[1] 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)

[2] Murnaghan F. D (1937) Finite deformations of an elastic solid. Am J Math 59(2): 235-260.

[3] Hughes D. S, Kelly J. L (1953) Second-order elastic deformation of solids. Phys Rev 92(5): 1145.

[4] Crecraft D. I (1967) The measurement of applied and residual stresses in metals using ultrasonic waves. J Sound Vib 5(1): 173-192.

[5] Egle D. M, Bray D. E (1976) Measurement of acoustoelastic and third order elastic constants for rail steel. J Acoust Soc Am 60(3): 741-744.

[6] Egle DM, Bray DE (1978) Nondestructive measurement of longitudinal rail stresses: Application of the acoustoelastic effect to rail stress measurement. 34(1): Final Rpt.

[7] Egle DM (1980) Application of the acoustoelastic effect to rail stress measurement. Ultrasonic Materials Characterization 596: 213.

[8] Leon-Salamanca T, Bray DE (1988) Ultrasonic measurement of residual stress in steels using critically refracted longitudinal waves (Lcr). PhD diss., Texas A&M University.

[9] Leon-Salamanca, T, and Bray DF (1996) Residual stress measurement in steel plates and welds using critically refracted longitudinal (LCR) waves. Journal of Research in Nondestructive Evaluation 7(4): 169-184.

[10] Walaszek H, Hoblos J, Bouteille P, Bourse G, Robin C (2006) Ultrasonic stress measurement: Application to welded joints. ECNDT. Tu 4(3).

[11] Gachi S, Belahcene F, Boubenider F (2009) Residual stresses in AA7108 aluminium alloy sheets joined by friction stir welding. Nondestruct Test Eva 24(3): 301-309.

[12] Qozam H, Chaki S, Bourse G, Robin C, Walaszek H (2010) Microstructure effect on the Lcr elastic wave for welding residual stress measurement. Exp Mech 50(2): 179-185.

[13] Javadi Y, Pirzaman HS, Raeisi MH, Najafabadi, MA (2013) Ultrasonic inspection of a welded stainless steel pipe to evaluate residual stresses through thickness. Mater Design 49: 591-601.

[14] 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 Design 45: 628-642.

[15] Javadi Y, Pirzaman HS, Raeisi MH, Najafabadi MA (2013). Ultrasonic evaluation of welding residual stresses in stainless steel pressure vessel. J Press Vess-T ASME 135(4): 041502.

[16] 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)

[17] 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 Design 52: 870-880.

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

[19] 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)

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

[21] Pradip D, Joshi Y, Franche C (1994) Determination of gas tungsten arc welding efficiencies. Experimental thermal and fluid science 9(1): 80-89.

[22] 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)

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

[24] 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 Pres Ves Pip 92: 56-62.

[25] Adachi T, Sekino T, Nakayama T, Kusunose T, Niihara K (2003) Measurement of microscopic stress distribution of multilayered composite by X-ray stress analysis. Mater Lett 57(20): 3057-3062.

[26] Hauk V (1997) Structural and residual stress analysis by nondestructive methods: Evaluation-Application-Assessment. Elsevier.

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

[28] Pecharsky VK, Zavalij P (2009) Fundamentals of powder diffraction and structural characterization of materials. New York, Springer 69.

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

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

[31] Eftekhari M, Najafabadi M. A, Farahani M (2017) Evaluation of Longitudinal Residual Stress Variations Along the Thickness of Welded Joint of 5086 Aluminum Alloy. Journal of Solid and Fluid Mechanics 7(3): 1-16. (in Persian)

[32] Minicuci  DJ, dos Santos Júnior AA, Andrino MH, de Carvalho Santos F (2006) Stress evaluation of railroad forged wheels by ultrasonic testing. J Test Eval 35(1): 66-74.

[33] Gachi S, Boubenider F, Belahcene F (2011) Residual stress, microstructure and microhardness measurements in AA7075-T6 FSW welded sheets. Nondestruct Test Eva 26(1): 1-11.

[34] Ueda Y, Murakawa H, Ma N (2012) Welding deformation and residual stress prevention. Elsevier.

[35] Khedmat M, Najafabadi MA, Bafghy HR (2014) Acousto elastic constant measurement in the HAZ of aluminum connection with the approach of using differnt frequencies. Indian J Sci Res 1(2): 329-334.