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Multicomponent diffusion coefficient determination in metallurgy by a reduced adjoint system

Benny Malengier (UGent)
(2008) Journal of Physics: Conference Series. 135. p.012070-1-012070-8
Author
Organization
Abstract
This work focuses on a ternary diffusion model, with unknown nonlinear interdiffusion coefficients. Multicomponent diffusion processes are important in metallurgy, eg for the production of high Si-steel by diffusion annealing. A least-squares approach is applied, using the adjoint equation to drive the optimization process. To speed up computations further, freeform determination of the unknown coefficients Dij(u,v) is used in 2 dimensions, combined with a mapping strategy to space coordinates. This results in a reduced adjoint equation of the same form as the direct equation.
Keywords
alloy steel, annealing, metallurgy, chemical interdiffusion, optimisation

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Please use this url to cite or link to this publication:

MLA
Malengier, Benny. “Multicomponent Diffusion Coefficient Determination in Metallurgy by a Reduced Adjoint System.” Journal of Physics: Conference Series. Vol. 135. 2008. 012070–1–012070–8. Print.
APA
Malengier, B. (2008). Multicomponent diffusion coefficient determination in metallurgy by a reduced adjoint system. Journal of Physics: Conference Series (Vol. 135, pp. 012070–1–012070–8). Presented at the 6th International Conference on Inverse Problems in Engineering: Theory and Practice.
Chicago author-date
Malengier, Benny. 2008. “Multicomponent Diffusion Coefficient Determination in Metallurgy by a Reduced Adjoint System.” In Journal of Physics: Conference Series, 135:012070–1–012070–8.
Chicago author-date (all authors)
Malengier, Benny. 2008. “Multicomponent Diffusion Coefficient Determination in Metallurgy by a Reduced Adjoint System.” In Journal of Physics: Conference Series, 135:012070–1–012070–8.
Vancouver
1.
Malengier B. Multicomponent diffusion coefficient determination in metallurgy by a reduced adjoint system. Journal of Physics: Conference Series. 2008. p. 012070–1–012070–8.
IEEE
[1]
B. Malengier, “Multicomponent diffusion coefficient determination in metallurgy by a reduced adjoint system,” in Journal of Physics: Conference Series, Dourdan, Paris, France, 2008, vol. 135, pp. 012070-1-012070–8.
@inproceedings{665512,
  abstract     = {This work focuses on a ternary diffusion model, with unknown nonlinear interdiffusion coefficients. Multicomponent diffusion processes are important in metallurgy, eg for the production of high Si-steel by diffusion annealing. A least-squares approach is applied, using the adjoint equation to drive the optimization process. To speed up computations further, freeform determination of the unknown coefficients Dij(u,v) is used in 2 dimensions, combined with a mapping strategy to space coordinates. This results in a reduced adjoint equation of the same form as the direct equation.},
  author       = {Malengier, Benny},
  booktitle    = {Journal of Physics: Conference Series},
  issn         = {1742-6596},
  keywords     = {alloy steel,annealing,metallurgy,chemical interdiffusion,optimisation},
  language     = {eng},
  location     = {Dourdan, Paris, France},
  pages        = {012070-1--012070-8},
  title        = {Multicomponent diffusion coefficient determination in metallurgy by a reduced adjoint system},
  url          = {http://dx.doi.org/10.1088/1742-6596/135/1/012070},
  volume       = {135},
  year         = {2008},
}

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