Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-29T11:00:42.990Z Has data issue: false hasContentIssue false

1D modelling of internal oxidation phenomena with X-FEM

Published online by Cambridge University Press:  29 October 2010

Éric Feulvarch
Affiliation:
Univ. Lyon, LTDS, UMR 5513 CNRS/ECL/ENISE, 58 rue Jean Parot, 42023 Saint-Étienne Cedex 2, France
Jean-Christophe Roux
Affiliation:
DIPI, EA 3719 ENISE, 58 rue Jean Parot, 42023 Saint-Étienne Cedex 2, France
Jean-Michel Bergheau
Affiliation:
Univ. Lyon, LTDS, UMR 5513 CNRS/ECL/ENISE, 58 rue Jean Parot, 42023 Saint-Étienne Cedex 2, France
Get access

Abstract

The simulation of simultaneous diffusion and precipitation of a chemical element during internal oxidation phenomena is presented here, from X-FEM method. This technique seems to be really appropriate when solubility products are very low, or even almost null. In this case, a precipitation front appears and should be properly represented by the numerical simulation. The X-FEM method is then of strong interest, since it allows to know precisely the position of the front all the time of simulation, without remeshing.

Type
Research Article
Copyright
© AFM, EDP Sciences 2010

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Flauder, P., Huin, D., Leblond, J.-B., Numerical simulation of internal oxidation of steels during annealing treatments, Oxid. Met. 64 (2005) 131167 Google Scholar
Feulvarch, E., Bergheau, J.-M., Leblond, J.-B., An implicit finite element algorithm for the simulation of diffusion with phase changes in solid, Int. J. Num. Methods Eng. 78 (2009) 14921512 CrossRefGoogle Scholar
Feulvarch, E., Bergheau, J.-M., An implicit fixed-grid method for the finite element analysis of heat transfer involving phase changes, Numer. Heat Transf. Part B 51 (2007) 585610 CrossRefGoogle Scholar
Chessa, J., Smolinski, P., Belytschko, T., The extended finite element method for solidification problems, Int. J. Num. Methods Eng. 53 (2002) 19591977 CrossRefGoogle Scholar
Wagner, C., Theorical analysis of the diffusion processes determining the oxidation rate of alloys, J. Electrochem. Soc. 99 (1952) 369380 CrossRefGoogle Scholar
Wagner, C., Reaktionstypen bei der oxydation von Legierugen, Z. Elektrochem. 63 (1959) 772782 Google Scholar