Object-oriented analysis of the numerical modelling of castings solidification

• Autorzy: Sczygiol N.
• Języki publikacji: EN

Abstrakty

EN

The paper concerns a method of implementation for the numerical modelling of the solidification process in which the finite element method was used. Modern techniques of software engineering were applied to reach the aim. The decomposition of the problem domain, for the needs of object-oriented analysis, was carried out. The relationships between parts of the analysed problem were discussed. At first, the object-oriented analysis was investigated in general for the wide range of problems solved by the finite element method, e.g. thermomechanic problems of castings, and then it was investigated in detail for the solidification process. The most important specialisation of classes for object implementation of the solidification model were also discussed. The enthalpy solidification formulations were used in the numerical modelling. The three models of solid phase growth, used for solidification modelling of two-component alloys, were described. The method for determining the dependence of enthalpy in relation to temperature and the formula for calculating the solid fraction were shown for each of the three models.

Słowa kluczowe

EN

object-oriented analysis; numerical modelling; solidification

PL

analiza obiektowa; modelowanie numeryczne; proces zestalania; zestalanie

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2001
• Tom: Vol. 8, No. 1
• Strony: 79--98
• Opis fizyczny: Bibliogr. 27 poz., tab., wykr.

Twórcy

autor

Sczygiol N.

• Technical University of Częstochowa, Institute of Mechanics and Machine Design, ul. Dąbrowskiego 73, 42-200 Częstochowa

Bibliografia

• [1] R,. Barrett, et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods. http: //www.netli.b.org/templates/Templates.html .
• [2] A. Bokota. Application of boundary elements for solving the solidification problems. Bulletin of the Polish Academy of Sciences, Technical Sciences, 37: 497-509, 1989.
• [3] A. Bokota. Erstarrung der gleichaxialen Körner, berechnet mit der Randelementmethode. ZAMM 73: T762-765, 1993.
• [4] T.W. Clyne, W. Kurz. Solute redistribution during solidification with rapid solid state diffusion. Metali. Trans., 12A: 965-971, 1981.
• [5] P. Coad, E. Yourdon. Object-Oriented Analysis (in Polish). Oficyna Wydawnicza Read Me, Warszawa, 1994.
• [6] A.J. Dalhuijsen, A. Segal. Comparison of finite element techniques for solidification problems. Int. J. Numer Methods Eng., 23: 1807-1829, 1986.
• [7] R.R. Gajewski, T. Kowalczyk. A prototype object-oriented finite element method program: Class hierarchy and graphic user interface. Computer Assisted Mechanics and Engineering Sciences, 3: 65-74, 1996.
• [8] E. Majchrzak, B. Mochnacki. The BEM application for numerical solution of non-steady and nonlinear thermal diffusion problems. Computer Assisted Mechanics and Engineering Sciences, 3: 327-346, 1996.
• [9] B. Mochnacki, E. Majchrzak. Application of the BEM in thermal theory of foundry. Engineering with Boundary Elements, 16: 99-121, 1995.
• [10] R. Parkitny, N. Sczygiol. Volume solidification equations of two-components metallic alloys (in Polish). Solidification of Metals and Alloys, 12: 29-44, 1987.
• [11] R. Parkitny, N. Sczygiol. Erstarrungsthermomechanik eines Gußstückes unter Berücksichtigung seines Kornaufbaus. ZAMM, 69: T514—T515, 1989.
• [12] A. Radomski, O. Gajl. Object oriented software methodology: a case study of systems for dam monitoring, state diagnosis and visualisation. Computer Assisted Mechanics and Engineering Sciences, 2: 271-287, 1995.
• [13] Y. Saad. Iterative Methods for Sparse Linear Systems. PWS Publishing, New York, 1995.
• [14] P.R. Sahm, W. Richter, F. Hediger. Das rechnerische Simulieren und Modellieren von Erstarrungsvorgdngen bei FormguE. Giesserei-Forschung, 35: 35-42, 1983.
• [15] N. Sczygiol. Das rechnerische Modellieren der Beimengungsverteilung in erstarrenden GuEstiicken aus bindren Legierungen. ZA MM, 74: T619—T622, 1994.
• [16] N. Sczygiol, G. Szwarc. Application of object-oriented finite element programming for castings solidification problems. Solidification of Metals and Alloys, 23: 55-60, 1995.
• [17] N. Sczygiol. Solidification equations by means of finite elements method. Solidification of Metals and Alloys, 30: 221-232, 1997. (in Polish)
• [18] N. Sczygiol, G. Szwarc, T. Olas, A. Nagórka. Object-oriented analysis of solidification modelled by finite elements. Solidification of Metals and Alloys, 30: 233-242, 1997. (in Polish)
• [19] N. Sczygiol. Numerical modelling of castings solidification concerning the forming grained microstructure (in Polish). Archives of Mechanical Technology and Automatization, 18: 275-285, 1998.
• [20] N. Sczygiol, G. Szwarc. Application of enthalpy formulations for numerical simulation of castings solidification. Computer Assisted Mechanics and Engineering Sciences, 8: 99-120, 2001.
• [21] K. Subieta. Objectivity in design and data bases (in Polish). Akademicka Oficyna Wydawnicza PLJ, Warszawa 1998.
• [22] 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.
• [23] D.A. Taylor. Object-oriented Technology. Helion 1994. (in Polish) [24] UML Guide, http : //www .rational.com/uml.
• [25] W.L. Wood. Practical Time-stepping Schemes. Clarendon Press, Oxford, 1990.
• [26] R. Wyrzykowski, N. Sczygiol, T. Olas, J. Kanevski. Parallel finite element modeling of solidification processes. Lecture Notes in Computer Science, No. 1557, 183-195, 1999.
• [27] T. Zimmermann, Y. Dubois-Pelerin, P. Bomme. Object-oriented finite element programming: I. Governing prin- ciples. Comp. Meth. App. Mech. Eng., 98: 291-303, 1992.