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。
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.
出处
《实验力学》
CSCD
北大核心
2010年第1期22-29,共8页
Journal of Experimental Mechanics
基金
国家自然科学基金(批准号:10732080,10872189)