晶体位错链长统计分布理论公式初探  

AN APPROACH TO MATHEMATICAL MODELING OF DISLOCATION LINK LENGTH DISTRIBUTION IN METAL

作　　者：王勃生[1] 孙福玉[2] 孟庆恩[2] 徐温崇[2] 

机构地区：[1]冶金工业部钢铁研究总院金属物理室,工程师北京100081 [2]冶金工业部钢铁研究总院

出　　处：《金属学报》1992年第3期A100-A103,共4页Acta Metallurgica Sinica

基　　金：国家自然科学基金

摘　　要：本文在晶内位错链长在空间各向分布几率相等条件下,推导出经半无限区域归一化处理的单位体积内位错链长统计分布理论公式φ(l)dl=2ρl_λ^(-4)l^2 exp(-l^2/l_λ~2)dl金属纯Ni及1Cr18Ni9Ti的实验结果证实了该公式的正确性。A statistical distribution function of the dislocation link length, in unit volume of the crystalline materials has been derived theoretically after semi--infinite normalization by as- suming the distribution of actual links in all positions of crystalline materials with equal proba- bility, i.e. whele ρ is dislocation density. This assumption seems to be reasonable for polycrystalline fcc metallic materials, and confirmation has been found in pure Ni and stainless steel 1Cr_(18)Ni_9Ti TEM experiments results.

关 键 词：位错链 长度 分布函数 晶体缺陷 

分 类 号：TG111.2[金属学及工艺—物理冶金]