Simulation of a weld pool interface motion by a variational inequality approach

WIT Transactions on the Built Environment

Volumn 84, Issue , 2005, Pages 671-681

  Doan, D D ^a   Gabriel, F ^a   Jarny, Y ^b   Masson Le, P ^c  

^a CEA/DRT/DTEN/LITEN/UTIAC   (France)

^b UNIVERSITÉ DE NANTES   (France)

^c UNIVERSITÉ DE BRETAGNE SUD   (France)

Author keywords

Duvaut's transform; Finite element; Front of fusion; Heat source; Stefan problem; Variational inequality

Indexed keywords

CYLINDERS (SHAPES); FINITE ELEMENT METHOD; FLUID STRUCTURE INTERACTION; HEAT TRANSFER; INTEGRAL EQUATIONS; TEMPERATURE; VARIATIONAL TECHNIQUES;

CYLINDRICAL GEOMETRY; HEAT SOURCES; HEAT TRANSFER PROBLEMS; INTEGRAL TRANSFORMATIONS; PARABOLIC VARIATIONAL INEQUALITY; PHASE CHANGE PROBLEM; STEFAN PROBLEM; VARIATIONAL INEQUALITIES;

ELECTRIC WELDING;

CALLUNA VULGARIS;

EID: 84903398195     PISSN: 17433509     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (20)

1. P. G Jönsson, J. Szekely, R. T. C Choo, and T. P. Quinn, Mathematical models of transport phenomena associated with arc-welding processes: a survey, Modelling Simul. Mater. Sci. Eng. 2 (1994) 995-1016.
2. T. Zacharia, J. M. Vitek, J. A. Goldak, T. A. Debroy, M. Rappaz, Modelling of fundamental phenomena in welds, Modelling Simul. Mater. Eng. 3 (1995) 265-288.
3. A. Kumar, W. Zhang, C. H. Kim and T. Debroy, A smart bi-directional model of heat transfer and free surface flow in gas metal arc fillet welding for practicing engineers, Mathematical modelling of weld phenomena 7 edited by H. Cerjak, H. K. D. H; Bhadeshia, E. Kozeschnik.
4. J. A. Goldak, Thermal Analysis of Welds, Chapter 2, Modelling in Welding, Hot Powder Forming, and Casting 1997.
5. Y. F. Hsu, B. Rubinsky, K. Mahin, An inverse Finite Element Method for Analysis of Stationary Arc Welding Processes, Journal of Heat Transfer, Vol. 108, November 1986.
6. R. G. Keanini and N. N. Desai, Inverse finite element reduced mesh method for predicting multi-dimensional phase change boundaries and nonlinear solid phase heat transfer, Int. J. Heat Mass Transfer, Vol 39, No 5, (1996) pp 1039-1049.
7. Nehad Al-Khadily, Application of optimisation methods for solving inverse phase-change problems, Numerical Heat Transfer, Part B, 31: 477-497,1997.
8. Jialin Guo, Thesis: Estimation de la distribution énergétique induite par un faisceau d'électrons dans un matériau métallique - Application au cas du soudage d'un acier, University of South Britanny, France 2005.
9. Nicholas Zabaras, Inverse finite element techniques for the analysis of solidification processes, Int. J. for. Num. in Engineering, Vol. 29, (1990) 1569-1587.
10. Yimin Ruan and Nicholas Zabaras, An inverse finite-element technique for determine the change of phase interface location in two-dimensional melting problem, Communication in Applied Numerical Method, Vol. 7, (1991) pp. 325-338.
11. W. Shyy, H. S. Udaykumar and S.-J. Liang, An interface tracking method applied to morphological evolution during phase change, Int. J. Heat Mass Transfer, Vol. 36, No. 7, (1993), pp. 1833-1844.
12. George Z. Yang and Nicholas Zabaras, The adjoint method for an inverse design problem in the directional solidification of binary alloys, Journal of Computational Physics 140, (1998), pp. 432-452.
13. C. Bénard and A. Afshari, Inverse Stefan problem: tracking of the interface position from measurements on the solid phase, Int. J. for Numerical Methods in Engineering, Vol. 35, (1992), pp. 835-851.
14. S. Peneau, J. P. Humeau, and Y. Jarny, Front motion and convective heat flux determination in a phase change process, Inverse Problems in Engineering, (1996), Vol. 4, pp. 53-91.
15. D. D. Doan, Modèle direct pour l'identification de l'interface Liquide-Solide dans une operation de soudage, Interior report of CEA France 2005.
16. G. Duvaut, Equations aux dérivées partielles-Résolution d'un problème de Stefan (Fusion d'un bloc de glace à zéro degré), C. R. Acad, des Science Paris,276A, (1973), pp. 1461-1463.
17. G. Duvaut, J. L. Lions, Les inéquations en mécanique et en physique, Dunod 1979.
18. R. Glowinski, J. L. Lions, R. Tremolieres, Analyse numérique des inéquations variationnelles, Ed. Dunod, Paris, France, 1993.
19. J. L. Lions, Quelques méthodes de résolution des problème aux limites non-linéaire, Ed. Dunod Gauthier - Villars, Paris, France, 1969.
20. R. Dautray, J. L. Lions, Analyse mathématique et calcul numérique pour les sciences et les techniques, Ed. Masson, Paris, France, 1988.