Calibration of a Cyclic Cohesive-Zone Model for Fatigue-Crack Propagation in CFRP-Strengthened Steel Plates
Publication: Journal of Composites for Construction
Volume 26, Issue 5
Abstract
Various carbon fiber–reinforced polymer (CFRP) strengthening systems have been developed to increase the fatigue lifetime of existing aging steel structures. According to the literature, the results of fatigue tests on CFRP-strengthened steel plates showed a significant increase in the fatigue lifetime of the specimens, compared with the bare ones. In particular, the fatigue lifetime extension was more pronounced for short initial crack sizes (i.e., low initial damage level). In this study, the fatigue-crack growth curves in bonded CFRP-strengthened single edge notched tension (SENT) specimens were numerically investigated. The proposed numerical approach adopted a cyclic cohesive-zone model (CCZM), which enabled the simulation of crack growth in steel plates, through the definition of a scalar damage variable (k). The selected model contained some parameters that did not possess a precise physical meaning and therefore were not amenable to direct measurement. Therefore, a robust identification procedure was proposed to calibrate the model parameters that governed fatigue behavior, which was based on the response of unstrengthened specimens in the crack propagation curves. The successful identification was then validated by comparison with the measured response of the strengthened SENT specimens, which were modeled by adopting the same identified model parameters. The adhesive between the CFRP laminate and steel substrate was simulated by defining an elasto–brittle surface-to-surface contact model, whose properties were selected based on well known approaches that were proposed in the literature.
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Acknowledgments
The research grant provided by Fondazione Fratelli Confalonieri to the first author is acknowledged.
Notation
The following symbols are used in this paper:
- ac
- computed crack length;
- ae
- experimentally measured crack length;
- Gf
- fracture energy;
- i
- index denoting a given cycle of the loading history;
- k
- damage variable;
- N
- number of cycles in the loading history;
- p
- vector of model parameters to be estimated;
- T
- scalar effective cohesive traction;
- t
- traction vector at the interface;
- tn
- normal traction component;
- ts
- shear traction component;
- α
- parameter of the CCZM that governs damage evaluation during the reloading phase;
- β
- parameter of the CCZM that governs the fatigue threshold;
- δ
- scalar effective opening displacement;
- δ
- separation vector at the interface;
- δc
- critical displacement at which crack initiates;
- δn
- normal component of the discontinuity displacement vector along the interface;
- δs
- shear component of the discontinuity displacement vector along the interface;
- δu
- failure displacement of the cohesive law;
- γ
- parameter of the CCZM governing damage evaluation during the unloading phase;
- η
- nondimensional parameter that governs mixed-mode
- Θ
- discrepancy function in the parameter’s evaluation process; and
- σc
- peak traction of the cohesive law.
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Published In
Journal of Composites for Construction
Volume 26 • Issue 5 • October 2022
Copyright
© 2022 American Society of Civil Engineers.
History
Received: Dec 20, 2021
Accepted: May 13, 2022
Published online: Jul 21, 2022
Published in print: Oct 1, 2022
Discussion open until: Dec 21, 2022
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Cited by
- Tommaso Papa, Massimiliano Bocciarelli, Identification of the parameters contained in a cyclic cohesive zone model for fatigue crack propagation, Engineering Fracture Mechanics, 10.1016/j.engfracmech.2023.109055, 279, (109055), (2023).