Abstract
Assuming constant rates for nucleation and growth and neglecting thermal gradient in the melt, an analytical approach to describe the undercooled solidification was proposed in terms of ξα(x) function. This approach was adopted to study the solidification of undercooled Ni–B alloy. With increasing melt undercooling, good model fits to recalescences arising from the solidification of the primary and eutectic phases were obtained. The fitting results are consistent with the structure evolution upon solidification.
The authors are grateful for the financial support of the Free Research Fund of State Key Laboratory of Solidification Processing (grant nos. 09-QZ-2008 and 24-TZ-2009), the 111 project (project no. B08040), the Natural Science Foundation of China (grant nos. 50771084, 50901059 and 51071127), the Huo Yingdong Yong Teacher Fund (grant no. 111502) and the National Basic Research Program of China (973 Program) (grant no. 2011CB610403).