Modeling the skin effect associated with hydrogen accumulation by means of the micropolar continuum

This paper is concerned with a mechanical explanation of a highly inhomogeneous distribution of hydrogen within metal specimens, based on the micropolar continuum approach. The primary focus is on the modeling of the nonuniform stress–strain state of a cylindrical metal specimen that rapidly fades a...

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Bibliographic Details
Published in:Continuum mechanics and thermodynamics 2021-05, Vol.33 (3), p.697-711
Main Authors: Frolova, Ksenia P., Vilchevskaya, Elena N., Polyanskiy, Vladimir A., Yakovlev, Yuriy A.
Format: Article
Language:English
Subjects:
Accumulation
Boundary conditions
Boundary layers
Boundary value problems
Classical and Continuum Physics
Diffusion coefficient
Diffusion rate
Engineering Thermodynamics
Heat and Mass Transfer
Hydrogen
Inhomogeneity
Modelling
Original Article
Physics
Physics and Astronomy
Skin
Skin effect
Strain
Structural Materials
Theoretical and Applied Mechanics
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Summary:This paper is concerned with a mechanical explanation of a highly inhomogeneous distribution of hydrogen within metal specimens, based on the micropolar continuum approach. The primary focus is on the modeling of the nonuniform stress–strain state of a cylindrical metal specimen that rapidly fades away from the border and changes the inner structure of the material near the lateral surface. The boundary condition used in the considered boundary value problem reflects the influence of the structural defects located on the boundary. Thus, this model considers inner stresses and strains due to the structural inhomogeneity. Large values of the strain energy within the area comparable to the size of the structural inhomogeneity lead to a significant increase in the diffusion coefficient in the vicinity of the border. As a result, fast accumulation of hydrogen within a thin boundary layer produces a highly nonuniform distribution of hydrogen across the specimen. The comparison between the concentrations of hydrogen measured experimentally and estimated analytically was made.
ISSN:0935-1175
1432-0959
DOI:10.1007/s00161-020-00948-3