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

Frolova, Ksenia P.; Vilchevskaya, Elena N.; Polyanskiy, Vladimir A.; Yakovlev, Yuriy A.

doi:10.1007/s00161-020-00948-3

Cited by 6 publications

(9 citation statements)

References 56 publications

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“…The present paper models stress-induced diffusion and focuses on the application of the general micropolar theory to the description of the local increase of hydrogen in the vicinity of the border. In fact, this work continues and summarizes our previous theoretical investigation [46][47][48]. In Frolova et al [46], we considered continuum with constrained rotations when microrotations coincide with macrorotations determined by the displacement field.…”

Section: Introductionsupporting

confidence: 60%

On modeling of stress‐induced diffusion within micropolar and classical approaches

2022

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The paper continues and summarizes our previous investigation on a description of the local increase of hydrogen in the vicinity of the border of a metal specimen after hydrogenation. The local increase is observed after artificial saturation of metal specimens and after operation of metal details in corrosive environments. It can worsen significantly the material properties and its behavior at the macro-level. A stress-induced diffusion process in a cylinder is modeled. The paper accounts for the inner stresses and strains by means of chemical potential and by means of the dependence of the diffusion coefficient on elastic strain energy. The stress-strain state is determined within the micropolar theory of elasticity, the results are compared with the ones obtained within the classical theory.Nonuniform fields of stresses and strains result in a nonuniform distribution of hydrogen. Accounting for the couple stress interactions between continuum particles results in a faster saturation of the boundary layer with hydrogen.

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Section: Introductionsupporting

confidence: 60%

On modeling of stress‐induced diffusion within micropolar and classical approaches

2022

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“…To obtain quantitative modeling results and compare them with experimental data, it is necessary to estimate the nonclassical material parameters l b and N appearing in the current micropolar model. In [52], we related the experimental thickness of the boundary layer containing dissolved hydrogen ( 60 – 110 μ m ) to the width of the layer with a changed stress–strain state. We obtained four values for the ratio L b = l b / N : 13 μ m , 18 μ m , 24 μ m , and 32 μ m .…”

Section: Results and Verificationmentioning

confidence: 99%

“…In [52], we show that the value of M 0 affects the value of displacement and microrotations on the border, but does not affect the thickness of the subsurface layer with additional stresses and strains. The distributed couple stress M 0 is taken to be equal to − 800 kPa , to consider axial displacements comparable with the grain size and relatively small microrotations around e φ .…”

Section: Results and Verificationmentioning

confidence: 99%

“…The amount of hydrogen released from all cylindrical parts at each temperature was measured. The mean values of the amount of hydrogen in the cylindrical parts cut from the initial sample are reported in [52] and given in Table 2.…”

Section: Results and Verificationmentioning

confidence: 99%

“…In the first stage, the stress–strain state of a nonsaturated specimen is found within the framework of micropolar theory. This solution was obtained analytically in [11, 52] with some restrictions. In this paper, we will present, in addition, a numerical solution without restrictions and compare the results.…”

Section: Modeling Of the Skin Effectmentioning

confidence: 99%

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Application of micropolar theory to the description of the skin effect due to hydrogen saturation

Frolova

Vilchevskaya

Bessonov

et al. 2021

Mathematics and Mechanics of Solids

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A model is proposed for the description of a highly inhomogeneous distribution of hydrogen within a saturated metal specimen (the so-called skin effect due to hydrogen saturation). The model is based on the micropolar continuum approach and results in a nonuniform stress–strain state of a cylindrical metal specimen due to distributed couples or microrotations. The dependence of the diffusion coefficient on the strain energy is considered in order to model stress-induced diffusion. Accumulation of hydrogen within a thin boundary layer results in a highly nonuniform distribution of hydrogen across the specimen. The mutual influence of the stress–strain state and hydrogen accumulation is taken into account. The estimated thickness of the surface layer containing hydrogen is comparable to the thickness observed in experiments. The predicted average concentration coincides with experimental data.

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On the Spectrum of Relaxation Times of Coupled Diffusion and Rheological Processes in Media with Microstructure

Dudin¹,

Келлер²

2023

Advanced Structured Materials

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

Cited by 6 publications

References 56 publications

On modeling of stress‐induced diffusion within micropolar and classical approaches

On modeling of stress‐induced diffusion within micropolar and classical approaches

Application of micropolar theory to the description of the skin effect due to hydrogen saturation

On the Spectrum of Relaxation Times of Coupled Diffusion and Rheological Processes in Media with Microstructure

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