Quasistationary problem for a cracked body with electrothermoconductivity

  • Dietmar Hömberg

    Technische Universität Berlin, Germany
  • Jan Sokolowski

    Université Henri Poincaré, Vandoeuvre les Nancy, France
  • Alexander Khludnev

    Russian Academy of Sciences, Novosibirsk, Russian Federation


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