异步轧制Pb-Ca-Sn-Al合金晶界节点分形分析

为了确定晶界节点分形维数是否存在,以低碳钢冷轧薄板标样为研究对象,在MATLAB软件平台上自行开发了晶界分形维数计算程序,采用标准分形图形-koch曲线检验了自开发分形程序的准确性,利用该程序计算了3种标准下(不同晶粒延伸度)不同晶粒度级别的金相图片晶界节点分形维数,并研究了不同工艺条件下Pb-Ca-Sn-Al合金晶界节点的分形维数.结果表明:自开发的分形计算程序准确;晶界节点的分形维数存在;不同工艺条件Pb-Ca-Sn-Al合金晶界节点的分形维数与工艺参数之间存在定量联系.在一定范围内,随着压下率、异速比、退火温度的增加,晶界节点的分形维数随之增加;随退火时间的增加,Pb-Ca-Sn-Al合金晶界节点分形维数先上升后下降;退火张力增加,晶界节点分形维数下降.

The fractional analysis of grain boundary nodes of asymmetrical rolled Pb-Ca-Sn-Al alloy

To confirm the existence of the fractal dimension of grain boundary nodes, a program for calculating the fractal dimension of grain boundary was developed on the platform of MATLAB for cold rolled low carbon steel sheet.The accuracy of this fractal program was tested by using the standard fractal graph-koch curve. The program was utilized to calculate the fractal dimensions of grain boundary under three standards. Fractal dimension of grain boundary nodes in Pb-Ca-Sn-Al alloys under different processing conditions was also investigated. The results show that there exists the fractal dimension of grain boundary nodes. And there is a quantitative relationship between the grain boundary node fractional dimensions of Pb-Ca-Sn-Al alloy and the process condition. The effect of different process parameters on the fractal dimension of Pb-Ca-Sn-Al alloy grain boundary nodes is as follows:within a certain range, the fractal dimension of the grain boundary node was increased with inceasing the reduction ratio, the isokinetic ratio, and the annealing temperature.With the increase of annealing time, the fractal dimension of grain boundary joints of Pb-Ca-Sn-Al alloy increases first and then decreases, while the fractal dimension of grain boundary joints decreases with the increase of annealing tension.