物理学报
物理學報
물이학보
2013年
5期
88-97
,共10页
高英俊%罗志荣%黄创高%卢强华%林葵
高英俊%囉誌榮%黃創高%盧彊華%林葵
고영준%라지영%황창고%로강화%림규
结构转变%晶体相场%相图%晶粒取向
結構轉變%晶體相場%相圖%晶粒取嚮
결구전변%정체상장%상도%정립취향
structure transformation%phase-field-crystal%phase diagram%grain orientation
应用双模PFC模型,计算二维PFC相图,模拟二维六角晶格向正方晶格的结构转变过程,观察新相(二维正方相)的形核、长大特点,以及相结构转变的动力学特征.结果表明:六角结构相向正方结构相的转变,正方相最易在六角相晶界处,尤其是在三晶粒的交汇处首先生成正方相的晶核,之后是正方相逐渐通过吞噬六角相的边缘,向六角相内部推进,并不断长大.对于结构转变生成的正方相晶粒,其晶粒取向几乎是随机的,与原先六角相晶粒取向角没有明显的关系.正方相转变的面积分数随时间变化的动力学曲线呈现典型的“S”形.由Avrami曲线可将相变曲线看成由两阶段组成.计算模拟得到的Avrami曲线的第二阶段直线斜率K的范围在2.0和3.0之间,与JMAK理论的指数n相符合.
應用雙模PFC模型,計算二維PFC相圖,模擬二維六角晶格嚮正方晶格的結構轉變過程,觀察新相(二維正方相)的形覈、長大特點,以及相結構轉變的動力學特徵.結果錶明:六角結構相嚮正方結構相的轉變,正方相最易在六角相晶界處,尤其是在三晶粒的交彙處首先生成正方相的晶覈,之後是正方相逐漸通過吞噬六角相的邊緣,嚮六角相內部推進,併不斷長大.對于結構轉變生成的正方相晶粒,其晶粒取嚮幾乎是隨機的,與原先六角相晶粒取嚮角沒有明顯的關繫.正方相轉變的麵積分數隨時間變化的動力學麯線呈現典型的“S”形.由Avrami麯線可將相變麯線看成由兩階段組成.計算模擬得到的Avrami麯線的第二階段直線斜率K的範圍在2.0和3.0之間,與JMAK理論的指數n相符閤.
응용쌍모PFC모형,계산이유PFC상도,모의이유륙각정격향정방정격적결구전변과정,관찰신상(이유정방상)적형핵、장대특점,이급상결구전변적동역학특정.결과표명:륙각결구상향정방결구상적전변,정방상최역재륙각상정계처,우기시재삼정립적교회처수선생성정방상적정핵,지후시정방상축점통과탄서륙각상적변연,향륙각상내부추진,병불단장대.대우결구전변생성적정방상정립,기정립취향궤호시수궤적,여원선륙각상정립취향각몰유명현적관계.정방상전변적면적분수수시간변화적동역학곡선정현전형적“S”형.유Avrami곡선가장상변곡선간성유량계단조성.계산모의득도적Avrami곡선적제이계단직선사솔K적범위재2.0화3.0지간,여JMAK이론적지수n상부합.
The two-mode phase-field-crystal (PFC) method is used to calculate the phase diagram and to simulate the transformation of hexagonal to square structure in two dimensions. The nucleation, grain growth and dynamic feature of the phase structure transforma-tion show that square phase prefers to be present at the juncture place of the three hexagonal grains, and swallows the hexagonal phase at grain boundary. The square grains grow and push the boundary of hexagonal grain toward the inside of hexagonal grain and then the square grains grow up and extend the area of square phase. The orientations of new square grains due to the structure transformation are nearly randomly distributed, and have no relation to those of hexagonal grains. The dynamic curve of area fraction of square phase shows the typical“S”shape with time increasing. The Avrami index curve shows that there are two stages in the transformation. The Avrami index n of second satge in simulation is in a range from 2.0 to 3.0, which is in good agreement with the value from the JMAK theory.