Modelling of a Hydrogen Saturated Layer Within the Micropolar Approach

Frolova, Ksenia P.; Иванова, Е. В.; Polyanskiy, Vladimir A.; Alekseeva, Ekaterina

doi:10.1007/978-3-030-13307-8_9

Cited by 11 publications

(10 citation statements)

References 27 publications

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“…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%

“…Consider a long circular cylindrical specimen of radius r 0 and length L in a cylindrical coordinate system (r, ϕ, z). Assume that distributed couples n • M| r=r 0 = M 0 (10) or microrotations θ| r=r 0 = θ 0 (11) are prescribed on the boundary. Here, n is the outward normal to the lateral surface.…”

Section: Boundary-value Problemmentioning

confidence: 99%

“…One of the remaining boundary conditions (equation (10) or equation (11)) must be used to find the integration constants K and A. In the case of a static boundary condition, the solution takes the form…”

Section: Boundary-value Problemmentioning

confidence: 99%

“…An investigation of the fracture surfaces of saturated samples after tensile and fatigue tests also reveals a highly nonuniform distribution of hydrogen within specimens. Hydrogen saturation causes the appearance of thin brittle surface layers [11, 12]. The depth of the hydrogen-induced diffusion area can be estimated from scanning electron micrographs.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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: Modeling Of the Skin Effectmentioning

confidence: 99%

Section: Boundary-value Problemmentioning

confidence: 99%

Section: Boundary-value Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Self Cite

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show abstract

“…The boundary problem for the case of the cylinder under tensile stress and diffusing hydrogen is solved to investigate if one can obtain an experimentally observed "boundary layer" -a large hydrogen concentration gradient near the outer boundary of the body ( [13]) in this simplest case of such a diffusion.…”

Section: Introductionmentioning

confidence: 99%

The influence of elastic deformations in high-strength structural materials on the hydrogen transport

2021

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In this work, the diffusion equation for the gas-solid system is revised to describe the non-uniform distribution of hydrogen in steels. The first attempt to build a theoretical and general model and to describe the diffusion process as driven by a chemical potential gradient is made. A linear elastic solid body and ideal gas, diffusing into it, are considered. At this stage, we neglect any traps and non-linear effects. The coupled diffusion-elastic boundary problem is solved for the case of the cylinder under the tensile loads. The obtained results correspond to the experimental ones. Based on them, the assumptions about the correctness of the model and its further improvement are suggested.

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Thence the moment of momentum

2020

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Fifty years have passed since Truesdell's seminal paper on the origin and status of the balance for the moment of momentum was published in ZAMM. It is time to take stock: Important new developments in the theory of generalized continua with internal degrees of freedom and some fascinating fundamental applications need to be pointed out. Is there new evidence from classical papers regarding its independence from the balance of linear momentum? Can micropolar theory be used to “explain” electromagnetism? How is the conservation of the moment of momentum viewed in today's physics textbooks? In this paper an attempt is made to answer these and many more interesting questions.

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Modelling of a Hydrogen Saturated Layer Within the Micropolar Approach

Cited by 11 publications

References 27 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

The influence of elastic deformations in high-strength structural materials on the hydrogen transport

Thence the moment of momentum

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