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Symmetry
Volume 17
Issue 4
10.3390/sym17040615
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Article

Finite Element Analysis-Based Assessment of Damage Parameters for Ultra-Low-Cycle Fatigue Behavior of Structural Steels

by
Ivan Milojević
1,2,
Mirsad Tarić
1,
Dardan Klimenta
1,*,
Bojana Grujić
2,
Darius Andriukaitis
3,
Saša Jovanović
1 and
Miloš Čolović
1
1
Faculty of Technical Sciences, University of Priština in Kosovska Mitrovica, Kneza Miloša St. 7, RS-38220 Kosovska Mitrovica, Serbia
2
Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Vojvode Petra Bojovića Blvd. 1A, BH-78000 Banja Luka, Bosnia and Herzegovina
3
Department of Electronics Engineering, Faculty of Electrical and Electronics Engineering, Kaunas University of Technology, Studentu g. 50-438, LT-51368 Kaunas, Lithuania
*
Author to whom correspondence should be addressed.
Symmetry 2025, 17(4), 615; https://doi.org/10.3390/sym17040615
Submission received: 13 March 2025 / Revised: 11 April 2025 / Accepted: 16 April 2025 / Published: 18 April 2025
(This article belongs to the Special Issue Symmetry, Asymmetry and Other Patterns in Structural Engineering with Its Application)
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Abstract

Steel structures subjected to earthquakes or extreme cyclic loadings may undergo extensive damage and fractures due to ultra-low-cycle fatigue (ULCF). Although assessments of damage initiation and evolution parameters have been carried out for some steels exposed to low-cycle fatigue, so far, these parameters for structural steels exposed to ULCF have neither been sufficiently studied nor quantified. Accordingly, this paper provides the results of finite element analysis (FEA) concerning the ULCF behaviors of S355 and S690 steel specimens. Calibration of the damage parameters is performed in SIMULIA Abaqus 6.11 FEA software using a direct cyclic algorithm and available experimental data. Kliman’s model for the hysteresis energy of cyclic loading is used to analytically verify the damage parameters. In addition, available experimental data were obtained from cyclic axial strain tests on S355 and S690 steel specimens according to the ASTM International standard E606/E606M-21. Finally, the non-linear Chaboche–Lemaitre (C–L) combined isotropic–kinematic hardening model is used for the characterization of the ULCF behavior of S355 steel in a simple cylindrical bar. It is found that the two damage initiation parameters are 5.0 and −0.8, the first damage initiation parameter is dominant when modeling the number of cycles to failure, and the second damage initiation parameter is a material constant.
Keywords: damage parameter; direct cyclic algorithm; finite element analysis (FEA); hysteretic response; structural steel; ultra-low-cycle fatigue (ULCF) damage parameter; direct cyclic algorithm; finite element analysis (FEA); hysteretic response; structural steel; ultra-low-cycle fatigue (ULCF)

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MDPI and ACS Style

Milojević, I.; Tarić, M.; Klimenta, D.; Grujić, B.; Andriukaitis, D.; Jovanović, S.; Čolović, M. Finite Element Analysis-Based Assessment of Damage Parameters for Ultra-Low-Cycle Fatigue Behavior of Structural Steels. Symmetry 2025, 17, 615. https://doi.org/10.3390/sym17040615

AMA Style

Milojević I, Tarić M, Klimenta D, Grujić B, Andriukaitis D, Jovanović S, Čolović M. Finite Element Analysis-Based Assessment of Damage Parameters for Ultra-Low-Cycle Fatigue Behavior of Structural Steels. Symmetry. 2025; 17(4):615. https://doi.org/10.3390/sym17040615

Chicago/Turabian Style

Milojević, Ivan, Mirsad Tarić, Dardan Klimenta, Bojana Grujić, Darius Andriukaitis, Saša Jovanović, and Miloš Čolović. 2025. "Finite Element Analysis-Based Assessment of Damage Parameters for Ultra-Low-Cycle Fatigue Behavior of Structural Steels" Symmetry 17, no. 4: 615. https://doi.org/10.3390/sym17040615

APA Style

Milojević, I., Tarić, M., Klimenta, D., Grujić, B., Andriukaitis, D., Jovanović, S., & Čolović, M. (2025). Finite Element Analysis-Based Assessment of Damage Parameters for Ultra-Low-Cycle Fatigue Behavior of Structural Steels. Symmetry, 17(4), 615. https://doi.org/10.3390/sym17040615

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