WIAS Preprint No. 476, (1999)

On an equilibrium problem for a cracked body with electrothermoconductivity


  • Hömberg, Dietmar
  • Khludenv, Aleksander
  • Sokołowski, Jan

2010 Mathematics Subject Classification

  • 73C99 73M25 73T05


  • crack, thermistor, thermoelastic contact, spot welding


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.

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