Theoretical results

• A new approach to the construction of micropolar continuum models accounting for the source terms describing structural changes

• Expressions for the effective properties of composites with inhomogeneities of various shapes with perfect and imperfect contact at constituent interfaces
• Model of the skin effect due to hydrogen saturation of metals and alloys
• Finite element model of hydrogen diffusion accounting for hydrogen traps
• Analysis of theoretical aspects of the desorption of hydrogen and its isotopes from compounds with titanium

Selected publications

1. Vilchevskaya E. Modeling stress‐affected chemical reactions in composite materials //ZAMM‐Journal of Applied Mathematics and Mechanics/ZeitschriftfürAngewandteMathematik und Mechanik. – 2021. – Т. 101. – №. 4. – С. e202000281.
2. Vilchevskaya E., Levin V., Seyedkavoosi S., Sevostianov I. Replacement relations for a viscoelastic material containing multiple inhomogeneities //International journal of engineering science. – 2019. – Т. 136. – С. 26-37.
3. Seyedkavoosi S., Vilchevskaya E., Sevostianov I. Randomly oriented cracks in a transversely isotropic material //International Journal of Solids and Structures. – 2018. – Т. 150. – С. 222-229.
4. Müller W. H., Vilchevskaya E. N. Micropolar theory from the viewpoint of mesoscopic and mixture theories //Physical mesomechanics. – 2017. – Т. 20. – №. 3. – С. 263-279.
5. Müller W. H., Vilchevskaya E. N., Weiss W. Micropolar theory with production of rotational inertia: A farewell to material description //Physical Mesomechanics. – 2017. – Т. 20. – №. 3. – С. 250-262.
6. Ivanova E. A., Vilchevskaya E. N. Micropolar continuum in spatial description //Continuum Mechanics and Thermodynamics. – 2016. – Т. 28. – №. 6. – С. 1759-1780.
7. Frolova K., Vilchevskaya E., Bessonov N., Müller W., Polyanskiy V., Yakovlev Y. Application of micropolar theory to the description of the skin effect due to hydrogen saturation //Mathematics and Mechanics of Solids. – 2021. – С. 10812865211059223.
8. Frolova K. P, Vilchevskaya E. N. Effective diffusivity of transversely isotropic material with embedded pores //Materials Physics and Mechanics. – 2021. –Т. 47. – №. 6. – №. 1–14.
9. Grigoreva P. M., Vilchevskaya E. N., Polyanskiy V. A. Influence of Linear Elastic Stresses on Hydrogen Diffusion into Metals //Advances in Hydrogen Embrittlement Study. – 2021. – С. 143-157.
10. Grigoreva P. M., Yakovlev Y. A., Polyanskiy A. M., Loginov V. P., Polyanskiy A. V., Polyanskiy V. A. Determination of the Activation Energy of Hydrogen from Their Compounds with Titanium //Advances in Hydrogen Embrittlement Study. – 2021. – С. 131-142.