Abstract
The models of the wave description of the hydrogen concentration in materials are discussed and compared. Special attention is paid to the role of nonlinear effects.
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References
Smirnov, L.I.: On the wave propagation of concentration hydrogen disturbances in palladium. Phys. Metals Metallogr. 109(2), 107–110 (2010)
Indeitsev, D., Semenov, B.: About a model of structural-phase transformations under hydrogen influence. Acta Mech. 195(1–4), 295–304 (2008)
Indeitsev, D., Polyanskii, V., Semenov, B., Sterlin, M., Yakovlev, Y.: Hydrogen diffusion in metals under fatigue failure. In: 19th European Conference on Fracture: Fracture Mechanics for Durability, Reliability and Safety, ECF 2012, Kazan, 26–31 August 2012
Belyaev, A.K., et al.: Surface effect of the waves of plastic deformation and hydrogen distribution in metals. In: 2017 Days on Diffraction (DD), pp. 45–50. IEEE (2017)
Polyanskiy, V.A., Belyaev, A.K., Porubov, A.V., Yakovlev, Y.A., Polyanskiy, A.M.: Nonlinear waves of the internal medium due to dynamic loading of bi-continuum. In: 2019 Days on Diffraction (DD), pp.153–158. IEEE (2019)
Belyaev, A.K., Polyanskiy, V.A., Porubov, A.V.: Nonlinear dynamics of hydrogen concentration in high-strength and high-entropy alloys. Continuum Mech. Thermodyn. 31, 17851794 (2019)
Porubov, A.V., Belyaev, A.K., Polyanskiy, V.A.: Nonlinear modeling of dynamics of hydrogen concentration in alloys. Commun. Nonlinear Sci. Numer. Simulat. 90, 105402 (2020)
Porubov, A.V., Belyaev, A.K., Polyanskiy, V.A.: Nonlinear hybrid continuum-discrete dynamic model of influence of hydrogen concentration on strength of materials, Continuum Mech. Thermodyn. (2020). https://doi.org/10.1007/s00161-020-00936-7
Zabusky, N.G., Deem, G.S.: Dynamics of nonlinear lattices I. Localized optical excitations, acoustic radiation, and strong nonlinear behavior. J. Comp. Phys. 2, 126–153 (1967)
Andrianov, I.V., Awrejcewicz, J., Weichert, D.: Improved continuous models for discrete media. Math. Probl. Eng. (Open Access) 986242 (2010)
Acknowledgements
The study of AKB and VAP was funded by the Russian Foundation for Basic Research, projects 20-08-01100 and 18-08-00201.
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Porubov, A.V., Belyaev, A.K., Polyanskiy, V.A. (2021). Wave Nature of Hydrogen Concentration Dynamics in Materials. In: Polyanskiy, V.A., Belyaev, A.K. (eds) Advances in Hydrogen Embrittlement Study. Advanced Structured Materials, vol 143. Springer, Cham. https://doi.org/10.1007/978-3-030-66948-5_11
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DOI: https://doi.org/10.1007/978-3-030-66948-5_11
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