A kind of analytical model of arc welding temperature distribution under varying material properties

Nonlinear partial differential equation of temperature distribution with material properties varying was linearized by choosing appropriate linearization coefficient and solved through Green's function and Fourier transform methods. According to these results deduced, analytical model of arc welding temperature distribution under material properties varying condition was obtained. To verify precision of the analytical model obtained, temperature distribution of semi-infinite body under moving spot heat source was calculated through three different methods, including analytical model with and without considering material characters varying and finite element model. By comparing weld pool size calculated through the three methods, results got from analytical model of this paper were found more close to which got from finite element method. Conclusion was that, by taking material properties varying into account, analytical model deduced in this paper had higher precision, especially near the area of weld pool where temperature gradient was very great in welding process.