Probabilistic Fatigue Life Prediction of Bridge Cables Based on Multiscaling and Mesoscopic Fracture Mechanics

Fatigue fracture of bridge stay-cables is usually a multiscale process as the crack grows from micro-scale to macro-scale. Such a process, however, is highly uncertain. In order to make a rational prediction of the residual life of bridge cables, a probabilistic fatigue approach is proposed, based on a comprehensive vehicle load model, finite element analysis and multiscaling and mesoscopic fracture mechanics. Uncertainties in both material properties and external loads are considered. The proposed method is demonstrated through the fatigue life prediction of cables of the Runyang Cable-Stayed Bridge in China, and it is found that cables along the bridge spans may have significantly different fatigue lives, and due to the variability, some of them may have shorter lives than those as expected from the design.

[1]  Qian Dong-sheng.  On Fatigue and Fracture of Steel Bridges , 2009 .

[2]  J. Razmi.  Fracture Mechanics-Based and Continuum Damage Modeling Approach for Prediction of Crack Initiation and Propagation in Integral Abutment Bridges , 2016, J. Comput. Civ. Eng..

[3]  G. Sih.  Multiscale fatigue crack initiation and propagation of engineering materials : structural integrity and microstructural worthiness : fatigue crack growth behaviour of small and large bodies , 2008 .

[4]  Invariant Form of Micro-/Macro-Cracking in Fatigue , 2008 .

[5]  Xu Xie,et al.  Static and Dynamic Characteristics of a Long-Span Cable-Stayed Bridge with CFRP Cables , 2014, Materials.

[6]  P. H. Wirsching,et al.  Fatigue Under Wide Band Random Stresses Using the Rain-Flow Method , 1977 .

[7]  Paolo Basso,et al.  Fatigue reliability assessment of a historic railway bridge designed by Gustave Eiffel , 2015 .

[8]  X. S. Tang,et al.  An energy density zone model for fatigue life prediction accounting for non-equilibrium and non-homogeneity effects , 2015 .

[9]  Jesús Toribio,et al.  Micro- and macro-approach to the fatigue crack growth in progressively drawn pearlitic steels at different R-ratios , 2009 .

[10]  T. Guo,et al.  FATIGUE RELIABILITY ASSESSMENT OF ORTHOTROPIC STEEL BRIDGE DECKS BASED ON PROBABILISTIC MULTI-SCALE FINITE ELEMENT ANALYSIS , 2015 .

[11]  Claudio Modena,et al.  Influence of fatigue on cable arrangement in cable-stayed bridges , 2012 .

[12]  Andrzej S. Nowak,et al.  BRIDGE LIVE-LOAD MODELS , 1991 .

[13]  G. C. Sih,et al.  Micro/macro-crack growth due to creep–fatigue dependency on time–temperature material behavior , 2008 .

[14]  Vigilio Fontanari,et al.  Fire behavior of steel wire ropes: Experimental investigation and numerical analysis , 2015 .

[15]  G. C. Sih,et al.  Fatigue Crack Growth Rate of Cable-Stayed Portion of Runyang Bridge: Part II – Steel Wire Crack Growth Due to Disproportionate Cable Tightening/Loosening and Traffic Loading , 2008 .

[16]  C. X. Li,et al.  Fatigue crack growth of cable steel wires in a suspension bridge: Multiscaling and mesoscopic fracture mechanics , 2010 .

[17]  Ming Gu,et al.  Fatigue life estimation of steel girder of Yangpu cable-stayed Bridge due to buffeting , 1999 .

[18]  X. S. Tang,et al.  Microscopic inhomogeneity coupled with macroscopic homogeneity: A localized zone of energy density for fatigue crack growth , 2015 .

[19]  Chengming Lan,et al.  Experimental and Numerical Study of the Fatigue Properties of Corroded Parallel Wire Cables , 2012 .

[20]  Songye Zhu,et al.  Probabilistic deterioration model of high-strength steel wires and its application to bridge cables , 2015 .

[21]  I. Sevostianov,et al.  On quantitative characterization of microstructures and effective properties , 2005 .

[22]  Sandeep Kumar,et al.  Appl. Sci , 2013 .

[23]  L. Ladani.  Successive Softening and Cyclic Damage in Viscoplastic Material , 2010 .

[24]  Mohammad Modarres,et al.  A probabilistic physics-of-failure model for prognostic health management of structures subject to pitting and corrosion-fatigue , 2011, Reliab. Eng. Syst. Saf..

[25]  Asymptotic micro-stress field dependency on mixed boundary conditions dictated by micro-structural asymmetry: Mode I macro-stress loading , 2006 .

[26]  M. Stein.  Large sample properties of simulations using latin hypercube sampling , 1987 .

[27]  Tong Guo,et al.  Fatigue reliability assessment of steel bridge details integrating weigh-in-motion data and probabilistic finite element analysis , 2012 .

[28]  J Johan Maljaars,et al.  Fatigue failure analysis of stay cables with initial defects: Ewijk bridge case study , 2014 .

[29]  Adrian T. Ciolko,et al.  Evaluation, Rehabilitation Planning, and Stay-Cable Replacement Design for the Hale Boggs Bridge in Luling, Louisiana , 2010 .

[30]  Karl H. Frank,et al.  STAY-CABLE FATIGUE BEHAVIOR , 1991 .

[31]  J. Llorca,et al.  FATIGUE LIMIT AND FATIGUE LIFE PREDICTION IN HIGH STRENGTH COLD DRAWN EUTECTOID STEEL WIRES , 1989 .

[32]  Jaroslav Polák,et al.  Short crack growth and fatigue life in austenitic‐ferritic duplex stainless steel , 2005 .

[33]  R. Rackwitz,et al.  Aspects of parallel wire cable reliability , 2003 .

[34]  Lorrie Molent,et al.  A comparison of crack growth behaviour in several full-scale airframe fatigue tests , 2007 .

[35]  Hong-Zhong Huang,et al.  Probabilistic Low Cycle Fatigue Life Prediction Using an Energy-Based Damage Parameter and Accounting for Model Uncertainty , 2012 .

[36]  G. C. Sih,et al.  Fatigue crack growth behavior of cables and steel wires for the cable-stayed portion of Runyang bridge: Disproportionate loosening and/or tightening of cables , 2008 .

[37]  K. M. Mahmoud,et al.  Fracture strength for a high strength steel bridge cable wire with a surface crack , 2007 .

[39]  Dan M. Frangopol,et al.  Bridge fatigue reliability assessment using probability density functions of equivalent stress range based on field monitoring data , 2010 .

[40]  Wei-Xin Ren.  ULTIMATE BEHAVIOR OF LONG-SPAN CABLE-STAYED BRIDGES , 1999 .

[41]  Denys Breysse,et al.  A probabilistic multi-scale time dependent model for corroded structural suspension cables , 2006 .