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生物力学中的流固耦合问题:用有限元法研究眼睛的预应力振动

A fluid-structure interaction problem in biomechanics: prestressed vibrations of the eye by the finite element method.

作者信息

Coquart L, Depeursinge C, Curnier A, Ohayon R

机构信息

Laboratoire de Génie Médical, Ecole Polytechnique Fédérale de Lausanne, Switzerland.

出版信息

J Biomech. 1992 Oct;25(10):1105-18. doi: 10.1016/0021-9290(92)90067-b.

DOI:10.1016/0021-9290(92)90067-b
PMID:1400511
Abstract

The object of this work has been to develop a mechanical and numerical model of the eye submitted to vibrations, and in particular, to calculate the influence of intraocular pressure (IOP) on the eye resonance frequencies. Our mechanical model of the eye relies upon the theory of the mechanics of continuous media. The numerical model results from a model analysis of the vibrations of the eye using a finite element method (FEM) for discretization. The eye can be schematically represented as a prestressed shell, filled by an inviscid barotropic compressible fluid, which leads us to formulate and solve a problem of vibrations of a coupled fluid-structure system. The corneoscleral shell has been modeled as a thin and thick shell, taking into account material nonlinearities in the thick case. Numerical results obtained for the attached eye demonstrate a fair sensitivity of the resonance frequencies to the variations of the IOP; thus, founding the interest of the surveillance of the resonance frequency of the eye.

摘要

这项工作的目的是建立一个受振动影响的眼睛的力学和数值模型,特别是计算眼内压(IOP)对眼睛共振频率的影响。我们的眼睛力学模型基于连续介质力学理论。数值模型是通过使用有限元方法(FEM)对眼睛振动进行模型分析而得到的,用于离散化。眼睛可以示意性地表示为一个预应力壳,内部填充无粘性正压可压缩流体,这使我们能够制定并解决一个耦合流固系统的振动问题。考虑到厚壳情况下的材料非线性,角膜巩膜壳已被建模为薄壳和厚壳。对附着眼睛获得的数值结果表明,共振频率对IOP的变化相当敏感;因此,确立了监测眼睛共振频率的意义。

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