北京科技大学学报
北京科技大學學報
북경과기대학학보
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING
2014年
5期
617-624
,共8页
许志刚%王新华%景财良%王万军
許誌剛%王新華%景財良%王萬軍
허지강%왕신화%경재량%왕만군
枝晶%凝固%偏析%数学模型%扩散%粗化
枝晶%凝固%偏析%數學模型%擴散%粗化
지정%응고%편석%수학모형%확산%조화
dendrites%solidification%segregation%mathematical models%diffusion%coarsening
基于典型微观凝固单元体内的溶质质量守恒,结合前人的研究工作,建立了一个适合于枝晶凝固方式的二元合金微观偏析半解析模型.本模型同时考虑了反向扩散和粗化对微观偏析的影响,并对枝晶臂间距的粗化直接进行计算,因此更为精确.若只考虑反向扩散的影响,本模型可以简化为BF模型形式;而如果只考虑粗化的影响,本模型可简化为Mortensen模型.本模型完整地统一了以BF模型为代表的反向扩散类模型和以Mortensen模型为代表的粗化模型.利用本模型同样可以对多元合金的微观偏析进行很好预测.以Fe-C-X( Si, Mn, P, S)合金体系为例对本模型的求解过程进行了详细的阐述.本模型可以很好地预测Al-4.9%Cu二元合金的共晶分数以及Fe-C-X( Si, Mn, P, S)多元合金体系的零强度温度和零塑性温度,并与实测值吻合良好.
基于典型微觀凝固單元體內的溶質質量守恆,結閤前人的研究工作,建立瞭一箇適閤于枝晶凝固方式的二元閤金微觀偏析半解析模型.本模型同時攷慮瞭反嚮擴散和粗化對微觀偏析的影響,併對枝晶臂間距的粗化直接進行計算,因此更為精確.若隻攷慮反嚮擴散的影響,本模型可以簡化為BF模型形式;而如果隻攷慮粗化的影響,本模型可簡化為Mortensen模型.本模型完整地統一瞭以BF模型為代錶的反嚮擴散類模型和以Mortensen模型為代錶的粗化模型.利用本模型同樣可以對多元閤金的微觀偏析進行很好預測.以Fe-C-X( Si, Mn, P, S)閤金體繫為例對本模型的求解過程進行瞭詳細的闡述.本模型可以很好地預測Al-4.9%Cu二元閤金的共晶分數以及Fe-C-X( Si, Mn, P, S)多元閤金體繫的零彊度溫度和零塑性溫度,併與實測值吻閤良好.
기우전형미관응고단원체내적용질질량수항,결합전인적연구공작,건립료일개괄합우지정응고방식적이원합금미관편석반해석모형.본모형동시고필료반향확산화조화대미관편석적영향,병대지정비간거적조화직접진행계산,인차경위정학.약지고필반향확산적영향,본모형가이간화위BF모형형식;이여과지고필조화적영향,본모형가간화위Mortensen모형.본모형완정지통일료이BF모형위대표적반향확산류모형화이Mortensen모형위대표적조화모형.이용본모형동양가이대다원합금적미관편석진행흔호예측.이Fe-C-X( Si, Mn, P, S)합금체계위례대본모형적구해과정진행료상세적천술.본모형가이흔호지예측Al-4.9%Cu이원합금적공정분수이급Fe-C-X( Si, Mn, P, S)다원합금체계적령강도온도화령소성온도,병여실측치문합량호.
ABSTRACT Based on mass conservation in a typical micro-solidification volume element combining with previous work, a semi-analytical model of microsegregation was established for binary alloys with dendritic solidification. The effects of back-diffusion and coarsening on microsegregation are both considered in the semi-analytical model, and the coarsening of arm spacing is directly calculat-ed to make the semi-analytical model more precise. The semi-analytical model will be simplified to the BF model or the Mortensen model when back-diffusion or coarsening is considered only, respectively. The diffusion model and the coarsening model separately represented by the BF model and the Mortensen model are well unified by the semi-analytical model. Moreover, the semi-analytical model can be extended to multicomponent alloys. The Fe-C-X( Si, Mn, P, S) alloy was taken as an example to elaborate the solving process. The eutectic fractions of the Al-4.9%Cu alloy and the zero strength temperature (ZST) and zero ductility temperature (ZDT) of carbon steel Fe-C-X( Si, Mn, P, S) during solidification can be well predicted by the semi-analytical model.