Probabilistic S-N curves for CFRP retrofitted steel details
Source abstract
Abstract
Abstract Experimental fatigue data of non-cracked open-hole steel specimens retrofitted with bonded carbon fiber reinforced polymer (CFRP) are collected from the literature and assessed in this paper. The specimens are representative of steel plates in tensile riveted or bolted connections. The CFRP substantially extends the fatigue life of specimens at stress range Δ σ 220 M P a where the fatigue data points converge towards a fatigue limit. These are promising results since most of the ancient metallic riveted assemblies are subjected to stress levels below 150 MPa. The fatigue life extension ratio decreases when the stress level increases due to the fatigue degradation of the bonding joint and/or the CFRP. The fatigue data of specimens retrofitted with CFRP follow a nonlinear trend and code-based linear S-N curves with a slope m = 3 do not capture this behavior. The commonly used methods that assume the fatigue life extension ratio as constant are not adequate to predict the full fatigue life of CFRP retrofitted specimens. To assess the fatigue behavior of the CFRP retrofitted specimens, probabilistic methods are adopted in this study using: the Normal distribution; the two-parameter Weibull; the Gumbel; and the three-parameter Weibull model developed by Castillo & Fernandez-Canteli (CFC). Regardless of the assumed distribution function, linear probabilistic S-N curves (P-S-N) are not adequate to model the complex behavior of retrofitted specimens with CFRP. The nonlinear CFC model fitted fairly well the different trends of the fatigue data including the fatigue life at high cycle regime and captured the transition between medium–high cycle range. P-S-N curves derived using the CFC model are proposed for CFRP retrofitted specimens.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Structural Behavior of Reinforced Concrete · Mechanical Behavior of Composites · Fatigue and fracture mechanics
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (68)
Show source-provided references
1. Strengthening of a steel railway bridge and its impact on the dynamic response to passing trains10.1016/j.engstruct.2010.11.022 ↗
2. Crocetti · 2001
3. Akesson · 1994
4. Mohammad · 2002
5. Strengthening of steel structures with fiber-reinforced polymer composites10.1016/j.jcsr.2012.06.011 ↗
6. FRP strengthening systems for metallic structures: a state of the art
7. State-of-the-art review on FRP strengthened steel structures10.1016/j.engstruct.2006.10.006 ↗
8. Repair of riveted bridge members damaged by fatigue using CFRP materials
9. Strengthening of steel girder bridges using FRP
10. Strengthening a steel bridge with CFRP composites10.1680/stbu.2007.160.2.81 ↗
11. Fatigue strengthening of steel bridges with adhesively bonded CFRP laminates: case study10.1061/(ASCE)CC.1943-5614.0001014 ↗
12. Adhesively bonded CFRP composites for steel strengthening : an overview
13. The use of carbon fibre plates for the strengthening oftwo metallic bridges of an historic nature in the UK
14. Harries KA. Editor’s Note – Chock Full O’ case studies west. In: FRP International, vol. 8, no. 3, 2011. p. 1–14.
15. E. C. for S. CEN. Eurocode 3: Design of steel structures - Part 1-9: Fatigue. 2005. doi: 10.2514/2.2772.10.2514/2.2772 ↗
16. Application of fiber reinforced polymer overlays to extend steel fatigue life10.1061/(ASCE)1090-0268(2003)7:4(331) ↗
17. Fatigue strengthening of cracked steel plates with CFRP laminates in the case of old steel material10.1016/j.conbuildmat.2018.04.063 ↗
18. Experimental study of fatigue crack growth behaviour in adhesively reinforced steel structures10.1016/j.compstruct.2009.02.016 ↗
19. Fatigue behavior of cracked steel plates strengthened with different CFRP systems and configurations10.1061/(ASCE)CC.1943-5614.0000647 ↗
20. Effect of initial damage level and patch configuration on the fatigue behaviour of reinforced steel plates10.1111/ffe.12238 ↗
21. Fatigue crack growth in CFRP-strengthened steel plates10.1016/j.compositesb.2014.11.036 ↗
22. Tests on cracked steel plates with different damage levels strengthened by CFRP laminates10.1142/S0219455414500187 ↗
23. Fatigue behaviour of CFRP strengthened steel plates with different degrees of damage10.1016/j.tws.2013.03.012 ↗
24. Effect of crack orientation on fatigue behavior of CFRP-strengthened steel plates10.1016/j.compstruct.2016.05.033 ↗
25. Fatigue tests on UHM-CFRP strengthened steel plates with central inclined cracks under different damage levels10.1016/j.compstruct.2016.10.122 ↗
26. Determination of minimum CFRP pre-stress levels for fatigue crack prevention in retrofitted metallic beams10.1016/j.engstruct.2014.11.017 ↗
27. A retrofit theory to prevent fatigue crack initiation in aging riveted bridges using carbon fiber-reinforced polymer materials
28. Ghafoori E. et al. A strengthening theory to prevent fatigue crack initiation in old metallic bridges. In: Maintenance, Monit. Safety, Risk Resil. Bridg. Bridg. Networks - Proc. 8th Int. Conf. Bridg. Maintenance, Saf. Manag. IABMAS 2016, no. June, 2016.10.1201/9781315207681-127 ↗
29. Fatigue design criteria for strengthening metallic beams with bonded CFRP plates10.1016/j.engstruct.2015.07.048 ↗
30. CFRP reinforcing to extend the fatigue lives of steel structures
31. Lifetime prediction of aluminium structures reinforced with composite patches10.1016/j.ijfatigue.2008.11.009 ↗
32. On the fatigue response of aluminium specimens reinforced with carbon-epoxy patches10.1016/j.compstruct.2007.10.038 ↗
33. Fatigue behaviour of CFRP strengthened open-hole steel plates10.1016/j.tws.2017.02.015 ↗
34. Officials A. American Association of State Highway and Transportation. Standard Specifications for Highway Bridges, 16th Ed. Washington, D.C., 2000.
35. Geklebte CFK-Lamellen verstärken Stahlbauteile10.1007/s35145-016-0039-6 ↗
36. Fatigue design of CFRP strengthened steel members10.1016/j.tws.2017.06.029 ↗
37. Numerical investigation on the fatigue life of non- cracked metallic plates repaired with bonded CFRP
38. ISO 12107. Metallic materials — Fatigue testing — Statistical planning and analysis of data - ISO 12107. Test, 2003. p. 13.
39. A statistical distribution function of wide applicability10.1115/1.4010337 ↗
40. Gumbel E. Les valeurs extrêmes des distributions statistiques. 1935;5(2):115–158.
41. Castillo · 2009
42. Statistical evaluation of fatigue strength of double shear riveted connections and crack growth rates of materials from old bridges10.1016/j.engfracmech.2017.05.039 ↗
43. Applying the Weibull and Stüssi methods that derive reliable Wöhler curves to historical German bridges10.1061/(ASCE)SC.1943-5576.0000506 ↗
44. Statistical distribution functions and fatigue of structures10.1016/j.ijfatigue.2005.03.001 ↗
45. Fatigue properties
46. Probabilistic S-N fields based on statistical distributions applied to metallic and composite materials: State of the art10.1177/1687814019870395 ↗
47. The exponential law of endurance tests
48. Schneider C, Maddox SJ. Best practice guide on statistical analysis of fatigue data. Apr. 2002.
49. ASTM. Standard practice for statistical analysis of linear or linearized stress-life (S-N) and strain-life (-N) fatigue data 1. E739 – 10. 2012;i(Reapproved):1–7. doi: 10.1520/E0739-10.2.
50. Reliability of fatigue strength curves for riveted connections using normal and Weibull distribution Functions
51. A probabilistic fatigue approach for riveted joints using Monte Carlo simulation10.1016/j.jcsr.2015.02.019 ↗
52. A model of the fatigue life distribution of composite laminates based on their static strength distribution10.1016/S1000-9361(08)60031-X ↗
53. Obtaining S-N curves from crack growth curves: An alternative to self-similarity10.1007/s10704-014-9928-6 ↗
54. Modified CCS fatigue crack growth model for the AA2019-T851 based on plasticity-induced crack-closure10.1016/j.tafmec.2016.08.024 ↗
55. De Jesus AMP, Ruiz Ripoll ML, Gonçalves NJ, Pereira HFSG. Probabilistic fatigue assessment of a notched detail taking into account mean stress effects. In: ASME 2010 Pressure Vessels and Piping Conference: Volume 6, Parts A and B, Jan. 2010, p. 51–60, doi: 10.1115/PVP2010-25056.10.1115/PVP2010-25056 ↗
56. Statistical analysis of the influence of defects on fatigue life using a Gumbel distribution10.1016/j.ijfatigue.2018.03.008 ↗
57. Analysis of the fatigue life estimators of the materials using small samples10.1177/0309324718782245 ↗
58. Probabilistic S-N curves using exponential and power laws equations10.1016/j.compositesb.2013.08.036 ↗
59. Estimating Parameters of Gumbel Distribution using the Methods of Moments, probability weighted Moments and maximum likelihood
60. Probability weighted moments: Definition and relation to parameters of several distributions expressable in inverse form10.1029/WR015i005p01049 ↗
61. Parameter and quantile estimation for the generalized extreme-value distribution10.1002/env.3170050405 ↗
62. Profatigue: A software program for probabilistic assessment of experimental fatigue data sets10.1016/j.proeng.2014.06.255 ↗
63. A methodology for probabilistic prediction of fatigue crack initiation taking into account the scale effect10.1016/j.engfracmech.2017.04.014 ↗
64. Three-dimensional linear elastic distributions of stress and strain energy density ahead of V-shaped notches in plates of arbitrary thickness10.1023/B:FRAC.0000036846.23180.4d ↗
65. On higher order terms and out-of-plane singular mode10.1016/j.mechmat.2011.03.004 ↗
66. Generalized probabilistic model allowing for various fatigue damage variables10.1016/j.ijfatigue.2017.03.031 ↗
67. Evaluation and comparison of critical plane criteria for multiaxial fatigue analysis of ductile and brittle materials10.1016/j.ijfatigue.2018.03.028 ↗
68. Fatigue crack growth modelling for cracked small-scale structural details repaired with CFRP10.1016/j.tws.2021.107525 ↗