DOI QR코드

DOI QR Code

Combination of Different Numerical Methods for Efficient Thermal Stress Analysis of Casting Process

주조공정에서의 효율적인 열응력 해석을 위한 이종해석기법의 연계

  • Kwak, Si-Young (e-Design Center, Korea Institute of Industrial Technology(Dept. of Virtual Engineering, University of Science and Technology)) ;
  • Lim, Chae-Ho (e-Design Center, Korea Institute of Industrial Technology(Dept. of Virtual Engineering, University of Science and Technology))
  • 곽시영 (한국생산기술연구원 사이버설계센터(과학기술연합대학원대학교 가상공학과)) ;
  • 임채호 (한국생산기술연구원 사이버설계센터(과학기술연합대학원대학교 가상공학과))
  • Received : 2010.03.12
  • Accepted : 2010.06.09
  • Published : 2010.08.01

Abstract

This paper proposes a method that involves a combination of FDM and FEM for analyzing casting process. At present, many numerical analysis methods such as FDM, FEM, and BEM are used for solving engineering problems. For a given problem, a specific method that is suited to the problem is adopted; in general, FDM or FVM is favored for problems related to fluid flow or heat transfer, and FEM is adopted in stress analysis. However, there is an increasing need for using a combined method for complex and coupled phenomena analysis. Hence, we proposed a method in which FDM and FEM are coupled in three-dimensional space, and we applied this method to analyze casting process. In the proposed method, solidification and heat transfer was analyzed by using FDM. The field data such as temperature distribution were converted into a format suitable for FEM analysis that was used for calculating thermal stress distribution. Using the proposed method, we efficiently analyzed the analysis process from the viewpoints of work and time.

본 논문에서 유한차분법(FDM)과 유한요소법(FEM)을 연계하여 주조공정 해석을 수행하는 이종해석기법을 제안하였다. 수치해석기법으로는 FDM, FEM, BEM 등 다양한 기법이 있으며, 대부분의 공학문제는 각각의 현상에 적합한 수치해석기법을 사용하여 해석을 수행하고 있다. 일반적으로, FDM 또는 FVM 은 유동 및 열전달 해석에, FEM 은 열응력 해석에 많이 적용되고 있지만 복합적인 공학 문제를 해결하기 위해서 각각 수치해석기법을 연동한 해석의 필요성이 점점 증가하고 있다. 따라서, 본 논문에서는 3 차원 공간에서 FDM 을 사용하여 응고 및 열 전달 해석을 수행하고, 계산된 온도 데이터를 FEM 해석장에 적합하게 변환하여 열응력 해석을 수행하는 FDM/FEM연계해석 방법을 제시하였다. 그리고 제시한 해석방법을 주조 공정 해석에 적용한 결과, 요소생성 등의 해석작업과 해석속도 면에서 효율적으로 해석을 수행할 수 있었다.

Keywords

References

  1. Thomas, B. G., 1993, "Stress Modeling of Casting Processses: An Overview," International Conference on Modeling of Casting & Solidification Process -VI, pp. 519-534.
  2. Inoue, T., Ju, D. Y. and Arimoto, K., 1992, "Metallo-Mechanical Simulation of Quenching Process-Theory and Implementation of Computer Code ‘Hearts’," Quenching and Distortion Control, pp. 205-212.
  3. Berghheur, J. M. and Leblond, J. B., 1990, "Coupling Between Heat Flow,Metallurgy and Stress-Strain Computations in Steels: The Aproach Developed in the Computer Code SYSWELD for Welding or Quenching," Proc. Of the Fifth Int. Conf. On Modeling of Casting, Welding and Advanced Solidification Processes-V, pp. 203-209.
  4. Grill, A., Brimacombe, J. K. and Weinberg, F., 1976, "Mathematical Analysis of Stresses in Continuous Casting of Steel," Ironmaking and Steelmaking, No. 1, pp. 38-47.
  5. Hou, T. X., Pehike, R. D. and Wilkes, J. O., 1990, "Computer Simulation of Casting Solidification Using a Combination of the Finite Element and Boundary Element Methods," International Conference on Modeling of Casting & Solidification Process -V, pp. 15-22.
  6. Lee, J. H. and Hwang, K. Y., 1994, "Analysis of Thermal Stresses During Solidification Process Using FVM/FEM Techniques," The Korean Society of Mechanical Engineers, Vol.18, No. 4, pp.1009-1018
  7. Choi, J. K., 1992, "Prediction of Casting Defects and Control of Casting Process by Computer Simulation," Doctor’s Thesis. Yonsei University, pp. 4-9.
  8. Si, H. M., Cho, C. D. and Kwak, S. Y., 2003, "A Hybrid Method for Casting Process Simulation by Combining FDM and FEM with an Efficient Data Conversion Algorithm," J. Materials Processing Technology, Vol . 133, pp. 311-321. https://doi.org/10.1016/S0924-0136(02)01008-7