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Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection. / Bauer, Svetlana M.; Kornikov, Vladimir V.; Voronkova, Eva B.

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015);. American Institute of Physics, 2015.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Bauer, SM, Kornikov, VV & Voronkova, EB 2015, Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection. in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015);. American Institute of Physics, XII International Conference on Numerical Analysis and Applied Mathematics, Rodos, Greece, 22/09/14. https://doi.org/10.1063/1.4912544

APA

Bauer, S. M., Kornikov, V. V., & Voronkova, E. B. (2015). Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015); American Institute of Physics. https://doi.org/10.1063/1.4912544

Vancouver

Bauer SM, Kornikov VV, Voronkova EB. Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection. In Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015);. American Institute of Physics. 2015 https://doi.org/10.1063/1.4912544

Author

Bauer, Svetlana M. ; Kornikov, Vladimir V. ; Voronkova, Eva B. / Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection. Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015);. American Institute of Physics, 2015.

BibTeX

@inproceedings{f23c853d1d5f434aac63af7d32f627e5,
title = "Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection",
abstract = "The stress-strain state of a pressurised spherical shell is studied by means of the exact 3D theory of elasticity and the 2D approximate shell theories of moderate thicknesses. The sphere is made of transversely isotropic material. The problem models the changes in the fluid pressure inside the human eye due to injected additional volume of liquid. The algebraic relationships for deflections and stresses are derived. Described shell theories take into account the variation of the shell thickness, which can be important for soft materials, e.g. the human eye's tissue. The asymptotical analysis of the exact 3D solutions has been performed and the accuracy of the approximate solutions, obtained with the approximate theories is analyzed. Analytical results found with the presented theories are compared with those obtained with FEM.",
author = "Bauer, {Svetlana M.} and Kornikov, {Vladimir V.} and Voronkova, {Eva B.}",
year = "2015",
doi = "10.1063/1.4912544",
language = "English",
isbn = "9780735412873",
booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015);",
publisher = "American Institute of Physics",
address = "United States",
note = "XII International Conference on Numerical Analysis and Applied Mathematics : ICNAAM 2014, ICNAAM 2014 ; Conference date: 22-09-2014 Through 28-09-2014",

}

RIS

TY - GEN

T1 - Application of Shell Theories for Simulation of Intraocular Pressure Changes after Injection

AU - Bauer, Svetlana M.

AU - Kornikov, Vladimir V.

AU - Voronkova, Eva B.

PY - 2015

Y1 - 2015

N2 - The stress-strain state of a pressurised spherical shell is studied by means of the exact 3D theory of elasticity and the 2D approximate shell theories of moderate thicknesses. The sphere is made of transversely isotropic material. The problem models the changes in the fluid pressure inside the human eye due to injected additional volume of liquid. The algebraic relationships for deflections and stresses are derived. Described shell theories take into account the variation of the shell thickness, which can be important for soft materials, e.g. the human eye's tissue. The asymptotical analysis of the exact 3D solutions has been performed and the accuracy of the approximate solutions, obtained with the approximate theories is analyzed. Analytical results found with the presented theories are compared with those obtained with FEM.

AB - The stress-strain state of a pressurised spherical shell is studied by means of the exact 3D theory of elasticity and the 2D approximate shell theories of moderate thicknesses. The sphere is made of transversely isotropic material. The problem models the changes in the fluid pressure inside the human eye due to injected additional volume of liquid. The algebraic relationships for deflections and stresses are derived. Described shell theories take into account the variation of the shell thickness, which can be important for soft materials, e.g. the human eye's tissue. The asymptotical analysis of the exact 3D solutions has been performed and the accuracy of the approximate solutions, obtained with the approximate theories is analyzed. Analytical results found with the presented theories are compared with those obtained with FEM.

U2 - 10.1063/1.4912544

DO - 10.1063/1.4912544

M3 - Conference contribution

SN - 9780735412873

BT - Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014 (ICNAAM-2014), eds. T. E. Simos, G. Psihoyios and Ch. TsitourasAIP Conf. Proc. 1648, 300002 (2015);

PB - American Institute of Physics

T2 - XII International Conference on Numerical Analysis and Applied Mathematics

Y2 - 22 September 2014 through 28 September 2014

ER -

ID: 3931911