| 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 |
| Al-Cu合金Portevin-Le Chatelier效应的多重分形分析 |
| A Multifractal Analysis of Portevin-Le Chatelier Effect in Al-Cu Alloy |
| 投稿时间：2009-05-07 修订日期：2009-07-03 |
| DOI： |
| 中文关键词: Portevin-Le Chatelier效应 多重分形分析 动力系统 |
| 英文关键词:Portevin-Le Chatelier effect multifractal analysis dynamical system |
| 基金项目:国家自然科学基金（批准号：10732080，10872189） |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. This reflectsa fact that the crossover from self-organization to quasi-periodicity and finally to chaos for the dynamical system when strain rate decreases. |
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