Geodesic
Quasistationary problem for a cracked body with electrothermoconductivity
Dietmar Hömberg1 ; Alexander Khludnev2 ; Jan Sokolowski3
1Technische Universität Berlin, Germany
2Russian Academy of Sciences, Novosibirsk, Russian Federation
3Université Henri Poincaré, Vandoeuvre les Nancy, France
Interfaces and free boundaries, Tome 3 (2001) no. 2, pp. 129-142

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DOI

We consider a problem related to resistance spot welding. The mathematical model describes the equilibrium state of an elastic, cracked body subjected to heat transfer and electroconductivity and can be viewed as an extension to the classical thermistor problem. We prove existence of a solution in Sobolev spaces.
DOI : 10.4171/ifb/36
Classification : 46-XX, 60-XX
Mots-clés : Crack, thermistor, thermoelastic contact, spot welding

Dietmar Hömberg  1   ; Alexander Khludnev  2   ; Jan Sokolowski  3

1 Technische Universität Berlin, Germany
2 Russian Academy of Sciences, Novosibirsk, Russian Federation
3 Université Henri Poincaré, Vandoeuvre les Nancy, France 
Dietmar Hömberg; Alexander Khludnev; Jan Sokolowski. Quasistationary problem for a cracked body with electrothermoconductivity. Interfaces and free boundaries, Tome 3 (2001) no. 2, pp. 129-142. doi: 10.4171/ifb/36
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     title = {Quasistationary problem for a cracked body with electrothermoconductivity},
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     year = {2001},
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     doi = {10.4171/ifb/36},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/36/}
}
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