title: Deformation of a plane modelled by John’s material with a rigid elliptical inclusion loaded by force and moment
metadata.name: dc.contributor.author
metadata.value: Malkova, Yulia V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-10-23T18:00:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-10-23T18:00:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Malkova Yu. V. Deformation of a plane modelled by John’s material with a rigid elliptical inclusion loaded by force and moment. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 3, pp. 337–347. https://doi.org/10.21638/11701/spbu10.2023.303 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.303
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44288
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: An exact analytical solution is obtained for a non-linear problem of elasticity theory for a plane
  with a rigid elliptical inclusion. A concentrated force and a moment are applied at the
  center of inclusion. The elastic properties of the plane are modeled by John’s harmonic material.
  For this material methods of the theory of functions of a complex variable are using for
  solving nonlinear plane problems. Nominal stresses and displacements are expressed in terms
  of two analytical functions of a complex variable, which are determined from the boundary
  conditions on the contour of inclusion. The problems of the action of a concentrated force
  and moment on an elliptical core in a plane are considered separately. A comparison with
  a similar linear problem is made. The influence of the applied force and moment on the magnitude
  of stresses is studied depending on various parameters of the problem. Calculations
  of nominal stresses on the contour joining the plane with inclusion are performed.
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. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: non-linear plane problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: rigid elliptical 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: concentrated force and moment
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Deformation of a plane modelled by John’s material with a rigid elliptical inclusion loaded by force and moment
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 03.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44288/1/03.pdf
resources.format: Adobe PDF
resources.size: 301,37 kB