Calculation of continuous casting billet solidification based on element-free Galerkin method

被引:0
作者
Wang N. [1 ,2 ]
Wang X.-D. [1 ,2 ]
Cai L.-Q. [1 ,2 ]
Yao M. [1 ,2 ]
机构
[1] School of Materials Science and Engineering, Dalian University of Technology, Dalian
[2] Key Laboratory of Solidification Control and Digital Preparation Technology, Dalian University of Technology, Dalian, 116024, Liaoning Province
来源
Gongcheng Kexue Xuebao/Chinese Journal of Engineering | 2020年 / 42卷 / 02期
关键词
Continuous casting; Element-free Galerkin method; Heat transfer; Moving least squares; Solidification;
D O I
10.13374/j.issn2095-9389.2019.02.02.001
中图分类号
学科分类号
摘要
The mold is the core component of a continuous caster, and the complex metallurgical behavior in the mold is the primary factor determining the quality of continuous casting slabs. The numerical simulation method based on meshing, such as the finite element method, has become an important method to study the complex heat transfer and mechanical behavior in the mold. With in-depth research, the meshing-based numerical simulation method has been found incapable of accurately reconstructing the solidified shell shape of slabs and tracing the liquid-solid phases coexisting region, and addressing some complex problems such as large deformation and crack propagation is difficult. To investigate the feasibility of the meshless method for solving the solidification process of continuous casting billet, according to the moving least square method and variational principle, a two-dimensional unsteady transient heat transfer mathematical model of billet solidification process in mold was established based on element-free Galerkin method. In this work, an arrangement of the uniform, increased density, and randomly distributed nodes was used to calculate the change of temperature field during the billet solidification process. The calculation results of the element-free Galerkin method were compared with the reference solution and the numerical solution of the finite element method. The results show that the element-free Galerkin method outperforms the finite element method in terms of accuracy, adaptability, and mesh-dependence. The study results provide references for applying the meshless method to the numerical calculation of heat transfer, solidification, and stress/strain behaviors in the continuous casting process. © All right reserved.
引用
收藏
页码:186 / 193
页数:7
相关论文
共 18 条
  • [1] Jing D.J., Cai K.K., Numerical simulation of the coupling phenomenon between thermal and mechanical fields of billet in continuous casting mold, J Univ Sci Technol Beijing, 22, 5, (2000)
  • [2] Dalrymple R.A., Rogers B.D., Numerical modeling of water waves with the SPH method, Coastal Eng, 53, 2-3, (2006)
  • [3] Cingoski V., Miyamoto N., Yamashita H., Element-free Galerkin method for electromagnetic field computations, IEEE Trans Magn, 34, 5, (1998)
  • [4] Adams B., Wicke M., Meshless approximation methods and applications in physics based modeling and animation, EUROGRAPHICS 2009, (2009)
  • [5] Liu M.B., Liu G.R., Zong Z., Et al., Computer simulation of high explosive explosion using smoothed particle hydrodynamics methodology, Comput Fluids, 32, 3, (2003)
  • [6] Zhang L., Shen H.F., Rong Y.M., Et al., Numerical simulation on solidification and thermal stress of continuous casting billet in mold based on meshless methods, Mater Sci Eng A, 466, 1-2, (2007)
  • [7] Vertnik R., Sarler B., Solution of a continuous casting of steel benchmark test by a meshless method, Eng Anal Boundary Elem, 45, (2014)
  • [8] Yamasaki N., Shima S., Tsunenari K., Et al., Particle-based numerical analysis of spray water flow in secondary cooling of continuous casting machines, ISIJ Int, 55, 5, (2015)
  • [9] Vaghefi R., Hematiyan M.R., Nayebi A., Three-dimensional thermo-elastoplastic analysis of thick functionally graded plates using the meshless local Petrov - Galerkin method, Eng Anal Boundary Elem, 71, (2016)
  • [10] Hostos J.C.A., Bencomo A.D., Cabrera E.S.P., Simple iterative procedure for the thermal-mechanical analysis of continuous casting processes using the element-free Galerkin method, J Therm Stresses, 41, 2, (2018)