title: Discontinuous mappings and the limit load in boundary value problems of nonlinear elasticity
metadata.name: dc.contributor.author
metadata.value: Brigadnov, Igor A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-03-14T20:26:12Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-03-14T20:26:12Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Brigadnov I.А. Discontinuous mappings and the limit load in boundary value problems of nonlinear elasticity. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 86–98. https://doi.org/10.21638/spbu01.2023.108 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.108
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/39328
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article discusses a boundary value problem of nonlinear elasticity for mapping (deformation) in two weak formulations: in the form of a variational equilibrium equation and in the form of minimization of a multidimensional integral functional. Some questions of a mathematical correctness of the nonlinear elasticity BVP are discussed. Using methods of calculus of variations, by the example of two simple problems, it is proved that for some nonlinear elastic models in the corresponding boundary value problems there can be mappings that have discontinuities of the slip type, as well as there is the limit load - such a finite value of external forces, above which the boundary value problem has no solution at all.
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: nonlinear elasticity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: variational formulations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discontinuous mappings
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: limit load
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Discontinuous mappings and the limit load in boundary value problems of nonlinear elasticity
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 15496-Текст статьи-51847-1-2-20230304.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/39328/1/15496-%d0%a2%d0%b5%d0%ba%d1%81%d1%82%20%d1%81%d1%82%d0%b0%d1%82%d1%8c%d0%b8-51847-1-2-20230304.pdf
resources.format: Adobe PDF
resources.size: 366,13 kB