Abstract
The effective notch stress approach for evaluating the fatigue strength of rib—deck welds requires notch stress concentration factors obtained from complex finite element analysis. To improve the efficiency of the approach, the notch stress concentration factors for three typical fatigue-cracking modes (i.e., root—toe, root—deck, and toe—deck cracking modes) were thoroughly investigated in this study. First, we developed a model for investigating the effective notch stress in rib—deck welds. Then, we performed a parametric analysis to investigate the effects of multiple geometric parameters of a rib—deck weld on the notch stress concentration factors. On this basis, the multiple linear stepwise regression analysis was performed to obtain the optimal regression functions for predicting the notch stress concentration factors. Finally, we employed the proposed formulas in a case study. The notch stress concentration factors estimated from the developed formulas show agree well with the finite element analysis results. The results of the case study demonstrate the feasibility and reliability of the proposed formulas. It also shows that the fatigue design curve of FAT225 seems to be conservative for evaluating the fatigue strength of rib—deck welds.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Cheng B, Ye X H, Cao X E, Mbako D D, Cao Y S. Experimental study on fatigue failure of rib-to-deck welded connections in orthotropic steel bridge decks. International Journal of Fatigue, 2017, 103: 157–167
Ya S, Yamada K, Ishikawa T. Fatigue evaluation of rib-to-deck welded joints of orthotropic steel bridge deck. Journal of Bridge Engineering, 2011, 16(4): 492–499
Li M, Suzuki Y, Hashimoto K, Sugiura K. Experimental study on fatigue resistance of rib-to-deck joint in orthotropic steel bridge deck. Journal of Bridge Engineering, 2018, 23(2): 04017128
Luo P J, Zhang Q H, Bao Y. Predicting weld root notch stress intensity factors for rib-to-deck welded joint under deck loading modes. International Journal of Fatigue, 2019, 128: 105212
Fu Z Q, Ji B H, Zhang C Y, Wang Q D. Fatigue performance of roof and U-rib weld of orthotropic steel bridge deck with different penetration rates. Journal of Bridge Engineering, 2017, 22(6): 04017016
Dung C V, Sasaki E, Tajima K, Suzuki T. Investigations on the effect of weld penetration on fatigue strength of rib-to-deck welded joints in orthotropic steel decks. International Journal of Steel Structures, 2015, 15(2): 299–310
Hobbacher A. Recommendations for Fatigue Design of Welded Joints and Components. Berlin: Springer International Publishing, 2015.
Radaj D. Design and Analysis of Fatigue Resistant Welded Structures. Cambridge: Woodhead Publishing Series in Welding and Other Joining Technologies, 1990
Neuber H. On the consideration of the stress concentration in strength calculations. Design in Machinery and Equipment Construction, 1968, 20(7): 245–251 (in Deutsch)
Köttgen V B, Olivier R, Seeger T. Fatigue analysis of welded connections based on local stresses. Document IIW XIII-1408–91. Cambridge: Abington Publishing, 1992
Oswald M, Mayr C, Rother K. Determination of notch factors for welded cruciform joints based on numerical analysis and metamodeling. Welding in the World, 2019, 63(5): 1339–1354
Yung J L, Lawrence F V. Analytical and graphical aids for the fatigue design of weldments. Fatigue & Fracture of Engineering Materials & Structures, 1985, 8(3): 223–241
Radaj D, Zhang S. Multiparameter design optimization in respect of stress concentrations. In: Springer-Verlag (ed) engineering optimisation in design processes. Berlin: Springer, 1991, 181–189
Ushirokawa O, Nakayama E. Stress Concentration Factor at Welded Joints. Ishikawajima-Harima Gihou, 1983, 23: 351–355
Terán G, Albiter A, Cuamatzi-Meléndez R. Parametric evaluation of the stress concentration factors in T-butt welded connections. Engineering Structures, 2013, 56: 1484–1495
Brennan F P, Peleties P, Hellier A K. Predicting weld toe stress concentration factors for T and skewed T-joint plate connections. International Journal of Fatigue, 2000, 22(7): 573–584
Pachoud A J, Manso P A, Schleiss A J. New parametric equations to estimate notch stress concentration factors at butt welded joints modeling the weld profile with splines. Engineering Failure Analysis, 2017, 72: 11–24
Wang Q D, Ji B H, Fu Z Q, Yao Y. Effective notch stress approach-based fatigue evaluation of rib-to-deck welds including pavement surfacing effects. International Journal of Steel Structures, 2020, 20(1): 272–286
Wang Q D, Ji B H, Fu Z Q, Ye Z. Evaluation of crack propagation and fatigue strength of rib-to-deck welds based on effective notch stress method. Construction & Building Materials, 2019, 201: 51–61
Park W, Miki C. Fatigue assessment of large-size welded joints based on the effective notch stress approach. International Journal of Fatigue, 2008, 30(9): 1556–1568
Horgan C O, Knowles J K. Recent developments concerning Saint-Venant’s principle. Advances in Applied Mechanics, 1983, 23: 179–269
Yamada K, Ya S. Plate bending fatigue tests for root crack of trough rib of orthotropic steel deck. Journal of Structural Engineering JSCE, 2008, 54: 675–684 (in Japanese)
Samaniego E, Anitescu C, Goswami S, Nguyen-Thanh V M, Guo H, Hamdia K, Zhuang X, Rabczuk T. An energy approach to the solution of partial differential equations in computational mechanics via machine learning: Concepts, implementation and applications. Computer Methods in Applied Mechanics and Engineering, 2020, 362: 112790
Ding Y L, Song Y S, Cao B Y, Wang G X, Li A Q. Full-range S-N fatigue-life evaluation method for welded bridge structures considering hot-spot and welding residual stress. Journal of Bridge Engineering, 2016, 21(12): 04016096
Acknowledgements
This study was sponsored by the National Key Research and Development Project (No. 2017YFE0128700) and the Fundamental Research Funds for the Central Universities (B200203006). The authors acknowledge the supports.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Wang, Q., Ji, B., Fu, Z. et al. Parametric equations for notch stress concentration factors of rib—deck welds under bending loading. Front. Struct. Civ. Eng. 15, 595–608 (2021). https://doi.org/10.1007/s11709-021-0720-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11709-021-0720-1