摘要
根据分形几何学理论,分析热变形Ti-15-3合金固溶处理后的再结晶组织。分别采用小岛法和盒维数法计算出晶粒的分形维数,并探讨分形维数、晶粒尺寸与变形条件之间的关系。结果表明:再结晶晶粒形态具有自相似性,表现出典型的分形特征;且随着变形程度、变形速率的增加和变形温度的降低,再结晶晶粒尺寸减小,分维增大。分形理论的应用为非规则热变形组织的定量研究提供了一种新的方法。
The fractal theory was applied to analyze the recrystallized microstructure of Ti-15-3 alloy after hot deformation and solution treatment. Slit Island Method and Box Counting Method were used to calculate the fractal dimension of grains. The influence of processing parameters on fractal dimension and grain size was studied. The results show that the shapes of recrystallized grain boundaries are self-similar. The fractal dimension of grain boundaries increases with increasing deformation degree and strain rate whereas decreases with increasing deformation temperature, It might provide a new method for quantified study on irregular hot deformation microstructure.
出处
《中国有色金属学报》
EI
CAS
CSCD
北大核心
2007年第7期1149-1154,共6页
The Chinese Journal of Nonferrous Metals
基金
国家自然科学基金资助项目(50405020)