Skip to main content
Log in

Residual stress relief of welded joints by mechanical vibrations

  • Technical Paper
  • Published:
Journal of the Brazilian Society of Mechanical Sciences and Engineering Aims and scope Submit manuscript

Abstract

Stress relief treatment based on mechanical vibrations is a technology that stands out for being an alternative to conventional thermal treatments and also due to its effectiveness for materials with heterogeneous structures. In this context, the application of this technique in welded joints has great potential for reducing residual stresses. This research presents some analyses of the effectiveness of surface residual stress relief treatment by mechanical vibrations using random excitations applied on plasma welded joints. Residual stresses were analysed by the X-ray diffraction technique with the sin2 ψ method. Measurement uncertainties are taken into account in the computation of the reduction of residual stresses via Monte Carlo simulation analyses. A significant reduction in the residual stresses magnitudes, around 40 %, in the longitudinal direction was observed after the application of mechanical vibration treatments stress. In the transversal direction, most of the test specimens presented reduction levels around 20 %.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Abbreviations

σ :

Residual stress reduction level (%)

\( {\hat{\sigma }}^{{\left( \text{b} \right)}} \) :

Stress measured before the vibratory motion

\( {\hat{\sigma }}^{{\left( \text{a} \right)}} \) :

Stress measured after the vibratory motion

\( \left[ {\hat{\sigma } - S_{\sigma } , - S_{\sigma , } } \right] \) :

\( \left( {1 - \alpha } \right) \times 100\;\% \) confidence interval for σ

\( \uplambda_{\text{b}}^{\text{2}} \) :

Variance of the random variable σ(b)

\( \uplambda_{\text{a}}^{\text{2}} \) :

Variance of the random variable σ(a)

\( \text{S}_{\upsigma}^{{\left( \text{b} \right)}} \) :

Half-bandwidth of the confidence interval for the measured stress before the vibratory motion

\( \text{S}_{\upsigma}^{{\left( \text{a} \right)}} \) :

Half-bandwidth of the confidence interval for the measured stress after the vibratory motion

\( \pi\left( {z} \right) \) :

Pdf of the random variable z

\( z \sim N\left( {\mu ,\lambda^{2} } \right) \) :

Z follows a Gaussian distribution with mean μ and variance \( \lambda^{\text{2}} \)

RS:

Residual stress

HAZ:

Heat-affected zone

PAW:

Plasma arc welding

GTAW:

Gas tungsten arc welding

FZ:

Fused zone

References

  1. Heinze C, Schwenk C, Rethmeier M (2012) Numerical calculation of residual stress development of multi-pass gas metal arc welding. J Constr Steel Res 72:12–19

    Article  Google Scholar 

  2. Pedrosa PD, Rebello JMA, Cindra Fonseca MP (2011) Residual stress state behaviour under fatigue loading in duplex stainless steel. J Strain Anal Eng 46:298–303

    Article  Google Scholar 

  3. Toparli MB, Fitzpatrick ME, Gungor S (2013) Improvement of the contour method for measurement of near-surface residual stresses from laser peening. Exp Mech 53:1705–1708

    Article  Google Scholar 

  4. Withers P, Bhadeshia H (2001) Residual stress Part 1—measurement techniques. Mat Sci Tech Res. 17:355–365

    Article  Google Scholar 

  5. Kwofie S (2009) Plasticity model for simulation, description and evaluation of vibratory stress relief. Mat Sci Eng A-Struct 516:154–161

    Article  Google Scholar 

  6. Aoki S, Nishimura T, Hiroi T (2005) Reduction method for residual stress of welded joint using random vibration. Nucl Eng Des 235(14):1441–1445

    Article  Google Scholar 

  7. Sun MC, Sun YH, Wang RK (2004) The vibratory stress relief of a marine shafting of 35# bar steel. Mater Lett 58:299–303

    Article  Google Scholar 

  8. Zhang YM, Liu YC (2007) Control of dynamic keyhole welding process. Automatica 43:876–884

    Article  MathSciNet  MATH  Google Scholar 

  9. Ureña A, Otero E, Utrilla MV, Múnez CJ (2007) Weldability of a 2205 duplex stainless steel using plasma arc welding. J Mater Process Tech 182:624–631

    Article  Google Scholar 

  10. Wyatt JE, Berry JT (2006) A new technique for the determination of superficial residual stresses associated with machining and other manufacturing processes. J Mater Process Tech 171:132–140

    Article  Google Scholar 

  11. Winholtz RA, Cohen JB (1988) Generalized least-squares determination of triaxial stress states by X-ray diffraction and the associated errors. Aust J Phys 41:189–199

    Article  Google Scholar 

  12. Society of Automotive Engineers. J2745. (2007) Categorization and properties of advanced high strength automotive sheet steels. Warrendale, PA, USA

  13. Bayraktar E, Kaplan D, Buirette C, Grumbach M (2004) Application of impact tensile testing to welded thin sheets. J Mater Process Tech 145:27–39

    Article  Google Scholar 

  14. Fitzpatrick ME, Fry AT, Holdway P, Kandil, FA, Shackleton J, Suominen L (2005) Determination of residual stresses by X-ray diffraction—issue 2. Measurement Good Practice Guide 52, UK

  15. Casella G, Berger RL (2001) Statistical Inference. Ithaca, NY

    MATH  Google Scholar 

  16. Ka-Veng Y (2010) Bayesian methods for structural dynamics and civil engineering. Wiley, Singapore

    Google Scholar 

  17. Papoulis A, Pillai SU (2002) Probability, random variables and stochastic processes, 2nd edn. McGraw-Hill, USA

    Google Scholar 

Download references

Acknowledgments

The authors would like to express their gratitude to the Brazilian National Council for Scientific and Technological Development (CNPq) due to the Grant 483391/2013-1, to CAPES due to Grant BEX 1197/2014, to FAPERJ and to USIMAS for providing the DP600 steel.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Daniel A. Castello.

Additional information

Technical Editor: Alexandre Mendes Abrao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Chuvas, T.C., Castello, D.A. & Cindra Fonseca, M.P. Residual stress relief of welded joints by mechanical vibrations. J Braz. Soc. Mech. Sci. Eng. 38, 2449–2457 (2016). https://doi.org/10.1007/s40430-016-0516-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40430-016-0516-8

Keywords

Navigation