title: Two-dimensional model of an anisotropic plate of the second-order accuracy
metadata.name: dc.contributor.author
metadata.value: Tovstik, Petr E.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-05-24T09:54:19Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-05-24T09:54:19Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-03
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Tovstik P.E. Two-dimensional model of an anisotropic plate of the second order accuracy. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 1, pp. 157–169.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.112
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/15545
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In a linear approximation a deformation of a thin elastic anisotropic heterogeneous in the thickness direction plate is investigated. By using an asymptotic solution of 3D equations of the theory of elasticity, a 2D model of the second order accuracy with respect to the small thickness parameter is built for a plate with the general anisotropy that is described by 21 elastic modules. The obtained system of equations describes deﬂections of a middle layer and has the diﬀerential order, coinciding with the order of the Timoshenko-Reissner model. The model is acceptable to an investigation of statics, dynamics and stability of multi-layered, and also functionally graded plates. In the previous works, the models of the second-order accuracy were constructed for isotropic plates and for plates with partial kinds of anisotropy. The general anisotropy is studied ﬁrst.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: Работа выполнена при финансовой поддержке РФФИ (гранты № 16-01-00580-а, 16-51-52025 МНТ-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 6 (64); Issue 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: anisotropic heterogeneous plate
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: model of the second-order accuracy
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Two-dimensional model of an anisotropic plate of the second-order accuracy
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 157-169.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/15545/1/157-169.pdf
resources.format: Adobe PDF
resources.size: 305,89 kB