Sensitivity analysis of crystallization with respect internal parameters

• Autorzy: Lupa M. , Szopa R. , Wojciechowska W.
• Języki publikacji: EN

Abstrakty

EN

The solidification model basing on the Johnson-Mehl-Avrami-Kolmogoroff theory is discussed. Such model is called in literature 'the second generation' one. In particular the sensitivity analysis of the process with respect to the parameters appearing in the source term controlling the solidification is presented. The method allows, among other things, to analyze the influence of the 'internal' parameters on the temperature field in the system considered. On the stage of numerical computations the FDM is used. In the final part of the paper the example of computations is shown.

Słowa kluczowe

EN

sensitivity analysis; crystallization; solidification; mathematical model; casting

PL

analiza wrażliwości; krystalizacja; krzepnięcie; model matematyczny

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 91--98
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Lupa M.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

autor

Szopa R.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

autor

Wojciechowska W.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology

Bibliografia

• [1] Mochnacki B., Szopa R., Application of the BEM in numerical modelling of solidification. Part 1, J. Theor. Appl. Mech. 1998, 2, 36, 457-468.
• [2] Majchrzak E., Mochnacki B., The BEM application for numerical solution of non-steady and non-linear thermal diffusion problems, CAMES 1996, 2, 4, 327-346.
• [3] Mochnacki B., Majchrzak E., Suchy J.S., Thermal theory of foundry processes - a base of numerical simulation of casting solidification - chapter 2, 31-66 (in:) Casting Simulation, Background and Examples, World Foundrymen Organization, International Comission 3.3: Computer Simulation of Casting Processes.
• [4] Dems K., Sensitivity analysis in thermal problems-I: variation of material parameters within fixed domain, Journal of Thermal Stresses 1986, 9, 303-324.
• [5] Kleiber M. In collaboration with H. Antunez, T.D. Hien, P. Kowalczyk, Parameter sensitivity in nonlinear mechanics, Theory and finite element computations, J. Wiley & Sons, England 1997.