title: On the estimation of the level of performance of a stretchable plate weakened by a transverse crack
metadata.name: dc.contributor.author
metadata.value: Morozov, Nikita F.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Semenov, Boris N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tovstik, Petr E.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T18:37:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T18:37:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Morozov N.F., Semenov B.N., Tovstik P.E. On the estimation of the level of performance of a stretchable plate weakened by a transverse crack. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 2, pp. 338–346.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.216
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15568
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A rectilinear crack in a thin elastic plate is considered. At tension of the plate in the perpendicular crack direction in the vicinity of the crack appear compressive stresses, which at a certain level of tension lead to loss of stability of the plane form of equilibrium plates. The purpose of the study is to clarify the issue of whether buckling promotes crack growth or leads to the stabilization of deformations. The stress state of the plate in the initial postcritical stage is investigated. The approximate analytical solution is suggested. The finite element method is used to solve the problem of stretching a plate after loss of stability. The effect of the loss of a plane form of deformation under tension of a plate with a central crack on the level of the stress state in the vicinity of the crack tip is estimated. An analysis of the stress state in the vicinity of the tip of the central crack under uniaxial tension shows that with possible local stability loss near the crack an increase in tensile stresses in the vicinity of the crack tip is observed, and, as a result, load leading to destruction should be reduced.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты №16-01-00580, 16-51-52025, 18-01-00884) и СПбГУ (грант №26520317).
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 6 (64); Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: stability loss
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: plates
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: finite element method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the estimation of the level of performance of a stretchable plate weakened by a transverse crack
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 338-346.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15568/1/338-346.pdf
resources.format: Adobe PDF
resources.size: 439,62 kB