Finite element modeling of macrosegregation coupled with shrinkage cavity in steel ingots using arbitrary Lagrangian-Eulerian model

作     者：Kang-xin Chen Hao Shi Hou-fa Shen 

作者机构：Key Laboratory for Advanced Materials Processing Technology Ministry of EducationSchool of Materials Science and Engineering Tsinghua University 

出 版 物：《China Foundry》 (中国铸造（英文版）)

年 卷 期：2019年第16卷第5期

页      面：291-299页

核心收录：

学科分类：05[文学] 08[工学] 080203[工学-机械设计及理论] 0802[工学-机械工程] 0503[文学-新闻传播学] 

基　　金：financially supported by the National Natural Science Foundation of China(U1508215) 

主　　题：steel ingot macrosegregation shrinkage cavity ALE model finite element modeling 

摘      要：Shrinkage cavity has significant influence on macrosegregation in steel ingots. An arbitrary Lagrangian-Eulerian (ALE) model based on volume averaging method is developed to predict the coupled formation progress of macrosegregation and shrinkage cavity during solidification of steel ingots. The combined effect of thermal-solutal convection and solidification shrinkage on macrosegregation is considered in the model. A specially designed mesh update algorithm is proposed to consider the formation of shrinkage cavity. The streamline-upwind/Petrov–Galerkin (SUPG) stabilized finite element algorithm is adopted to solve the conservation equations. Two solution methods for the energy conservation equation are proposed, i.e. the temperature-based solver and enthalpy-based solver. A Pb-48wt.%Sn solidification benchmark is used for validation. Then, the ALE model is applied to a Fe-3.6wt.%C industrial steel ingot. The formation progress of macrosegregation coupled with shrinkage cavity is predicted. By comparison with the predictions of the finite element model and finite volume model, the effect of shrinkage cavity formation on macrosegregation is investigated. Results show that the formation of shrinkage cavity can significantly change the segregation region and segregation degree at the hot top. It is demonstrated that the ALE model can predict the coupled formation of macrosegregation and shrinkage cavity in steel ingots.