Reliability Analysis of a Suspension Bridge Affected by Hydrogen Induced Cracking Based upon Response Surface Method

This paper deals with the Hydrogen Induced Cracking (HIC) of wires in a cable of a suspension bridge. The main objective is to compare the safety of a bridge system locally and globally. In a deterministic analysis stage, HIC in cable wires is calculated in order to evaluate the local safety of the main cable of suspension bridge. In the local analysis, a decoupling technique has been developed for the evaluation of crack propagations in a wire section driven by the hydrogen diffusion to a wire section, in terms of two 2-dimensional finite element models. One is for the fracture analysis in a longitudinal section, and the other is for a hydrogen diffusion model in a horizontal section. In a stochastic analysis stage, an ultimate limit state function for the cracking in cable wires is considered for the local safety of main cable. Using the ultimate limit state, the reliability of time-dependent and crack depth-dependent HIC of a cable wire has been calculated in component and parallel system reliability analysis. Globally, a serviceability limit state based on the global responses of a stiffening girder is also evaluated. Based on the observed difference of safeties between the global and local behaviors of the suspension bridge system, the proposed solutions are discussed.

[1]  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 .

[2]  Jesús Toribio,et al.  The role of crack tip strain rate in hydrogen assisted cracking , 1997 .

[3]  Dan M. Frangopol,et al.  Geometrically nonlinear finite element reliability analysis of structural systems. II: applications , 2000 .

[4]  Wen-Ta Tsai,et al.  Environmentally assisted cracking behavior of duplex stainless steel in concentrated sodium chloride solution , 2000 .

[5]  A. Bakker,et al.  Hydrogen transport near a blunting crack tip , 1999 .

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

[7]  R. McMeeking,et al.  Numerical analysis of hydrogen transport near a blunting crack tip , 1989 .

[8]  A. Yokobori,et al.  Numerical analysis on hydrogen diffusion and concentration in solid with emission around the crack tip , 1996 .

[9]  R M Mayrbaurl,et al.  GUIDELINES FOR INSPECTION AND STRENGTH EVALUATION OF SUSPENSION BRIDGE PARALLEL-WIRE CABLES , 2004 .

[10]  R. Barsoum.  On the use of isoparametric finite elements in linear fracture mechanics , 1976 .

[11]  Andrea Carpinteri,et al.  Part-through cracks in round bars under cyclic combined axial and bending loading , 1996 .

[12]  R. A. Oriani,et al.  The diffusion and trapping of hydrogen in steel , 1970 .

[13]  R. Rackwitz,et al.  Structural reliability under combined random load sequences , 1978 .

[14]  H. P. Van Leeuwen,et al.  The kinetics of hydrogen embrittlement: A quantitative diffusion model , 1974 .

[15]  Yukikazu Yanaka,et al.  Maintenance of steel bridges on Honshu-Shikoku crossing , 2002 .

[16]  H. H. Johnson,et al.  Deep trapping states for hydrogen in deformed iron , 1980 .

[17]  Robert E. Melchers,et al.  Effect of response surface parameter variation on structural reliability estimates , 2001 .

[18]  Taejun Cho,et al.  A Prediction Model for Hydrogen Induced Cracking in a Prestressed Wire with a Fracture Analysis , 2008 .

[19]  A. A. Shipkov,et al.  Mechanical aspects of corrosion fatigue and stress corrosion cracking , 2001 .