title: Solid mechanics models in application to ophthalmology
metadata.name: dc.contributor.author
metadata.value: Bauer, Svetlana M.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Venatovskaya, Ludmila A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Voronkova, Eva B.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-12-27T13:03:22Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-12-27T13:03:22Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bauer S.M., Venatovskaya L. A., Voronkova E. B. Solid mechanics models in application to ophthalmology. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 4, pp. 686–712. https://doi.org/10.21638/spbu01.2023.407 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.407
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44555
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The review presents the models on a change in the stress-strain state of the eye shell after
  vision correction operations and a change in intraocular pressure with the introduction of
  drugs into the vitreous body. All mathematical models were developed in collaboration
  with ophthalmologists. Mathematical models that describe the process of determining the
  true intraocular pressure (IOP) by applanation methods are discussed. New results in solid
  mechanics were obtained while studying ocular biomechanics problems. For example, the
  problem of the stability of a spherical shell subjected to a concentrated force and internal
  pressure was solved, and the stability of the axisymmetric equilibrium state of annular
  inhomogeneous orthotropic plates under normal pressure was studied. The stress-strain
  states of transversely isotropic spherical and cylindrical layers subjected to internal and
  external pressures are discussed, and the solutions obtained in the framework of the threedimensional
  theory are compared with the solutions obtained by non-classical shell theories.
  This comparison made it possible to assess the accuracy of approximate theories.
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 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: mathematical modelling
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: intraocular pressure
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shell theory models
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Solid mechanics models in application to ophthalmology
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 686-712.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44555/1/686-712.pdf
resources.format: Adobe PDF
resources.size: 1,79 MB