Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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.Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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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