[1] Muraki T, Masubuchi K (1975) Analysis of thermal stresses and metal movement during welding. J Eng Mater-T ASME 97(1):85.

[2] Karlsson RI, Josefson BL (1990) Three-dimensional finite element analysis of temperatures and stresses in a single-pass butt-welded pipe. J Press Vess-T ASME 112: 76-84.

[3] Murthy YV, Rao G (1996) Numerical simulation of welding and quenching processes using transient thermal and thermo-elastic-plastic formulations. Comput Struct 60(1): 131-154.

[4] Kassab HC (2012) Experimental and finite element analysis of a T-joint welding. J Mech Eng Automat 2(7): 411-421.

[5] Eagar N (1983) Temperature fields produced by travelling distributed heat sources. Weld J 62(12): 346-355.

[6] Pathak G (2004) Three-dimensional finite element analysis to predict the different zones of microstructure in submerged arc welding. P I Mech Eng B-J Eng 218(3): 269-280.

[7] Mahapatra G, Pradhan B (2006) Three-dimensional    finite element analysis to predict the effects of SAW process parameters on temperature distribution and angular distortions in single-pass butt joints with top and bottom reinforcements. Int J Pres Ves Pip 83(10): 721-729.

[8] Nezamdost M, Hashemi SH, Mirbozorgi SA (2016) Investigation of temperature and residual stresses field of submerged arc welding by finite element method and experiments. Int J Adv Manuf Tech 87(1-4): 1-10.

[9] Anca A, Risso J, Fachinotti V (2011) Finite element modeling of welding processes. Appl Math Model 35(2): 688-707.

[10] Franca K (1994) Adaptive finite element Analysis of transient thermal problems. Numer Heat Tr B-Fund 26 (3): 273-292.

[11] Stasa F (1985) Applied finite element analysis for engineers. HRW series in mechanical engineering.

[12] Rosenthal D (1946) The theory of moving sources of heat and applications to metal treatments. ASME 11: 849-866.

[13] Rykalin N (1951) Calculations of heat processes in welding. 42nd Annual Meeting of the American Welding Society.

[14] Goldak A, Bibby M (1984) A new finite element model for welding heat sources. Metall Mater Trans 15(2) : 299-305.

[15] Teixeira P, Cunda L (2014) Study of the gaussian distribution heat source model applied to numerical thermal simulations of TIG welding processes. Ciencia Eng 23(1): 115

[16] هادی‌نژاد رودی ع (1395) بررسی عددی توزیع حرارت در قطعات جوشکاری با استفاده از المان محدود. دومین کنفرانس بین­المللی جوشکاری و آزمایش­های غیرمخرب.

[17] Cook R, Malkus D, Plesha M, Witt R (2001) Concepts and applications of finite element analysis. John Wiley and Sons.

[18] Gharebaghi S (1382) Adaptive mesh refinement in modeling of localization problems. 6th International Conference on Civil Engineering, Isfahan.

[19] Bornemann B (1993) Adaptive multilevel methods in three space dimensions. Int J Numer Meth Eng 36(18) : 3187-3203.