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Nonlinear hybrid continuum–discrete dynamic model of influence of hydrogen concentration on strength of materials

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Abstract

A new nonlinear lattice model for an influence of the hydrogen concentration on the elastic constants of the lattice model of a material is developed. A weakly nonlinear long-wavelength continuum model is considered, and a model nonlinear equation for the dynamics of concentration of hydrogen is obtained asymptotically. The model predicts a decrease in the stiffness coefficient as well as a light local moving increase due to the localized nonlinear concentration wave propagation.

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Acknowledgements

The study of AKB and VAP was funded by Russian Foundation for Basic Research, Projects 20-08-01100 and 18-08-00201.

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Authors and Affiliations

  1. Institute for Problems in Mechanical Engineering, Bolshoy 61, V.O., Saint-Petersburg, Russia

    A. V. Porubov, A. K. Belyaev & V. A. Polyanskiy

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  1. A. V. Porubov
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  2. A. K. Belyaev
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  3. V. A. Polyanskiy
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Correspondence to A. V. Porubov.

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Communicated by Andreas Öchsner.

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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. 33, 933–941 (2021). https://doi.org/10.1007/s00161-020-00936-7

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  • DOI: https://doi.org/10.1007/s00161-020-00936-7

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