Abstract
The purpose of this paper is to present the extension of a previously developed strain-based fracture mechanics (SBFM) model from one to two dimensions for simulating fatigue crack growth in steel arc welds. The one-dimensional (1D) SBFM model is first briefly reviewed. Steps for extending it to simulate 2D growth of a semi-elliptical surface crack in a weld are then described. An application of the new model is lastly presented, which consists of analysing the behaviour of structural steel weld specimens from a previously published fatigue test program, in which the fatigue performance of weld specimens was enhanced by high frequency mechanical impact (HFMI) treatment. In this application, the effect of the treatment-induced compressive residual stress on the crack shape is simulated, and it is shown how the extended 2D SBFM model can be used to establish probabilistic design stress-life (S-N) curves for various loading conditions.















Similar content being viewed by others
References
Soyama H, Yamada N (2008) Relieving micro-strain by introducing macro-strain in a polycrystalline metal surface by cavitation shotless peening. Mater Lett 62:3564–3566. https://doi.org/10.1016/j.matlet.2008.03.055
Walker CA, Waddell AJ, Johnston DJ (1995) Vibratory stress relief—an investigation of the underlying processes. Proc Inst Mech Eng E J Process Mech Eng 209:51–58. https://doi.org/10.1243/PIME_PROC_1995_209_228_02
Kuhlmann U, Bergmann J, Dürr A, Thumser R, Günther H-P, Gerth U (2005) Enhancement of the fatigue strength of welded high strength steels by application of post-weld treatment methods. Stahlbau 74:358–365
Walbridge S, Fernando D, Adey BT (2012) Probabilistic models to evaluate effectiveness of steel bridge weld fatigue retrofitting by peening. Transp Res Rec J Transp Res Board 2285:27–35. https://doi.org/10.3141/2285-04
Marquis GB, Barsoum Z (2016) IIW Recommendations on high frequency mechanical impact (HFMI) treatment for improving the fatigue strength of welded joints. In: IIW Recommendations for the HFMI Treatment. Springer, Singapore, pp 1–34
Mikkola E, Remes H, Marquis G (2017) A finite element study on residual stress stability and fatigue damage in high-frequency mechanical impact (HFMI)-treated welded joint. Int J Fatigue 94:16–29
Walbridge S, Nussbaumer A (2007) A probabilistic model for determining the effect of post-weld treatment on the fatigue performance of tubular bridge joints. Int J Fatigue 29:516–532. https://doi.org/10.1016/j.ijfatigue.2006.04.006
El Haddad MH, Topper TH, Smith KN (1979) Prediction of non propagating cracks. Eng Fract Mech 11:573–584. https://doi.org/10.1016/0013-7944(79)90081-X
Khalil M, Topper TH (2003) Prediction of crack-opening stress levels for 1045 as-received steel under service loading spectra. Int J Fatigue 25:149–157. https://doi.org/10.1016/S0142-1123(02)00072-5
Dabayeh AA, Berube AJ, Topper TH (1998) An experimental study of the effect of a flaw at a notch root on the fatigue life of cast Al 319. Int J Fatigue 20:517–530. https://doi.org/10.1016/S0142-1123(98)00020-6
Walbridge S (2008) Fatigue analysis of post-weld fatigue improvement treatments using a strain-based fracture mechanics model. Eng Fract Mech 75:5057–5071. https://doi.org/10.1016/j.engfracmech.2008.07.002
Ranjan R, Ghahremani K, Walbridge S, Ince A (2016) Testing and fracture mechanics analysis of strength effects on the fatigue behavior of HFMI-treated welds. Weld World 60:987–999. https://doi.org/10.1007/s40194-016-0354-4
Dowling N (2007) Mechanical behaviour of materials. Pearson Education Inc., Upper Saddle River
Newman JC (1984) A crack opening stress equation for fatigue crack growth. Int J Fract 24:R131–R135. https://doi.org/10.1007/BF00020751
Wang CH, Rose LRF, Newman JC (2002) Closure of plane-strain cracks under large-scale yielding conditions. Fatigue Fract Eng Mater Struct 25:127–139. https://doi.org/10.1046/j.8756-758x.2002.00483.x
McClung RC (1994) Finite element analysis of specimen geometry effects on fatigue crack closure. Fatigue Fract Eng Mater Struct 17:861–872. https://doi.org/10.1111/j.1460-2695.1994.tb00816.x
Glinka G, Shen G (1991) Universal features of weight functions for cracks in mode I. Eng Fract Mech 40:1135–1146. https://doi.org/10.1016/0013-7944(91)90177-3
Shen G, Plumtree A, Glinka G (1991) Weight function for the surface point of semi-elliptical surface crack in a finite thickness plate. Eng Fract Mech 40:167–176. https://doi.org/10.1016/0013-7944(91)90136-O
Zheng XJ, Glinka G, Dubey RN (1996) Stress intensity factors and weight functions for a corner crack in a finite thickness plate. Eng Fract Mech 54:49–61. https://doi.org/10.1016/0013-7944(95)00171-9
Conle A, Oxland TR, Topper TH (1988) Computer-based prediction of cyclic deformation and fatigue behavior. In Low cycle fatigue. Am Soc Test Mater Int 1218–1236
Anthes RJ (1997) Modified rainflow counting keeping the load sequence. Int J Fatigue 19:529–535. https://doi.org/10.1016/S0142-1123(97)00078-9
Ranjan R (2019) Probabilistic strain-based fracture mechanics analysis of weldments. UWSpace. http://hdl.handle.net/10012/14873
Ghahremani K, Walbridge S, Topper T (2015) High cycle fatigue behaviour of impact treated welds under variable amplitude loading conditions. Int J Fatigue 81:128–142. https://doi.org/10.1016/j.ijfatigue.2015.07.022
Ghahremani K (2015) Fatigue assessment of repaired highway bridge welds using local approaches. UWSpace. http://hdl.handle.net/10012/9455
Maddox SJ (1975) An analysis of fatigue cracks in fillet welded joints. Int J Fract 11:221–243. https://doi.org/10.1007/BF00038890
Ghahremani K, Walbridge S (2011) Fatigue testing and analysis of peened highway bridge welds under in-service variable amplitude loading conditions. Int J Fatigue 33:300–312. https://doi.org/10.1016/j.ijfatigue.2010.09.004
Tehrani Yekta R, Ghahremani K, Walbridge S (2013) Effect of quality control parameter variations on the fatigue performance of ultrasonic impact treated welds. Int J Fatigue 55:245–256. https://doi.org/10.1016/j.ijfatigue.2013.06.023
Lotsberg I, Sigurdsson G, Wold PT (2002) Probabilistic inspection planning of the Åsgard A FPSO Hull Structure With Respect to Fatigue. J Offshore Mech Arct Eng 122:134–140. https://doi.org/10.1115/1.533735
BS Institution (2005) Guide to methods for assessing the acceptability of flaws in metallic structures. BSI Stand Publ. https://doi.org/10.1007/s13398-014-0173-7.2
Brückner A, Munz D (1983) Curve fitting to defect size distributions for the calculation of failure probabilities. Nucl Eng Des 74:75–78. https://doi.org/10.1016/0029-5493(83)90140-1
Righiniotis TD, Chryssanthopoulos MK (2003) Probabilistic fatigue analysis under constant amplitude loading. J Constr Steel Res 59:867–886. https://doi.org/10.1016/S0143-974X(03)00002-6
JCSS (2011) JCSS probabilistic model code part 3: resistance models
Funding
Support for this research provided by the NSERC Discovery Grant of the second author is gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Recommended for publication by Commission XIII - Fatigue of Welded Components and Structures
Rights and permissions
About this article
Cite this article
Ranjan, R., Walbridge, S. 2D fracture mechanics analysis of HFMI treatment effects on the fatigue behaviour of structural steel welds. Weld World 65, 1805–1819 (2021). https://doi.org/10.1007/s40194-021-01120-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s40194-021-01120-4