ISSN 3041-1815. Physicochemical Mechanics of Materials. 2025.
Volume 61, Issue 1
Evaluation of increased local trap hydrogen concentration
Keywords
local hydrogen concentration, diffusible hydrogen, trapped hydrogen, plastic deformation.
Cite as
Hembara O. V., Chepil O. Ya., Hembara N. T., and Sapuzhak Ya. I. Evaluation of increased local trap hydrogen concentration. Physicochemical Mechanics of Materials. 2025. 61(1), 118-125.
DOI: https://doi.org/10.15407/pcmm2025.01.118
Abstract
Mathematical models of hydrogenation of low-alloy steels, enabling the assessment of increased local hydrogen concentration near defects of various types were developed. Analytical dependences were established, and computational evaluations of the local distribution of trapped hydrogen near voids of different shapes and crack-like defects on the internal surface of a pipeline made of low-alloy steel were performed, depending on the internal pressure of the hydrogen-containing environment.
References
- Y. Ivanytskyi, Y. Kharchenko, O. Hembara, O. Chepil, Y. Sapuzhak, and N. Hembara, “The energy approach to the evaluation of hydrogen effect on the damage accumulation,” Procedia Structural Integrity, 16, 126-133 (2019). https://doi.org/10.1016/j.prostr.2019.07.031
- A. J. Kumnick, and H. H. Johnson, “Deep trapping states for hydrogen in deformed iron,” Acta Metallurgica, 28, Is. 1, 33-39 (1980). https://doi.org/10.1016/0001-6160(80)90038-3
- B. Mytsyk, Y. Ivanytsky, O. Hembara, Y. Kost, S. Shtayura, and O. Sakharuk, “Effects of hydrogen influence on strained steel 1020,” Int. J. of Hydrogen Energy, 45, Is. 16, 10199-10208 (2020). https://doi.org/10.1016/j.ijhydene.2020.02.004
- O. E. Andreikiv, I. Ya. Dolins’ka, V. Z. Kukhar, and I. P. Shtoiko, “Influence of hydrogen on the residual service life of a gas pipeline in the maneuvering mode of operation,” Mater. Sci., 51, No. 4, 500-508 (2016). https://doi.org/10.1007/s11003-016-9868-6
- I. Dmytrakh, A. Syrotyuk, and R. Leshchak, “Specific effects of hydrogen concentration on resistance to fracture of ferrite-pearlitic pipeline steels” Procedia Structural Integrity, 16, 113-120 (2019). https://doi.org/10.1016/j.prostr.2019.07.029
- A. M. Syrotyuk, R. L. Leshchak, and M. I. Dorosh, “Experimental and analytic investigation of the hydrogenation of pipe steels,” Mater. Sci., 53, No. 6, 811-817 (2018). https://doi.org/10.1007/s11003-018-0140-0
- V. Skalskyi, O. Andreikiv, and I. Dolinska, “Assessment of subcritical crack growth in hydrogen-containing environment by the parameters of acoustic emission signals,” Int. J. of Hydrogen Energy, 43, 5217-5224 (2018). https://doi.org/10.1016/j.ijhydene.2018.01.124
- O. Andreykiv, I. Dolinska, S. Nastasiak, V. Sheketa, “Mathematical modeling of hydrogen cracks growth kinetics in metallic materials at high hydrogen parameters,” in: Proc. 13th Int. Conf. on Advanced Computer Information Technologies, ACIT’2023 (September 21-23, 2023, Wroclaw, Poland), (2023), pp. 88-91. https://doi.org/10.1109/ACIT58437.2023.10275487
- H. Kanayama, T. Shingoh, S. Ndong-Mefane, M. Ogino, R. Shioya, and H. Kawai, “Numerical analysis of hydrogen diffusion problems using the finite element method,” Theor. and Appl. Mech. Japan, 56, 389-400 (2008).
- H. Kotake, R. Matsumoto, S. Taketomi, and N. Miyazaki, “Transient hydrogen diffusion analyses coupled with crack-tip plasticity under cyclic loading,” Int. J. of Pressure Vessels and Piping, 85, Is. 8, 540-549 (2008). https://doi.org/10.1016/j.ijpvp.2008.02.002
- A. H. M. Krom, R. W. J.Koers, and A. Bakkerr, “Hydrogen transport near a blunting crack tip,” J. of the Mech. and Phys. of Solids, 47, Is. 4, 971-992 (1999). https://doi.org/10.1016/S0022-5096(98)00064-7
- O. V. Hembara, O. Y. Chepil, and N. T. Hembara, “Influence of the parameters of discretization on the accuracy of numerical solution of the three-dimensional problem of hydrogen diffusion,” Mater. Sci., 52, No. 2, 280-286 (2016). https://doi.org/10.1007/s11003-016-9955-8
- L. Liu, R. Miresmaeili, M. Ogino, and H. Kanayama, “Finite element implementation of an elastoplastic constitutive equation in the presence of hydrogen,” J. of Computational Sci. and Technol., 5, Is. 1. 62-76 (2011). https://doi.org/10.1299/jcst.5.62
- R. Miresmaeili, M. Ogino, R. Shioya, H. Kawai, and H. Kanayama, “Finite element analysis of the stress and deformation fields around the blunting crack tip,” Memoirs of the Faculty of Eng., Kyushu University, 68, Is. 4, 151-161 (2008).
- P. Sofronis, and R. M. McMeeking, “Numerical analysis of hydrogen transport near a blunting crack tip,” J. of the Mech. and Phys. of Solids, 37, Is. 3, 317-350 (1989). https://doi.org/10.1016/0022-5096(89)90002-1
- A. Taha, and P. Sofronis, “A micromechanics approach to the study of hydrogen transport and embrittlement,” Eng. Fract. Mech., 68, Is. 6, 803-837 (2001). https://doi.org/10.1016/S0013-7944(00)00126-0
- J. Toribio, A. Valiente, R. Cortes, and L. Caballero, “Modelling hydrogen embrittlement in 316L austenitic stainless steel for the first wall of the Next European Torus,” Fusion Eng. and Design, 29, Is. C, 442-447 (1995). https://doi.org/10.1016/0920-3796(95)80051-X
- J. Toribio, D. Vergara, M. Lorenzo, and V. Kharin, “Two-dimensional numerical modelling of hydrogen diffusion assisted by stress and strain,” WIT Transactions on Eng. Sci., 65, 131-140 (2009). https://doi.org/10.2495/ECOR090131
- D. Kürten, I. Khader, and A. Kailer, “Determining the effective hydrogen diffusion coefficient in 100Cr6,” Mater. and Corr., 71, 918-923 (2020). https://doi.org/10.1002/maco.201911322
- M. Lin, H. Yu, D. Wang, A. Díaz, A. Alvaro, V. Olden, E. Koren, Y. Ding, J. He, and Z. Zhang, “Experimental and numerical study on hydrogen-induced failure of X65 pipeline steel,” Mater. Sci. & Eng. A, 894 (2024). Article number 146175. https://doi.org/10.1016/j.msea.2024.146175
- C. V. Di Leo, and L. Anand, “Hydrogen in metals: A coupled theory for species diffusion and large elastic-plastic deformations,” Int. J. of Plasticity, 43, 42-69 (2013). https://doi.org/10.1016/j.ijplas.2012.11.005
- A. Díaz, J. M. Alegre, and I. I. Cuesta, “Coupled hydrogen diffusion simulation using a heat transfer analogy,” Int. J. of Mech. Sci., 115-116, 360-369 (2016). https://doi.org/10.1016/j.ijmecsci.2016.07.020
- R. Fernández-Sousa, C. Betegón, and E. Martínez-Pañeda, “Analysis of the influence of microstructural traps on hydrogen assisted fatigue,” Acta Materialia, 199, 253-263 (2020). https://doi.org/10.1016/j.actamat.2020.08.030
- M. Lin, H. Yu, Y. Ding, V. Olden, A. Alvaro, J. He, and Z. Zhang, “Simulation of ductile-to-brittle transition combining complete Gurson model and CZM with application to hydrogen embrittlement,” Eng. Fract. Mech., 268 (2022). Article number 108511. https://doi.org/10.1016/j.engfracmech.2022.108511
- A. J. Kumnick, and H. H. Johnson, “Steady state hydrogen transport through zone refined irons,” Metallurgical Transactions A, 6, Is. 5, 1087-1091 (1975). https://doi.org/10.1007/BF02661363
- R. A. Oriani, “The diffusion and trapping of hydrogen in steel,” Acta Metallurgica, 18, Is. 1, 147-157 (1970). https://doi.org/10.1016/0001-6160(70)90078-7
- M. Dutkiewicz, O. Hembara, O. Chepil, M. Hrynenko, and T. Hembara, “A new energy approach to predicting fracture resistance in metals,” Materials, 16, Is. 4 (2023). Article number 1566. https://doi.org/10.3390/ma16041566
- M. Dutkiewicz, O. Hembara, Y. Ivanytskyi, M. Hvozdiuk, O. Chepil, M. Hrynenko, and N. Hembara, “Influence of hydrogen on the fracture resistance of pre-strained steam generator steel 22K,” Materials, 15, Is. 19 (2022). Article number 6596. https://doi.org/10.3390/ma15196596
- K. Takayama, R. Matsumoto, S. Taketomi, and N. Miyazaki, “Hydrogen diffusion analyses of a cracked steel pipe under internal pressure,” Int. J. of Hydrogen Energy, 36, Is. 1, 1037-1045 (2011). https://doi.org/10.1016/j.ijhydene.2010.10.046
- O. Hembara, A. Syrotyuk, O. Chepil, Y. Sapuzhak, and N. Hembara, “Evaluation of increased local hydrogen concentration in the vicinity of various types of defects in low-alloyed steels,” Procedia Structural Integrity, 59, 190-197 (2024). https://doi.org/10.1016/j.prostr.2024.04.028