1- Murnaghan FD. Finite deformations of an elastic solid. American Journal of Mathematics. 1937;59(2):235-260. [
LinK] [
DOI:10.2307/2371405]
Treuting RG, Read Jr WT. A mechanical determination of biaxial residual stress in sheet materials. Journal of Applied Physics. 1951;22(2):130-134. [
LinK] [
DOI:10.1063/1.1699913]
Hughes DS, Kelly JL. Second-order elastic deformation of solids. Physical Review. 1953;92(5):1145-1149. [
LinK] [
DOI:10.1103/PhysRev.92.1145]
Clotfelter WN, Risch E. Ultrasonic measurement of stress in railroad wheels and in long lengths of welded rail. NASA Technical Memorandum Report. Washington: NASA; 1974 Jul. Report No: NASA TNI X -64863. [
LinK]
Egle DM, Bray DE. Measurement of acoustoelastic and third‐order elastic constants for rail steel. The Journal of the Acoustical Society of America. 1976;60(3):741-744. [
LinK] [
DOI:10.1121/1.381146]
Tanala E, Bourse G, Fremiot M, De Belleval JF. Determination of near surface residual stresses on welded joints using ultrasonic methods. NDT & E International. 1995;28(2):83-88. [
LinK] [
DOI:10.1016/0963-8695(94)00013-A]
Santos AA, Bray DE, Caetano SF, Andrino MH, Trevisan RE. Evaluation of the rolling direction effect in the acoustoelastic properties for API 5L X70 steel used in pipelines. ASME Pressure Vessels and Piping Conference, Recent Advances in Nondestructive Evaluation Techniques for Material Science and Industries. New York: ASME; 2004. pp. 85-90. [
LinK] [
DOI:10.1115/PVP2004-2819]
Abdul Aziz S, Lucas M. The effect of ultrasonic excitation in metal forming tests. Applied Mechanics and Materials. 2010;24-25:311-316. [
LinK] [
DOI:10.4028/www.scientific.net/AMM.24-25.311]
Ya M, Marquette P, Belahcene F, Lu J. Residual stresses in laser welded aluminium plate by use of ultrasonic and optical methods. Materials Science and Engineering: A. 2004;382(1-2):257-264. [
LinK] [
DOI:10.1016/j.msea.2004.05.020]
Zhang J, Drinkwater BW, Wilcox PD, Hunter AJ. Defect detection using ultrasonic arrays: The multi-mode total focusing method. NDT & E International. 2010;43(2):123-133. [
LinK] [
DOI:10.1016/j.ndteint.2009.10.001]
Schajer GS. Relaxation methods for measuring residual stresses: Techniques and opportunities. Experimental Mechanics. 2010;50(8):1117-1127. [
LinK] [
DOI:10.1007/s11340-010-9386-7]
Javadi Y, Salimi Pirzaman H, Hadizadeh Raeisi M, Ahmadi Najafabadi M. Ultrasonic inspection of a welded stainless steel pipe to evaluate residual stresses through thickness. Materials & Design. 2013;49:591-601. [
LinK] [
DOI:10.1016/j.matdes.2013.02.050]
Javadi Y, Plevris V. Evaluation of welding residual stress in stainless steel pipes by using the LCR ultrasonic waves. 3rd South-East European Conference on Computational Mechanicsan ECCOMAS and IACM Special Interest Conference, Kos Island, Greece, 12-14 June 2013. Unknown city: Unknown Publisher; 2013. pp. 1-11. [
LinK] [
DOI:10.7712/seeccm-2013.2157]
Liu B, Dong S. Stress evaluation of laser cladding coating with critically refracted longitudinal wave based on cross correlation function. Applied Acoustics. 2016;101:98-103. [
LinK] [
DOI:10.1016/j.apacoust.2015.08.015]
Wang W, Xu C, Zhang Y, Zhou Y, Meng S, Deng Y. An improved ultrasonic method for plane stress measurement using critically refracted longitudinal waves. NDT & E International. 2018;99:117-122. [
LinK] [
DOI:10.1016/j.ndteint.2018.07.006]
Zhan Y, Li Y, Zhang E, Ge Y, Liu C. Laser ultrasonic technology for residual stress measurement of 7075 aluminum alloy friction stir welding. Applied Acoustics. 2019;145:52-59. [
LinK] [
DOI:10.1016/j.apacoust.2018.09.010]
ASTM International. ASTM E8 / E8M - 09, Standard Test Methods for Tension Testing of Metallic Materials [Internet]. West Conshohocken: ASTM International; 2009 [Unknown cited]. Available from: https://www.astm.org/DATABASE.CART/HISTORICAL/E8E8M-09.htm. [
LinK]
