工程科学学报
工程科學學報
공정과학학보
Journal of University of Science and Technology Beijing
2015年
10期
1313-1318
,共6页
杨振超%陈明文%王艳林%王自东
楊振超%陳明文%王豔林%王自東
양진초%진명문%왕염림%왕자동
晶体%各向异性%表面张力%渐近展开法%晶体生长%形态
晶體%各嚮異性%錶麵張力%漸近展開法%晶體生長%形態
정체%각향이성%표면장력%점근전개법%정체생장%형태
crystals%anisotropy%surface tension%asymptotic expansion%grain growth%morphology
本文研究了拟稳态时各向异性表面张力作用下柱晶界面的生长行为。在运用渐近分析方法求解柱晶界面形态数学表达式的基础上,分析在不同各向异性表面张力强度影响下柱晶界面形态的变化。各向异性表面张力对柱晶界面形态有显著影响。在柱晶生长开始阶段,柱晶部分界面首先向内收缩,当收缩达到某个临界值后,界面开始向外生长。柱晶界面沿着优先生长方向更快地生长。柱晶界面形态上形成突起变形,各向异性表面张力强度越大,柱晶界面形态的突起变形越明显。
本文研究瞭擬穩態時各嚮異性錶麵張力作用下柱晶界麵的生長行為。在運用漸近分析方法求解柱晶界麵形態數學錶達式的基礎上,分析在不同各嚮異性錶麵張力彊度影響下柱晶界麵形態的變化。各嚮異性錶麵張力對柱晶界麵形態有顯著影響。在柱晶生長開始階段,柱晶部分界麵首先嚮內收縮,噹收縮達到某箇臨界值後,界麵開始嚮外生長。柱晶界麵沿著優先生長方嚮更快地生長。柱晶界麵形態上形成突起變形,各嚮異性錶麵張力彊度越大,柱晶界麵形態的突起變形越明顯。
본문연구료의은태시각향이성표면장력작용하주정계면적생장행위。재운용점근분석방법구해주정계면형태수학표체식적기출상,분석재불동각향이성표면장력강도영향하주정계면형태적변화。각향이성표면장력대주정계면형태유현저영향。재주정생장개시계단,주정부분계면수선향내수축,당수축체도모개림계치후,계면개시향외생장。주정계면연착우선생장방향경쾌지생장。주정계면형태상형성돌기변형,각향이성표면장력강도월대,주정계면형태적돌기변형월명현。
The effect of anisotropic surface tension on the growth behavior of column crystals at quasi-steady state is considered in this article. By using the method of asymptotic expansion, a mathematic expression is obtained to describe the interface patterns of column crystals, and the interface morphology change with different anisotropic parameters is discussed. The results show that aniso-tropic surface tension has a great effect on the interface morphology. During the initial stage, some part of the interface shrinks inward first, and then it starts to move outward after the shrink reaches a critical value. In the direction of preferred growth, the interface of column crystals grows faster. The effect of anisotropic surface tension leads to bulge formation of the interface. As the anisotropic parameters increase, the bulge formation gets obvious.