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The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer. / Bauer, S. M.; Venatovskaya, A.; Voronkova, E. B.; Smirnov, A. L.

In: Vestnik St. Petersburg University: Mathematics, Vol. 49, No. 3, 2016, p. 277–283.

Research output: Contribution to journal › Article › peer-review

Harvard

Bauer, SM, Venatovskaya, A, Voronkova, EB & Smirnov, AL 2016, 'The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer', Vestnik St. Petersburg University: Mathematics, vol. 49, no. 3, pp. 277–283. https://doi.org/10.3103/S1063454116030043

APA

Bauer, S. M., Venatovskaya, A., Voronkova, E. B., & Smirnov, A. L. (2016). The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer. Vestnik St. Petersburg University: Mathematics, 49(3), 277–283. https://doi.org/10.3103/S1063454116030043

Vancouver

Bauer SM, Venatovskaya A, Voronkova EB, Smirnov AL. The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer. Vestnik St. Petersburg University: Mathematics. 2016;49(3):277–283. https://doi.org/10.3103/S1063454116030043

Author

Bauer, S. M. ; Venatovskaya, A. ; Voronkova, E. B. ; Smirnov, A. L. / The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer. In: Vestnik St. Petersburg University: Mathematics. 2016 ; Vol. 49, No. 3. pp. 277–283.

BibTeX

@article{110eccbb714d4058a7064b8f3f1551fb,
title = "The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer",
abstract = "A 3D problem of the deformation of an elastic orthotropic spherical layer that is subjected to normal pressure applied to its outer and inner surfaces is analyzed. Asymptotic first-order approximation solutions are obtained for a slightly orthotropic layer for which the elastic moduli in the meridional and circumferential directions have similar values. The solutions that are obtained are used for analyzing the scleral shell under intraocular pressure; however, they can also be used for solving the inverse problem of analyzing the stress–strain state of a human eye during intravitreal injections. The influence that the meridional and circumferential elastic moduli have on the magnitudes of changes in the relative layer thickness and in the length of the anteroposterior eye axis due to elevated intraocular pressure is studied",
keywords = "Lame problem, orthotropy, spherical layer",
author = "Bauer, {S. M.} and A. Venatovskaya and Voronkova, {E. B.} and Smirnov, {A. L.}",
note = "Bauer, S.M., Venatovskaya, L.A., Voronkova, E.B. et al. The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer. Vestnik St.Petersb. Univ.Math. 49, 277–283 (2016). https://doi.org/10.3103/S1063454116030043",
year = "2016",
doi = "10.3103/S1063454116030043",
language = "English",
volume = "49",
pages = "277–283",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer

AU - Bauer, S. M.

AU - Venatovskaya, A.

AU - Voronkova, E. B.

AU - Smirnov, A. L.

N1 - Bauer, S.M., Venatovskaya, L.A., Voronkova, E.B. et al. The three-dimensional problem of the axisymmetric deformation of an orthotropic spherical layer. Vestnik St.Petersb. Univ.Math. 49, 277–283 (2016). https://doi.org/10.3103/S1063454116030043

PY - 2016

Y1 - 2016

N2 - A 3D problem of the deformation of an elastic orthotropic spherical layer that is subjected to normal pressure applied to its outer and inner surfaces is analyzed. Asymptotic first-order approximation solutions are obtained for a slightly orthotropic layer for which the elastic moduli in the meridional and circumferential directions have similar values. The solutions that are obtained are used for analyzing the scleral shell under intraocular pressure; however, they can also be used for solving the inverse problem of analyzing the stress–strain state of a human eye during intravitreal injections. The influence that the meridional and circumferential elastic moduli have on the magnitudes of changes in the relative layer thickness and in the length of the anteroposterior eye axis due to elevated intraocular pressure is studied

AB - A 3D problem of the deformation of an elastic orthotropic spherical layer that is subjected to normal pressure applied to its outer and inner surfaces is analyzed. Asymptotic first-order approximation solutions are obtained for a slightly orthotropic layer for which the elastic moduli in the meridional and circumferential directions have similar values. The solutions that are obtained are used for analyzing the scleral shell under intraocular pressure; however, they can also be used for solving the inverse problem of analyzing the stress–strain state of a human eye during intravitreal injections. The influence that the meridional and circumferential elastic moduli have on the magnitudes of changes in the relative layer thickness and in the length of the anteroposterior eye axis due to elevated intraocular pressure is studied

KW - Lame problem

KW - orthotropy

KW - spherical layer

U2 - 10.3103/S1063454116030043

DO - 10.3103/S1063454116030043

M3 - Article

VL - 49

SP - 277

EP - 283

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 7602832