[1]  Ueda Y, Yamakawa T (1971) Analysis of thermal elastic-plastic stress and strain during welding by finite element method. Trans JWRI 2(2): 186-196.

[2]  Goldak J, Oddy A, Gu M, Ma W, Mashaie A, Hughes E (1992) Coupling heat transfer, microstructure evolution and thermal stress analysis in weld mechanics. Mechanical Effects of Welding, ed: Springer: 1-30.

[3] Yajiang L, Juan W, Maoai C, Xiaoqin S (2004) Finite element analysis of residual stress in the welded zone of a high strength steel. Bull Mater Sci 27(2): 127-132.

[4]  Song J, Peters J, Noor A (2003) Sensitivity analysis of the thermomechanical response of welded joints. Int J Solids Struct 40(16): 4167-4180.

[5]  Branza T, Duchosal A, Fras G, Deschaux-Beaume F, Lours P (2004) Experimental and numerical investigation of the weld repair of superplastic forming dies. J Mater Process Technol 155: 1673-1680.

[6]  Nandan R, Roy G, Lienert T, DebRoy T (2006) Numerical modelling of 3D plastic flow and heat transfer during friction stir welding of stainless steel. Scie Technology Weld Joining 11(5): 526-537.

[7]  Alberg H, Berglund D (2003) Comparison of plastic, viscoplastic, and creep models when modelling welding and stress relief heat treatment. Comput Methods Appl Mech Eng 192(49): 5189-5208.

[8]  Fricke S, Keim E, Schmidt J (2001) Numerical weld modeling a method for calculating weld-induced residual stresses. Nucl Eng Des 206(2): 139-150.

[9] Mabelly P, Bourges P, Pont G (2001) Effect of metallurgical transformations on weld residual stresses application to E690 steel grade. Mar Struct 14(4): 553-567.

[10] Barroso A, Canas J, Picon R, Paris F, Mendez C, Unanue I (2010) Prediction of welding residual stresses and displacements by simplified models. Experimental validation. Mater Des 31(3): 1338-1349.

[11] Fachinotti VD, Anca AA, Cardona A (2011) Analytical solutions of the thermal field induced by moving double ellipsoidal and double elliptical heat sources in a semi infinite body. Int J Numer Method Biomed Eng 27(4): 595-607.

[12] Shugen X, Wang W, Chang Y (2014) Using FEM to predict residual stresses in girth welding joint of layered cylindrical vessels. Int J Press Vessels Pip 119: 1-7.

[13] Stamenkovic D, Peric M (2011) Determination of Residual Stresses in Welded Pipes Using a Simplified Heat Source. Rev Sci Tech 61(1): 12-16.

[14] Fanous IF, Younan MY, Wifi AS (2002) 3-D finite element modeling of the welding process using element birth and element movement techniques. ASME Pressure Vessels Piping Div Publ PVP 442: 165-172.

[15] Javadi Y (2012) Residual Stress Evaluation through Thickness of an Austenitic Stainless Steel Welded Joint by using Ultrasonic Technique. PhD Thesis, Mechanical Engineering, Amirkabir University, Tehran, Iran. (In Persion)

[16] Steuwer A, Peel MJ, Withers PJ (2006) Dissimilar friction stir welds in AA5083–AA6082: the effect of process parameters on residual stress. Mater Sci Eng A 441(1): 187-196.

[17] Masubuchi K (1980) Analysis of welded structures: Residual stresses, distortion, and their consequences. 1st edn.  Elsevier 33.

[18] Eftekhari M (2014) Simulation of longitudinal residual stress in welded austenitic stainless steel plates and evaluation with x-ray diffraction and ultrasonic methods. MSc Thesis, Mechanical Engineering, Amirkabir University, Tehran, Iran. (In Persion)

[19] Park DH, Choi SW, Kim JH, Lee JM (2015) Cryogenic mechanical behavior of 5000-and 6000-series aluminum alloys: Issues on application to offshore plants. Cryogenics 68: 44-58.

[20] Javadi Y, Akhlaghi M, Najafabadi MA (2013) Using finite element and ultrasonic method to evaluate welding longitudinal residual stress through the thickness in austenitic stainless steel plates. Mater Des 45: 628-642.

[21] Sadeghi S, Najafabadi MA, Javadi Y, Mohammadisefat M (2013) Using ultrasonic waves and finite element method to evaluate through-thickness residual stresses distribution in the friction stir welding of aluminum plates. Mater Des 52: 870-880.

[22] AWS Standard D1.6/D1.6M (2003) American Welding Society, Structural Welding Code - Aluminum, An American National Standard.

[23] Jalili N (2014) Investigation of heat transfer in friction stir welding process with cooling flux. MSc Thesis, Mechanical Engineering, Amirkabir University, Tehran, Iran. (In Persion)

[24] Hasani M (2013) Evaluation of welding residual stress in austenite stainless steel using LCR ultrasonic waves. MSc Thesis, Mechanical Engineering, Amirkabir University, Tehran, Iran. (In Persion)

[25] Karimnia V, Sattari-Far I (2015) Investigating the influence of effective parameters on the residual stresses in circumferentially arc welded thin walled cylinders of aluminum alloy series 5000. Modares Mechanical Engineering 15(3): 377-386. (In Persian).

[26] Pradip D, Joshi Y, Franche C (1994) Determination of gas tungsten arc welding efficiencies. Exp Therm Fluid Sci 9(1): 80-89.

[27]­ Deng D, Murakawa H (2008) Prediction of welding distortion and residual stress in a thin plate butt-welded joint. Comput Mater Sci 43(2): 353-365.

[28]­ Jiang W, Zhang Y, Woo W (2012) Using heat sink technology to decrease residual stress in 316L stainless steel welding joint: Finite element simulation. Int J Press Vessels Pip 92: 56-62.

[29] Eftekhari M, Najafabadi MA (2015) Evaluation of the Capability of Ultrasonic Method for Measuring Longitudinal Welding Residual Stress, by Validating with X-Ray Diffraction Method. Modares Mechanical Engineering 15(9): 1-10. (In Persian)

[30] Hauk V (1977) Structural and residual stress analysis by nondestructive methods: Evaluation-Application-Assessment. Elsevier.

[31] Hilly ME (1971) Residual stress measurement by X-ray diffraction. SAE J784a, Society of Automotive Engineers, Warrendale, PA: 19.

[32] Pecharsky V, Zavalij P (2009) Fundamentals of powder diffraction and structural characterization of materials. 2nd edn. Springer 69, New York.

[33] Fitzpatrick M, Fry A, Holdway P, Kandil F, Shackleton J, Suominen L (2005) Determination of residual stresses by X-ray diffraction. p. 45.

[34] Schajer GS (ed). (2013) Practical Residual Stress Measurement Methods. 1st edn. Wiley.

[35] Akbari S, Miresmaeili R (2008) Experimental and numerical analyses of residual stress distributions in TIG welding process for 304L stainless steel. J Mater Process Technol 208(1): 383-394.