title: Modeling of imperfect contacts in determining the effective diffusion permeability
metadata.name: dc.contributor.author
metadata.value: Frolova, Ksenia P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Vilchevskaya, Elena N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Polyanskiy, Vladimir A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-12-27T12:56:03Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-12-27T12:56:03Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Frolova K.P., Vilchevskaya E.N., Polyanskiy V.A. Modeling of imperfect contacts in determining the effective diffusion permeability. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 4, pp. 650–664. https://doi.org/10.21638/spbu01.2023.405 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.405
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44553
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The work develops a universal approach to acounting for imperfect contacts in determining
  the effective properties of various nature, namely, effective diffusivity, thermal and electrical
  conductivity. Imperfect contacts take place when fields at the microlevel are not
  continuous. The possibility of creating a unified approach is due to the similarity of the
  governing equations. At the same time, the appearance of imperfect contacts can be caused
  by microstructural features and by the specifics of the process itself. For concreteness, the
  effective diffusion permeability is determined, since various reasons for the appearance of
  imperfect contacts can be considered. The reasons can be associated both with the formation
  of structural defects and with the presence of the specific segregation effect. The paper
  generalizes and compares two approaches to accounting for imperfect contacts. In the first
  case, a field jump is set. In the second case, an inhomogeneity with a thin coating possessing
  extreme properties is introduced. A comprehensive analysis is carried out on the example of
  a material with spherical inhomogeneities. Analytical expressions for contribution tensor of
  the equivalent inhomogeneity are obtained, which results in simplification of generalization
  of various homogenization methods.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: effective properties
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: inhomogeneity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: imperfect contacts
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: segregation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: diffusivity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Modeling of imperfect contacts in determining the effective diffusion permeability
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 650-664.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44553/1/650-664.pdf
resources.format: Adobe PDF
resources.size: 376,35 kB