Calculation of Relaxation of Residual Stress and Change of Yield Strength in Shot Peened Layer


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Residual stresses distribution after shot peening and its relaxation during uni-axial loading were investigated experimentally and theoretically on stainless steel of AISI304. An analytical model was proposed based upon continuum plasticity theory and elasto-plasticity finite element (FE) analysis, in which both relaxation of shot peening induced residual stress and variation of yield strength in the surface layer were taken into consideration. The results show that the value of yield strength in surface layer is altered after shot peening, and the relaxation of residual stress takes place at the point where the combination of applied strain and residual strain exceeds the true value of yield strength. A fundamental agreement was proved between measurements and predictions in simple tension and compression.



Materials Science Forum (Volumes 490-491)

Edited by:

Sabine Denis, Takao Hanabusa, Bob Baoping He, Eric Mittemeijer, JunMa Nan, Ismail Cevdet Noyan, Berthold Scholtes, Keisuke Tanaka, KeWei Xu




Y. H. Li et al., "Calculation of Relaxation of Residual Stress and Change of Yield Strength in Shot Peened Layer", Materials Science Forum, Vols. 490-491, pp. 396-403, 2005

Online since:

July 2005




[1] H. Holzapfel, V. Schulze, O. Vöhringer, E. Macherauch, Residual stress relaxation in an AISI 4140 steel due to quasistatic and cyclic loading at higher temperatures, Materials Science and Engineering A248 (1998) 9-18.


[2] Wyman Z. Zhuang, Gary R. Halford, Investigation of residual stress relaxation under cyclic load, International Journal of Fatigue 23 (2001) S31-S37.


[3] Erhard Krempl, Relaxation behavior and modeling, International Journal of Plasticity 17(2001) 1419-1436.


[4] A. Wick, V. Schulze, O. Vöhringer, Effects of warm peening on fatigue life and relaxation behaviour of residual stresses in AISI 4140 steel, Materials Science and Engineering A293 (2000) 191-197.


[5] D.J. Smith, G.H. Farrahi, W.X. Zhu, C.A. McMahon, Experimental measurement and finite element simulation of the interaction between residual stresses and mechanical loading, International Journal of Fatigue 23 (2001) 293-302.


[6] E. Macherauch, Introduction to Residual Stress, Advances in Surface Treatments: TechnologyApplications-Effects, ed. A Niku-Lari, Pergamon Press, 1987, 1-36.