Quasistationary problem for a cracked body with electrothermoconductivity
Dietmar Hömberg
Technische Universität Berlin, GermanyJan Sokolowski
Université Henri Poincaré, Vandoeuvre les Nancy, FranceAlexander Khludnev
Russian Academy of Sciences, Novosibirsk, Russian Federation

Abstract
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.
Cite this article
Dietmar Hömberg, Jan Sokolowski, Alexander Khludnev, Quasistationary problem for a cracked body with electrothermoconductivity. Interfaces Free Bound. 3 (2001), no. 2, pp. 129–142
DOI 10.4171/IFB/36