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Nonclassical Shell Theories in Ocular Biome-chanics. / Bauer, Svetlana M. ; Voronkova, Eva B. .

Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures. Springer Nature, 2015. p. 81-98 (STRUCTMAT; Vol. 45).

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

Harvard

Bauer, SM & Voronkova, EB 2015, Nonclassical Shell Theories in Ocular Biome-chanics. in Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures. STRUCTMAT, vol. 45, Springer Nature, pp. 81-98.

APA

Bauer, S. M., & Voronkova, E. B. (2015). Nonclassical Shell Theories in Ocular Biome-chanics. In Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures (pp. 81-98). (STRUCTMAT; Vol. 45). Springer Nature.

Vancouver

Bauer SM, Voronkova EB. Nonclassical Shell Theories in Ocular Biome-chanics. In Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures. Springer Nature. 2015. p. 81-98. (STRUCTMAT).

Author

Bauer, Svetlana M. ; Voronkova, Eva B. . / Nonclassical Shell Theories in Ocular Biome-chanics. Shell and Membrane Theories in Mechanics and Biology: From Macro- to Nanoscale Structures. Springer Nature, 2015. pp. 81-98 (STRUCTMAT).

BibTeX

@inproceedings{153fc42639db479f87a12920ffdc9e15,
title = "Nonclassical Shell Theories in Ocular Biome-chanics",
abstract = "The stress-strain state of a pressurized spherical shell and circular cylinder are studied by means of the exact 3D theory of elasticity and the 2D approximate shell theories of moderate thicknesses. Both the sphere and the cylinder are made of transversally isotropic material. The first problem models the changes in the fluid pressure inside the human eye due to injected additional volume of liquid. The pressurized cylinder is one of simplest model of the human vessels. The algebraic relationships for deflections and stresses are derived. Both described shell theories take into account the variation of the shell thickness, which can be important for soft materials, e.g. the human eye{\textquoteright}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. The effect of the thickness changes are also discussed.",
keywords = "cylindrical shell, Spherical Shell, Shell Thickness, Intravitreal Injection, Shell theory",
author = "Bauer, {Svetlana M.} and Voronkova, {Eva B.}",
year = "2015",
language = "English",
isbn = "978-3-319-02534-6",
series = "STRUCTMAT",
publisher = "Springer Nature",
pages = "81--98",
booktitle = "Shell and Membrane Theories in Mechanics and Biology",
address = "Germany",

}

RIS

TY - GEN

T1 - Nonclassical Shell Theories in Ocular Biome-chanics

AU - Bauer, Svetlana M.

AU - Voronkova, Eva B.

PY - 2015

Y1 - 2015

N2 - The stress-strain state of a pressurized spherical shell and circular cylinder are studied by means of the exact 3D theory of elasticity and the 2D approximate shell theories of moderate thicknesses. Both the sphere and the cylinder are made of transversally isotropic material. The first problem models the changes in the fluid pressure inside the human eye due to injected additional volume of liquid. The pressurized cylinder is one of simplest model of the human vessels. The algebraic relationships for deflections and stresses are derived. Both 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. The effect of the thickness changes are also discussed.

AB - The stress-strain state of a pressurized spherical shell and circular cylinder are studied by means of the exact 3D theory of elasticity and the 2D approximate shell theories of moderate thicknesses. Both the sphere and the cylinder are made of transversally isotropic material. The first problem models the changes in the fluid pressure inside the human eye due to injected additional volume of liquid. The pressurized cylinder is one of simplest model of the human vessels. The algebraic relationships for deflections and stresses are derived. Both 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. The effect of the thickness changes are also discussed.

KW - cylindrical shell

KW - Spherical Shell

KW - Shell Thickness

KW - Intravitreal Injection

KW - Shell theory

UR - https://link.springer.com/chapter/10.1007/978-3-319-02535-3_4

M3 - Conference contribution

SN - 978-3-319-02534-6

T3 - STRUCTMAT

SP - 81

EP - 98

BT - Shell and Membrane Theories in Mechanics and Biology

PB - Springer Nature

ER -

ID: 15927607