Bain对应和K-S模型的数学描述  

THE MATHEMATICAL DESCRIPTION OF THE K-SMECHANISM AND BAIN CORRESPONDENCE

作　　者：王宝奇[1] 谷南驹[1] 郭素珍[1] 马晓莉[1] 

机构地区：[1]河北工业大学金属材料研究所,天津300132

出　　处：《金属学报》2002年第5期474-478,共5页Acta Metallurgica Sinica

基　　金：国家自然科学基金项目59771040资助

摘　　要：利用Bain点阵对应时K-S模型的晶格改建过程进行了严密的数学描述,对于不同的马氏体正方度,提出了计算第一切变、第二切变及晶格调整的计算依据,并给出了普遍的计算公式,以Fe-1.4C和纯铁为例,计算了马氏体相变的点阵畸变,进一步分析表明,K-S模型实质是Bain模型的旋转,计算的结果与实测的取向关系相符合。The transformation from fcc parent phase to bct martensite indicated by K-S mechanism has been described mathematically according to the Bain lattice correspondence. The criteria for the calculation of the first shear, the second shear and adjustment of lattice parameters have been proposed. On this basis, the general formulae have been deduced. As examples, the lattice distortions of martensitic transformations in pure Fe and Fe-1.4C steel were calculated. The result shows that K-S mechanism is the Bain distortion acted by a rotation matrix essencially, The description presented is supported by the experimental orientation relationship between martensite phase and parent phase.

关 键 词：K-S模型 数学描述 马氏体相变 点阵畸变 Bain模型 

分 类 号：TG111.5[金属学及工艺—物理冶金]