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Application of enthalpy formulations for numerical simulation of castings solidification

Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper deals with a numerical modelling of solidification in which enthalpy formulations were used. The finite element method (FEM) was applied for computer simulation of solidification. This is the most common numerical method used in the simulation of physical processes. The enthalpy formulations are more convenient to use than temperature formulations in the multidimensional problems in which FEM is applied. The paper concentrated on two enthalpy formulations: the apparent heat capacity formulation and the basic enthalpy formulation. The time integration schemes and the numerical realisation of boundary conditions were discussed. The models of solid phase growth and the implementation details used in this paper were shown in the first author's paper right above. The presented results of computer simulations contain: temperature fields, solidification kinetics, cooling velocities and calculated distributions of equiaxed grain size.
Rocznik
Strony
99--120
Opis fizyczny
Bibliogr. 19 poz., rys., wykr.
Twórcy
autor
  • Technical University of Częstochowa, Institute of Mechanics and Machine Design, ul. Dąbrowskiego 73, 42-200 Częstochowa
autor
  • Technical University of Częstochowa, Institute of Mechanics and Machine Design, ul. Dąbrowskiego 73, 42-200 Częstochowa
Bibliografia
  • [1] S. Bounds, K. Davey, S. Hinduja. A modified effective capacitance method for solidification modelling using linear tetrahedral finite elements. Int. J. Numer. Methods Eng., 39: 3195-3215, 1996.
  • [2] J. Crank. Free and Moving Boundary Problems. Clarendon Press, Oxford, 1984.
  • [3] A.J. Dalhuijsen, A. Segal. Comparison of finite element techniques for solidification problems. Int. J. Numer. Methods Eng., 23: 1807-1829, 1986.
  • [4] H. Jones. Formation of microstructure in rapidly solidified materials and its effect on properties. Mater. Sci. Eng., A137: 77-85, 1991.
  • [5] W. Kurz, D.J. Fisher. Fundamentals of Solidification. Trans Tech Publications, Switzerland, 1989.
  • [6] B. Mochnacki, J.S. Suchy. Numerical Methods in Computations of Foundry Processes. Polish Foundrymen's Tech. Association, Kraków, 1995.
  • [7] R. Parkitny, N. Sczygiol. Volume solidification equations of two-components metallic alloys. Solidification of Metals and Alloys, 12: 29-44, 1987. (in Polish)
  • [8] R. Parkitny, N. Sczygiol. Erstarrungsthermomechanik eines Gußstückes unter Berücksichtigung seines Kornaufbans. ZAMM, 69: T514—T515, 1989.
  • [9] M. Rappaz, Ch.-A. Gandin. Probabilistic modelling of microstructure formation in solidification processes. Acta Metali. Mater., 41: 345-360, 1993.
  • [10] Y. Saad. Iterative Methods for Sparse Linear Systems. PWS Publishing, New York, 1995.
  • [11] N. Sczygiol. Solidification equations by means of finite elements method (in Polish). Solidification of Metals and Alloys, 30: 221-232, 1997.
  • [12] N. Sczygiol, G. Szwarc, T. Olas, A. Nag6rka. Object-oriented analysis of solidification modelled by finite elements (in Polish). Solidification of Metals and Alloys, 30: 233-242, 1997.
  • [13] N. Sczygiol. Numerical modelling of castings solidification concerning the forming grained microstructure (in Polish). Archives of Mechanical Technology and Automatization, 18: 275-285, 1998.
  • [14] N. Sczygiol. Approaches to enthalpy approximation in numerical simulation of two-component alloy solidification. Computer Assisted Mechanics and Engineering Sciences, 7: 717-734, 2000.
  • [15] N. Sczygiol. Object-oriented analysis of the numerical modelling of castings solidification. Computer Assisted Mechanics and Engineering Sciences, 8: 79-98, 2001.
  • [16] K.K. Tamma, R.R. Namburu. Recent advances, trends and new perspectives via enthalpy-based finite element formulations for applications to solidification problems. Int. J. Numer. Methods Eng., 30: 803-820, 1990.
  • [17] Ph. Thvoz, J.L. Desbiolles, M. Rappaz. Modeling of equiaxed microstructure formation in casting. Metali. Trans. A, 20A: 311-322, 1989.
  • [18] V.R. Voller, C.R. Swaminathan, B.G. Thomas. Fixed grid techniques for phase change problems: a review. Int. J. Numer. Methods Eng., 30: 875-898, 1990.
  • [19] W.L. Wood. Practical Time-stepping Schemes. Clarendon Press, Oxford, 1990.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0006-0033
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