“…Ueda and Yamakawa (1971) were the first among those who proposed a thermal elasto-plastic finite element model to analyze the transient thermal stresses induced in a butt joint configuration with material deposition from a moving electrode. Following this pioneering work, many researchers have successfully developed various numerical models (Ueda et al, 1986;Ueda and Yamakawa, 1971;Hibbitt and Marcal, 1973;Rybicki et al, 1978;Radaj, 1992;Luo, 1997;Hong et al, 1998;Dong, 2001;Lindgren, 2006) based on finite element method to predict temperature distribution, analyze the welding residual stress and distortion both in 2D and 3D problems. Hibbitt and Marcal (1973) developed a numerical model for the welding of a large structure by subsequent loading to the structure for high strength steels.…”