CAJ | 학술논문

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.
구별우전통적비선성동역학적흡인자결구분석,본문채용다중분형분석적연구방법토론불동가재응변솔조건하Al-Cu합금Portevin-Le Chatelier효응적다중분형특정,이게시공제불동대형적내재동력궤제.결과표명불관시나충대형,도재일정척도상존재착다중분형결구;동시발현B대적응력신호적균균성고우A、C대,저반영료수착가재응변솔적강저,동력계통유자조직림계성경의주기상태과도도혼돈상태.
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.