New Metrological Support for Measurements of the Concentration of Hydrogen in Solid Samples

Konopelko, L. A.; Polyanskiǐ, A. M.; Polyanskii, V. A.; Yakovlev, Yu. A.

doi:10.1007/s11018-018-1343-3

Cited by 9 publications

(4 citation statements)

References 13 publications

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“…In some cases, even small concentrations of hydrogen in metal parts operating under extreme loads and in corrosive environments can lead to a decrease in strength, followed by fracture and premature failure of structural elements [1][2][3]. A local increase in hydrogen concentration can lead to the destruction of the whole material [4]. For this reason, a realistic picture of the distribution of hydrogen concentration in a host material must be drawn.…”

Section: Introductionmentioning

confidence: 99%

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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Section: Introductionmentioning

confidence: 99%

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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“…where 4 𝐂 is the fourth-order tensor of elastic moduli, 𝝐 𝐻 = ᾱ𝑐𝐈 is the eigenstrain tensor due to hydrogen accumulation, ᾱ is a linear expansion coefficient of impurity, 𝑐 is concentration, 𝜆 and 𝜇 are Lamé coefficients, 𝜅 is one of the nonclassical elastic moduli, 𝑐(0) is concentration in a stress-free state, the superscripts 𝑆 and 𝐴 indicate the symmetric and antisymmetric part of the second-order tensor, respectively; double scalar product of tensors 𝐀 = 𝐚 𝑖 𝐛 𝑖 and 𝐁 = 𝐜 𝑗 𝐝 𝑗 is introduced as 𝐚 𝑖 𝐛 𝑖 ∶ 𝐜 𝑗 𝐝 𝑗 = (𝐚 𝑖 ⋅ 𝐜 𝑗 )(𝐛 𝑖 ⋅ 𝐝 𝑗 ).…”

Section: Stress-strain Statementioning

confidence: 99%

“…where 4 𝐃 is the fourth-order tensor of elastic moduli, 𝛽 𝑖 (𝑖 = 1, 2, 3) are nonclassical elastic moduli. The micropolar theory reduces to the classical one when the nonclassical material constants vanish.…”

Section: Stress-strain Statementioning

confidence: 99%

“…Damage of metals due to hydrogen presence is an important problem of industry [1][2][3]. A local increase of hydrogen concentration can worsen material properties and change its behavior at the macro-level [4]. Saturation of metals in an electrolyte, as well as cathodic hydrogen charging during standard time result in a significantly nonuniform distribution of hydrogen [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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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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Benchmark Study of Measurements of Hydrogen Diffusion in Metals

Arseniev

Belyaev

Polyanskiy³

et al. 2019

Dynamical Processes in Generalized Continua and Structures

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New Metrological Support for Measurements of the Concentration of Hydrogen in Solid Samples

Cited by 9 publications

References 13 publications

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

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

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

Benchmark Study of Measurements of Hydrogen Diffusion in Metals

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