title: The effect of nonlinear terms in boundary perturbation method on stress concentration near the nanopatterned bimaterial interface
metadata.name: dc.contributor.author
metadata.value: Shuvalov, Gleb M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Vakaeva, Alexandra B.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shamsutdinov, Denis A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kostyrko, Sergey A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2020-08-24T20:57:04Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2020-08-24T20:57:04Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Shuvalov G. M., Vakaeva A. B., Shamsutdinov D. A., Kostyrko S. A. The effect of nonlinear terms in boundary perturbation method on stress concentration near the nanopatterned bimaterial interface. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 2, pp. 165–176.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.208
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/19018
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Based on the Gurtin—Murdoch surface/interface elasticity theory, the article investigates
  the effect of nonlinear terms in the boundary perturbation method on stress concentration
  near the curvilinear bimaterial interface taking into account plane strain conditions. The
  authors consider the 2D boundary value problem for the infinite two-component plane under
  uniaxial tension. The interface domain is assumed to be a negligibly thin layer with the
  elastic properties differing from those of the bulk materials. Using the boundary perturbation
  method, the authors determined a semi-analytical solution taking into account non-linear
  approximations. In order to verify this solution, the corresponding boundary value problem
  was solved using the finite element method where the interface layer is modelled by the
  truss elements. It was shown that the effect of the amplitude-to-wavelength ratio of surface
  undulation on the stress concentration is nonlinear. This should be taken into account even
  for small perturbations. It was also found that the convergence rate of the derived solution
  increases with an increase in the relative stiffness coefficient of the bimaterial system and,
  conversely, decreases with an increase of the amplitude-to-wavelength ratio.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation (project N 19-71-00062).
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 16; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: bimaterial composites
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: nanomaterials
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interface stress
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: 2D problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary perturbation method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: finite element method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: size-effect
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: interface nano-asperities
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: The effect of nonlinear terms in boundary perturbation method on stress concentration near the nanopatterned bimaterial interface
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 165-176.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/19018/1/165-176.pdf
resources.format: Adobe PDF
resources.size: 408,67 kB