%0 Journal Article
%T The asymptotic analysis of interfacial stability with surface tension anisotropy for directional solidification of alloys<br>各向异性作用下合金定向凝固界面稳定性的渐近分析
%A Wang Zhi-Jun
%A Wang Jin-Cheng
%A Yang Gen-Cang
%A <br>王志军
%A 王锦程
%A 杨根仓
%J 物理学报
%D 2008
%I 
%X An asymptotic analysis of interfacial stability with the surface tension anisotropy is derived for directional solidification of alloys. The zero and first order solution for multi-scale and the zero order solution for single-scale are obtained. The dispersion relation adapted to all wave-length is presented by combining the short and the long wave-length solutions. It was concluded that the zero order asymptotic solution is equivalent to constitutional undercooling theory and the first order solution is consistent with M-S theory. The instability zone of control parameter enlarges with the surface tension anisotropy,especially for the high temperature gradient and high pulling velocitycases.
%K directional solidification
%K interfacial stability
%K asymptotic analysis
%K anisotropy<br>定向凝固，
%K 界面稳定性，
%K 渐近分析，
%K 各向异性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=C4E223747FAF91F8403FFD2A2BC3BB9D&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=0B39A22176CE99FB&sid=9D6E80F951A5107A&eid=9E9FFC2CDB44A291&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=12