title: Refined equations of ellyptic boundary layer in shells of revolution under normal shock surface loading
metadata.name: dc.contributor.author
metadata.value: Kirillova, Irina V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Kossovich, Leonid Yu.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2017-07-05T09:33:41Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2017-07-05T09:33:41Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2017-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Kirillova I.V., Kossovich L.Yu. Refined equations of ellyptic boundary layer in shells of revolution under normal shock surface loading. Vestnik SPbSU. Mathematics. Mechanics. Astronomy, 2017, vol. 4 (62), issue 1, pp. 113–120.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: 10.21638/11701/spbu01.2017.113
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/6692
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The first order approximations for boundary layer in the vinicity of the surface Rayleigh wave front in shells
  of revolution under shock surface loads were obtained. The proposed approach for asymptotic constructing
  of boundary layer equations allowed to obtain ellyptic equations describing boundary layer variation
  by thichness and hyperbolic equations defining boundary conditions on the shell surface. However, the
  analysis shows that first order approximations are insufficient for derivig all stress-strain state components.
  Therefore, the refined asymptotic equations were constructed, which allows to obtain all stress-strain
  components with the accuracy of realtive thichness of the shell. Refs 10. Figs 2.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (грант №11-01-00769-а).
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: shell of revolution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: asymptotic methods
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: shock loading
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: symbolic method Lourier
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Rayleigh wave
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: boundary layer
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Refined equations of ellyptic boundary layer in shells of revolution under normal shock surface loading
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 13-Kirillova.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/6692/1/13-Kirillova.pdf
resources.format: Adobe PDF
resources.size: 346,84 kB