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Acta Mechanica

, Volume 227, Issue 5, pp 1515–1518 | Cite as

Equation for the evolution of trapped hydrogen in an elastic rod subjected to high-frequency harmonic excitation

  • Alexander K. Belyaev
  • Iliya I. Blekhman
  • Vladimir A. PolyanskiyEmail author
Note

Abstract

The hydrogen-containing solid is assumed to consist of an elastic matrix with voids filled by hydrogen. This model is used for modeling the process of diffusion and trapping the hydrogen in an elastic rod subjected to high-frequency excitation. The differential equation for the trapped hydrogen concentration is obtained in the one-dimensional case. The method of direct separation of vibrational processes allows one to introduce the “fast” and “slow” components in the process of hydrogen redistribution in the material. The governing equation for the evolution of the trapped hydrogen concentration in the vibrating elastic rod is derived, and it reflects the considerable impact of high-frequency vibration on the evolution of trapped hydrogen. The resulting equation is shown to differ significantly from the original equation for the hydrogen concentration.

Keywords

Slow Component Harmonic Excitation Elastic Matrix Trap Hydrogen Direct Separation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Belyaev A., Polyanskiy V., Yakovlev Y.: Stresses in a pipeline affected by hydrogen. Acta Mech. 223, 1611–1619 (2012). doi: 10.1007/s00707-012-0670-8 MathSciNetCrossRefzbMATHGoogle Scholar
  2. 2.
    Belyaev, A.K., Polyanskiy, V.A., Yakovlev, Y.A.: Hydrogen as an indicator of high-cycle fatigue. Procedia {IUTAM} 13, 138–143 (2015). doi: 10.1016/j.piutam.2015.01.012. http://www.sciencedirect.com/science/article/pii/S2210983815000139. Dynamical Analysis of Multibody Systems with Design Uncertainties
  3. 3.
    Blekhman I.I.: Vibrational mechanics: nonlinear dynamic effects, general approach, applications. World Scientific, Singapore (2000)CrossRefGoogle Scholar
  4. 4.
    Indeitsev D., Semenov B.: About a model of structural-phase transformations under hydrogen influence. Acta Mech. 195, 295–304 (2008). doi: 10.1007/s00707-007-0568-z CrossRefzbMATHGoogle Scholar
  5. 5.
    Liu Q., Atrens A.: A critical review of the influence of hydrogen on the mechanical properties of medium-strength steels. Corros. Rev. 31, 85–103 (2013). doi: 10.1515/corrrev-2013-0023 CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 2016

Authors and Affiliations

  1. 1.Peter the Great Saint-Petersburg Polytechnic UniversitySt. PetersburgRussia
  2. 2.Institute for Problems in Mechanical Engineering RASSt. PetersburgRussia

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