An equilibrium problem for a thermoelectroconductive body with the Signorini condition on the boundary
- Hömberg, Dietmar
- Khludnev, Aleksander M.
2010 Mathematics Subject Classification
- 35D05 35Q72 73F15
- Resistance welding, Signorini condition, thermistor, thermo- viscoelasticity
We investigate a boundary value problem for a thermoelectroconductive body with the Signorini condition on the boundary, related to resistance welding. The mathematical model consists of an energy balance equation coupled with an elliptic equation for the electric potential and a quasistatic momentum balance with a viscoelastic material law. We prove existence of a weak solution to the model by using the Schauder fixed point theorem and classical results on pseudomonotone operators.
- Math. Methods Appl. Sci., 24 (2001) pp. 233--244.