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Estimation of a source term in a quasi steady twodimensional heat transfer p.oblem： ap.lication to an electron beam welding

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Frontiers of Materials Science 2011年第2期5卷 126-134页

作者： Jia-Lin GUO p. Le MASSON E. ARTIOUKHINE T. LOULOU p. rogeon M. CARIN M. DUMONS J. COSTA Dep.rtment of Materials Engineering School of Power and Mechanical Engineering Wuhan University Wuhan 430072 China LET2E/ETM Laboratoire d＇Etudes Thermique Energetique et Environnement Equipe Thermophysique et Materiaux Universite de Bretagne Sud C.U.R.S.T. F-56321 Lorient Cedex France Institut FEMTO-ST Departement CREST CNRS Belfort France

In p.evious work, we have analyzed the feasibility of the estimation for a source term S（x, y, z） in a transversal section, The p.esent study is concerned with a twodimensional inverse p.ase change p.oblem. The goal is the estimation of the dissip.ted heat flux in the liquid zone （reconstruction of a source term in the energy equation） from exp.rimentally measured temp.ratures in the solid zone. This work has an ap.lication in the electron beam welding of steels of thickness about 8cm. The direct thermometallurgical p.oblem is treated in a quasi steady two-dimensional longitudinal section （x, y）. The beam disp.acement is normally in the y direction. But in the quasi steady simulation, the beam is steady in the study section. The samp.e is divided in the axial direction z in few sections. At each section, a source term is defined with a p.rt of the beam and creates a vap.rized zone and a fused zone. The goal of this work is the rebuilding of the comp.ete source term with the estimations at each section. In this p.p.r, we analyze the feasibility of the estimation. For this work, we use only the simulated measurements without noise.

关键词： estimation source term quasi steady the iterative regularization method

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ESTIMATION OF A SOURCE TERM IN A QUASI STEADY TWO-DIMENSIONAL HEAT TRANSFER p.OBLEM: Ap.LICATION TO AN ELECTRON BEAM WELDING

ESTIMATION OF A SOURCE TERM IN A QUASI STEADY TWO-DIMENSIONA...

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湖北省暨武汉焊接学会成立二十五周年2005年焊接学术年会

作者： p.Le Masson E.Artioukhine T．Loulou p.rogeon M．Carin M．Dumons J．Costa LET2E/ETM:Laboratoire d’Etudes Thermique Energétique et Environnement／Equip. Thermop.ysique et Matériaux.Université de Bretagne Sud Institut FEMTO-ST Centre Energétique Environnement．Ecole des Mines d’Albi

In the p.evious work [1], we have analyzed the feasibility of the estimation for a source term S(x, z,t) in a transversal section. The p.esent study is concerned with a two-dimensional inverse p.ase change p.oblem. The goal is the estimation of the dissip.ted heat flux in the liquid zone (reconstruction of a source term in the energy equation) from exp.rimentally measured temp.ratures in the solid zone. This work has an ap.lication in the electron beam welding of steels of thickness about 8 cm. The direct thermo-metallurgical p.oblem is treated in a quasi steady two-dimensional longitudinal section (x,y). The beam disp.acement is normally in the y direction. But in the quasi steady simulation, the beam is steady in the study section. The samp.e is divided in the axial direction Z in few sections. At each section, a source term is defined with a p.rt of the beam and creates a vap.rized zone and a fused zone. The goal of this work is the rebuilding of the comp.ete source term with the estimations at each section. In this p.p.r we analyze the feasibility of the estimation. For this work, we use only the simulated measurements without noise.

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