title: Stability analysis of a nanopatterned bimaterial interface
metadata.name: dc.contributor.author
metadata.value: Shuvalov, Gleb M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kostyrko, Sergey A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-05-04T14:35:11Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-05-04T14:35:11Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Shuvalov G. M., Kostyrko S.A. Stability analysis of a nanopatterned bimaterial interface. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 1, pp. 97–104.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.109
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/28427
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the article it is shown that the nanopatterned interface of bimaterial is unstable due
  to the diffusion atom flux along the interface. The main goal of the research is to analyze the
  conditions of interface stability. The authors developed a model coupling thermodynamics
  and solid mechanics frameworks. In accordance with the Gurtin—Murdoch theory of
  surface/interface elasticity, the interphase between two materials is considered as a negligibly
  thin layer with the elastic properties differing from those of the bulk materials. The growth
  rate of interface roughness depends on the variation of the chemical potential at the curved
  interface, which is a function of interface and bulk stresses. The stress distribution along
  the interface is found from the solution of plane elasticity problem taking into account plane
  strain conditions. Following this, the linearized evolution equation is derived, which describes
  the amplitude change of interface perturbation with time.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by Russian Foundation for Basic Research (project N 19-31-90024).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: boundary perturbation method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: evolution equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interface diffusion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interface elasticity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: morphological instability
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Stability analysis of a nanopatterned bimaterial interface
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 09_Shuvalov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/28427/1/09_Shuvalov.pdf
resources.format: Adobe PDF
resources.size: 279,11 kB