Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoelastic fluid.
(Motion of the vitreous humour in a deforming eye-fluid-structure interaction between a nonlinear elastic solid and viscoleastic fluid.)

*(English)*Zbl 1427.76288Summary: We study the motion of vitreous humour in a deforming eyeball. From the mechanical and computational perspective, this is a task to solve a fluid-structure interaction problem between a complex viscoelastic fluid (vitreous humour) and a nonlinear elastic solid (sclera and lens). We propose a numerical methodology capable of handling the fluid-structure interaction problem, and we demonstrate its applicability via solving the corresponding governing equations in a realistic geometrical setting and for realistic parameter values. It is shown that the choice of the rheological model for the vitreous humour has a negligible influence on the overall flow pattern in the domain of interest, whilst it has a significant impact on the mechanical stress distribution in the domain of interest.

##### MSC:

76Z05 | Physiological flows |

92C35 | Physiological flow |

74B20 | Nonlinear elasticity |

74F10 | Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) |

92C10 | Biomechanics |

74S05 | Finite element methods applied to problems in solid mechanics |

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##### References:

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