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

Author:

Frolova Ksenia1ORCID,Vilchevskaya Elena1,Bessonov Nikolay1,Müller Wolfgang2,Polyanskiy Vladimir1,Yakovlev Yuriy1

Affiliation:

1. Institute for Problems in Mechanical Engineering of the Russian Academy of Sciences, Saint Petersburg, Russia

2. Institute of Mechanics, Chair of Continuum Mechanics and Constitutive Theory, Technische Universität Berlin, Berlin, Germany

Abstract

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.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. A mathematical formulation for analysis of diffusion-induced stresses in micropolar elastic solids;Archive of Applied Mechanics;2023-05-12

2. Application of Nonlocal FICK’s Law Within Micropolar Approach;Advanced Structured Materials;2023

3. On modeling of stress‐induced diffusion within micropolar and classical approaches;ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik;2022-04-12

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