Application of inverse methods to the estimation of boundary conditions and properties

Michel Rappaz 1 Jean-Luc Desbiolles 1 Jean Marie Drezet 2 Charles-André Gandin 1 A. Jacot 1 Ph. Thevoz 1
1 Laboratoire de Métallurgie Physique
2 Computational Materials Laboratory
Abstract : nverse methods can be used in solidification and related processes for the estimation of boundary conditions or physical properties of materials. For heat flow problems, these methods are based upon a minimization of the errors between calculated and measured temperatures at given locations and times of the space-time domain, the calculated values being obtained from a numerical solution of the heat flow equation. In the present case, a maximum a posteriori technique has been implemented into a finite element code. This method is then applied to several situations for the determination of: i) the time-dependent heat-transfer coefficient at the surface of a steel rod which has been water-cooled after induction heating (non-stationary situation); ii) the space-dependent heat flow at the surface of a direct chill cast aluminum slab (stationary situation); and iii) the temperature-dependent thermal conductivity of aluminum-silicon alloys. In this latter case, the influence of the silicon concentration on the thermal conductivity is clearly revealed.
Keywords : Thermal conductivity Problem solving Computer software Boundary conditions Composition effects Aluminum castings Aluminum alloys Inverse problems Metal casting Heat transfer coefficients Thermal effects Finite element method
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Soumis le : mardi 18 juillet 2017 - 17:05:31
Dernière modification le : mercredi 29 novembre 2017 - 14:51:33

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Michel Rappaz, Jean-Luc Desbiolles, Jean Marie Drezet, Charles-André Gandin, A. Jacot, et al.. Application of inverse methods to the estimation of boundary conditions and properties. Modeling of Casting, Welding and Advanced Solidification Processes, 1995, Proceedings of the 1995 7th Conference on Modeling of Casting, Welding and Advanced Solidification Processes; London, UK; ; 10 September 1995 through 15 September 199, pp.449-457. ⟨hal-01564446⟩

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