title: Modeling of nonlinear deformation of a plate with elliptic inclusion by John’s harmonic material
metadata.name: dc.contributor.author
metadata.value: Mal’kov, Venyamin M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Mal’kova, Yulia V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-05T09:36:10Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-05T09:36:10Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Mal’kov V.M., Mal’kova Yu.V. Modeling of nonlinear deformation of a plate with elliptic inclusion by John’s harmonic material. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 1, pp. 121–130.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.114
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6693
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The exact analytical solution of nonlinear plane-strain problems for a plate with an elastic elliptic inclusion
  is obtained. The constant stresses are given at infinity. The mechanical properties of a plate and inclusion
  are described by model of a John’s harmonic material. For this model the methods of complex functions are
  applicable to solution of nonlinear plane problems. It is supposed, that the state of stress inside inclusion
  is homogeneous (tensor of nominal stresses is constant). This assumption has allowed to reduce a difficult
  nonlinear problem of elliptic inclusion in plate to the solution of two more simple problems for a plate
  with an elliptic hole. A validity of adopted hypothesis is justified by that the received solution precisely
  satisfies to all equations and boundary conditions of a problem. It is established, that material can lose stability at uniaxial or biaxial compression of a plate. The solutions of some partial nonlinear problems
  are received from the common solution: a plate with a free elliptic hole and a plate with rigid inclusion.
  Refs 13. Figs 3.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (проект №16-31-00065).
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 4 (62); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonlinear plane problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: elliptic hole or inclusion
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: John’s harmonic material
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: complexvariable method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Modeling of nonlinear deformation of a plate with elliptic inclusion by John’s harmonic material
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 14-Malkov.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6693/1/14-Malkov.pdf
resources.format: Adobe PDF
resources.size: 496,66 kB