、混沌现象。计算机模拟试验显示 ,在混沌区域内 ,即使初始裂纹尺寸相差很小 ,在经过若干次的应力循环后 ,两者之间会相差很大。如果假设裂纹是以单裂纹穿晶形式扩展 ,发现参数在许多取值区间会发生分岔、混沌现象。由此可知 ,短裂纹扩展的分岔和混沌 ,是导致疲劳试验结果分散性大的原因之一。
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| 关 键 词： | 疲劳裂纹 疲劳试验 裂纹扩展 |
The Chaotic Behaviors in the Development of Fatigue Short Crack |
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| Liu Changhong,Chen Qiu,Ding Yu,Wong Jintang.The Chaotic Behaviors in the Development of Fatigue Short Crack[J].Heavy Casting and Forging,2001(3):10-11,14. |
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| Authors: | Liu Changhong Chen Qiu Ding Yu Wong Jintang |
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| Affiliation: | Liu Changhong Chen Qiu Ding Yu Wong Jintang |
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| Abstract: | According to the equation of a crack growth for short cracks ,with the nonlinear dynamics,the bifurcation and chaotic phenomena can be occurred in the low cycle fatigue short crack growth.When a computer simulates an experiment,it is showed that the last results are much different from each other even if the error between initial crack sizes is very small.Furthermore,if supposed a crack is to cross grain boundary,there are many areas of bifurcation and chaotic phenomena to be found.As a consequence,the bifurcation and chaotic phenomena in fatigue short crack growth is one of reasons of high dispersion in the experiment of fatigue short cracks. |
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| Keywords: | Fatigue Crack Fatigue Experiment Crack Development |
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