Trans-Scale Computational Model for Fatigue Behavior Simulation of Orthotropic Steel Decks
Publication: Journal of Aerospace Engineering
Volume 31, Issue 4
Abstract
A new three-dimensional trans-scale crack growth model, developed from the microscale to macroscale, is presented based on the concept of restraining stress zone. It aims to simulate the growth behaviors of fatigue cracks in a welded joint of orthotropic steel decks. In the study, the crack shape was first simplified as a semielliptical surface crack, and analyzed in a finite-element mode considering the trans-scale stress intensity factors (SIFs). Subsequently, the trans-scale SIFs served as controlling parameters for the propagation of fatigue crack from the microscale to macroscale. The proposed model can simulate the overall process of fatigue failure of orthotropic steel deck details. Comparison between numerical simulations and results from the experimental curves given in the literature provides two conclusions: (1) the three-dimensional trans-scale crack growth model accurately depicts the trans-scale behaviors of fatigue failure of the weld joint between the longitudinal ribs and deck plate of the orthotropic steel deck; and (2) the model well explained the scatter phenomenon of the fatigue test data due to the microscopic effects. In addition, the initial microdefects have a significant influence on the fatigue life, and the microscopic effects in a fatigue process can be considered by the proposed model.
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Acknowledgments
The authors gratefully acknowledge the financial support provided by the National Basic Research Program of China (973 Program) (Project No. 2015CB057705), the Natural Science Foundation China (Project No. 51378081), and the Fund of Hunan Provincial Youth Talent (Project No. 2015RS4052).
References
Ahn, J. H., S. H. Kim, and Y. J. Jeong. 2007. “Fatigue experiment of stud welded on steel plate for a new bridge deck system.” Steel Compos. Struct. 7 (5): 391–404.
CEN (European Committee for Standardization). 2005. Eurocode 3: Design of steel structures, part 1-9: Fatigue. BS EN 1993-1-9. Brussels, Belgium: CEN.
Chen, H. J., T. H. Liu, C. W. Tang, and W. P. Tsai. 2011. “Influence of high-cycle fatigue on the tension stiffening behavior of flexural reinforced lightweight aggregate concrete beams.” Struct. Eng. Mech. 40 (6): 847–866.
Deng, Y., Y. L. Ding, A. Q. Li, and G. Zhou. 2011. “Fatigue reliability assessment for bridge welded details using long-term monitoring data.” Sci. China Technol. Sci. 54 (12): 3371–3381.
Fisher, J. W., and J. M. Barsom. 2016. “Evaluation of cracking in the rib-to-deck welds of the Bronx–Whitestone bridge.” J. Bridge Eng. 21 (3): 04015065.
Guo, T., Z. X. Liu, and J. S. Zhu. 2015. “Fatigue reliability assessment of orthotropic steel bridge decks based on probabilistic multi-scale finite element analysis.” Adv. Steel Constr. 11 (3): 334–346.
Ke, L., X. L. Wang, S. Y. Cao, and Q. P. Chen. 2015. “Fatigue behavior of concrete beams reinforced with HRBF500 steel bars.” Struct. Eng. Mech. 53 (2): 311–324.
Kwak, K. H., and J. G. Park. 2001. “Shear-fatigue behavior of high-strength reinforced concrete beams under repeated loading.” Struct. Eng. Mech. 11 (3): 301–314.
Liu, Y., N. Lu, X. Yin, and M. Noori. 2016a. “An adaptive support vector regression method for structural system reliability assessment and its application to a cable-stayed bridge.” Proc. Inst. Mech. Eng. Part O: J. Risk Reliab. 230 (2): 204–219.
Liu, Y., X. Xiao, N. Lu, and Y. Deng. 2016b. “Fatigue reliability assessment of orthotropic bridge decks under stochastic truck loading.” Shock Vib. 2016: 4712593.
Lu, N., M. Noori, and Y. Liu. 2017. “Fatigue reliability assessment of welded steel bridge decks under stochastic truck loads via machine learning.” J. Bridge Eng. 22 (1): 04016105.
Miner, M. A. 1945. “Cumulative damage in fatigue.” J. Appl. Mech. 12 (3): 159–164.
Paris, P. C. 1962. “The growth of cracks due to variations in load.” Ph.D. dissertation, Dept. of Mechanical Engineering and Mechanics, Lehigh Univ.
Samol, Y., Y. Kentaro, and I. Toshiyuki. 2011. “Fatigue evaluation of rib-to-deck welded joints of orthotropic steel bridge deck.” J. Bridge Eng. 16 (4): 492–499.
Shah, R. C., and A. S. Kobayashi. 1972. “On the surface flaw problem.” In Proc., Symp. on the Surface Crack: Physical Problems and Computational Solutions. New York: ASME.
Sih, G. C. 2008. Multiscale fatigue crack initiation and propagation of engineering materials: Structural integrity and microstructural worthiness. New York: Springer.
Sih, G. C., and X. S. Tang. 2004. “Dual scaling damage model associated with weak singularity for macroscopic crack possessing a micro-/mesoscopic notch tip.” Theor. Appl. Fract. Mech. 42 (1): 1–24.
Sih, G. C., and X. S. Tang. 2005. “Triple scale segmentation of non-equilibrium system simulated by macro-micro-atomic line model with mesoscopic transitions.” Theor. Appl. Fract. Mech. 44 (2): 116–145.
Sih, G. C., and X. S. Tang. 2006. “Asymptotic micro-stress field dependency on mixed boundary conditions dictated by micro-structural asymmetry: Mode I macro-stress loading.” Theor. Appl. Fract. Mech. 46 (1): 1–14.
Sim, H. B., C. M. Uang, and C. Sikorsky. 2009. “Effects of fabrication procedures on fatigue resistance of welded joints in steel orthotropic decks.” J. Bridge Eng. 14 (5): 366–373.
Tang, X. S. 2014. “Scatter of fatigue data owing to material microscopic effects.” Sci. China Phys. Mech. Astron. 57 (1): 90–97.
Tang, X. S., and G. C. Sih. 2005. “Weak and strong singularities reflecting multiscale damage: Micro-boundary conditions for free-free, fixed-fixed and free-fixed constraints.” Theor. Appl. Fract. Mech. 43 (1): 45–62.
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©2018 American Society of Civil Engineers.
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Received: May 25, 2017
Accepted: Nov 13, 2017
Published online: Mar 30, 2018
Published in print: Jul 1, 2018
Discussion open until: Aug 30, 2018
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