| Al-Cu合金Portevin-Le Chatelier效应的多重分形分析 |
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| 引用本文： | 高云,张青川,胡琦,曹鹏涛. Al-Cu合金Portevin-Le Chatelier效应的多重分形分析[J]. 实验力学, 2010, 25(1): 22-29 |
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| 作者姓名： | 高云 张青川 胡琦 曹鹏涛 |
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| 作者单位： | 中科院材料力学行为和设计重点实验室,中国科学技术大学,合肥,230027 |
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| 摘 要： | 区别于传统的非线性动力学的吸引子结构分析,本文采用多重分形分析的研究方法讨论不同加载应变率条件下Al-Cu合金Portevin-Le Chatelier效应的多重分形特征,以揭示控制不同带型的内在动力机制。结果表明不管是哪种带型,都在一定尺度上存在着多重分形结构;同时发现B带的应力信号的均匀性高于A、C带,这反映了随着加载应变率的降低,动力系统由自组织临界性经拟周期状态过渡到混沌状态。
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| 关 键 词： | Portevin-Le Chatelier效应 多重分形分析 动力系统 |
| 收稿时间： | 2009-05-07 |
| 修稿时间： | 2009-07-03 |
A Multifractal Analysis of Portevin-Le Chatelier Effect in Al-Cu Alloy |
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| GAO Yun,ZHANG Qing-chuan,HU Qi and CAO Peng-Tao. A Multifractal Analysis of Portevin-Le Chatelier Effect in Al-Cu Alloy[J]. Journal of Experimental Mechanics, 2010, 25(1): 22-29 |
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| Authors: | GAO Yun ZHANG Qing-chuan HU Qi CAO Peng-Tao |
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| Affiliation: | GAO Yun,ZHANG Qing-chuan,HU Qi,CAO Peng-Tao(CAS Key Laboratory of Mechanical Behavior , Design of Materials,University of Science , Technology of China,Hefei 230027,China) |
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| Abstract: | Different from the structural analysis of strange attractor via traditional nonlinear dynamics,this paper usesa methodology of multifractal analysis to study multifractal behavior of Portevin-Le Chatelier effect in Al-Cu alloy with three different strain rates,in order to investigate the inner dynamical mechanism of different localized bands.Results show thatwhatever the band type is,there exists a multifractal structure on certain scales,and the homogeneity of stress signal is the highest for type B band.T... |
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| Keywords: | Portevin-Le Chatelier effect multifractal analysis dynamical system |
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