InCu熔体结构的多度域分形分析  

Multirange fractal analysis of structure of InCu melt

作　　者：周永志[1] 程素娟[2] 李梅[1] 耿浩然[1] 

机构地区：[1]济南大学材料科学与工程学院,济南250022 [2]东营职业学院工业工程系,东营257091

出　　处：《中国科学：物理学、力学、天文学》2011年第8期948-954,共7页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(批准号:50371047;50871047);山东省自然科学基金(编号:ZR2010EM071)资助项目

摘　　要：基于高温X射线衍射实验,利用多域分理论研究了InCu熔体内原子簇在不同温下时空特性,表征了InCu金熔体几构特征.果显示,In,In-1wt.%CuIn-20wt.%Cu熔体构是种部分重叠多域分构,InIn-1wt.%Cu低维分维数随着温升高而升高,In-20wt.%Cu熔体低维分维数随着温升高出现不规则变化,且分维数可作为构敏感参数反映金构变化.In-57wt.%Cu熔体构也存在分特性,但不存在多域特性.利用多域分模,计算了In,In-1wt.%CuIn-20wt.%Cu熔体多域分过区域原子个数,由模计算所lnN-lnr曲线与实验所致,lnN-lnr曲线最大误差不超过1.22%,多域分范围熔体构有着对应联系,测多域分过区域与熔体构特性有关.利用超微粒聚制释了熔体分貌.Multirange fractal analysis based on results of high temperature X-ray diffraction experiment is used to study the geometric structure characteristics and temporal-spatial properties of clusters of InCu melt.The results show that partially-overlapping multirange fractal structure is observed in In,In-1wt.%Cu and In-20wt.%Cu melt and low-dimensional fractal dimensions of In and In-1wt.%Cu melt increase as temperature increases,while that of In-20wt.%Cu melt irregularly changes.Fractal dimension can be considered as a structure sensitive parameter to indicate the change of liquid structure.The structure of In-57wt.%Cu melt shows fractal characteristics,but there is no multirange characteristics.The fractal characteristics of metal melt are correlated with the evolution of microstructure according to experimental results.Multirange fractal model is proposed to calculate the number of atoms in transition region of multirange fractals of In,In-1wt.%Cu and In-20wt.%Cu melt.The results show that the values of simulation are in good agreement with experimental values,and the maximum error of lnN-lnr is less than 1.22%.From the analysis,the range of multirange fractals is corresponding to the melt structure and the range of the transition region between two fractal regions is speculated to be related with structure properties of metal melts.Ultrafine particles＇ aggregation mechanism is used to analyze the fractal morphologies of metal melt.

关 键 词：InCu熔体 多域分 X射线衍射 态构 

分 类 号：O434.1[机械工程—光学工程]