变形眼内玻璃体液的运动--非线性弹性固体与非线性粘弹性流体的流固耦合
Motion of the vitreous humour in a deforming eye -- fluid-structure interaction between a nonlinear elastic solid and a nonlinear viscoleastic fluid
摘要:
我们研究变形眼球中玻璃体液的运动。从机械和计算的角度来看,这是一个任务,以解决一个复杂的粘弹性流体(玻璃体液)和非线性弹性固体(巩膜和晶状体)之间的流体-结构相互作用的问题。我们提出了一种能够处理流体-结构相互作用问题的数值方法,并通过在现实的几何设置和现实的参数值中求解相应的控制方程来证明其适用性。结果表明,玻璃体液的流变模型的选择有一个可以忽略不计的影响,在感兴趣的域中的整体流动模式,而它是有显着的影响,在感兴趣的域中的机械应力分布。
英文摘要:
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 (vitreour 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 is has a significant impact on the mechanical stress distribution in the domain of interest.
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