论文部分内容阅读
概述了理论计算和Richardson作图两种测量谢宾斯基地毯分维的方法。用作图法测量了Fe-29%Ni-0.16%C合金冷至-125℃所得马氏体和残余奥氏体构成的显微组织的谢宾斯基分维。从作图法可知:(1)描述马氏体相变的谢宾斯基分维的物理意义是,分维值越大,残余奥氏体随马氏体尺寸减小而减少的比率越低;(2)由同一形态的马氏体和残余奥氏体构成的显微组织是否有谢宾斯基分维,决定于残余奥氏体面积和马氏体尺寸之间的关系是否满足 A(ε)=A_0ε ̄(2-D)式。
Two methods for measuring the fractal dimension of Chebenskiewicz carpet, including theoretical calculation and Richardson mapping, are summarized. Was used as a graph to measure the Chebinsk fractal dimension of the microstructure consisting of martensite and retained austenite of Fe-29% Ni-0.16% C alloy cooled to -125 ° C. From the mapping method we can see: (1) The physical significance of the Sembuski fractal dimension that describes the martensitic transformation is that the larger the fractal dimension value, the lower the ratio of residual austenite decreases with decreasing martensite size ; (2) Whether the microstructure composed of the same type of martensite and retained austenite has a Chebysius fractal dimension depends on whether the relationship between the retained austenite area and the martensite size satisfies A ( ε) = A_0ε¯ (2-D).