Ti-15-3合金热变形固溶显微组织的多重分形研究  

Multi-fractal Studies on Microstructure of Ti-15-3 Alloy after Hot Deformation and Solution Treatment

作　　者：李萍[1] 薛克敏[1] 

机构地区：[1]合肥工业大学,安徽合肥230009

出　　处：《稀有金属材料与工程》2009年第A01期501-504,共4页Rare Metal Materials and Engineering

基　　金：国家自然科学基金资助项目(50405020)

摘　　要：以Ti-15-3(Ti-15V-3Cr-3Sn-3Al)合金热变形固溶再结晶显微组织的金相照片作为研究对象,基于Matlab软件平台,自行开发了图像处理及多重分形分析程序,实现了从材料组织结构形貌图像上提取其相应的概率测度和标度指数的功能,并计算了多重分形谱。结果表明,在当前的观测尺度范围内,Ti-15-3合金热变形固溶再结晶显微组织具有多重分形特征。且随着再结晶晶粒尺寸的增大和形变晶粒尺寸的减小,多重分形谱宽Δα减小,表明显微组织分布越均匀。另外,在再结晶晶粒尺寸相差不大时,随着再结晶百分数的增大,最大最小概率子集维数的差值Δf增加,再结晶晶粒为主导分布,显微组织更为细化均匀。这些研究为材料组织结构的定量表征提供了新的思路。On the basis of Matlab software, image treatment and multi-fractal analysis program has been developed. Systematic fractal analysis of micrographs of Ti-15-3 （Ti-15V-3Cr-3Sn-3Al） alloy after hot compression deformation and solution treatment has been conducted. Corresponding probability measure and scale exponent from the material microstructure can be acquired and the multi-fractal spectrum can be calculated. The results show that the microstructure of Ti-15-3 alloy after hot deformation and solution treatment has the characteristic of multi-fractal within the computing scale. And with the increase of recrystallized grain size and the decrease of deformed grain size, the width of the multi-fractal spectrum △α decreases and homogeneous distribution of the microstructure increases. Furthermore, with the increase of recrystallization percent, the D-value △f between maximum and minimum subset dimension increases. It indicates that the recrystallized grains are the dominant factors in determining the size distribution in the microstructure and the grains are fine and uniform. These studies supply a new method for quantitatively analyzing material microstructure.

关 键 词：热变形 显微组织 多重分形 TI-15-3合金 固溶 

分 类 号：TG146.23[一般工业技术—材料科学与工程]