Transient dynamics of an elastic Hele-Shaw cell due to external forces with application to impact mitigation
Transient dynamics of an elastic Hele-Shaw cell due to external forces with application to impact mitigation
复制标题
外力引起的弹性 Hele-Shaw 单元的瞬态动力学及其应用于缓解影响
DOI：
10.1017/jfm.2016.418
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发表时间：
2015
影响因子：
3.7
通讯作者：
A. Gat
中科院分区：
文献类型：
--
作者：
A. Tulchinsky;A. Gat
本文研究了刚性表面与平行弹性板之间窄缝中粘性液体的瞬态动力学。弹性板由于外部施加的时变压力场而变形。我们通过润滑近似和Kirchhoff-Love板理论的板变形来模拟流场。我们获得了一个自相似的解决方案的情况下，外部点力作用在弹性板。导出了施加外力过程中和施加外力后的压力场和变形场，并给出了封闭形式的表达式。我们研究了一个分布的外部压力，空间均匀，线性增加，随着时间的推移，作用在弹性板在有限的区域，并在有限的时间段内，类似于粘弹性相互作用的时间尺度。弹性和粘度之间的相互作用示出减少一个数量级的压力内的Hele-Shaw细胞相比，外部施加的压力。因此，结果表明，弹性Hele-Shaw配置可以用来实现显着的影响缓解。
We study the transient dynamics of a viscous liquid contained in a narrow gap between a rigid surface and a parallel elastic plate. The elastic plate is deformed due to an externally applied time-varying pressure field. We model the flow field via the lubrication approximation and the plate deformation by the Kirchhoff–Love plate theory. We obtain a self-similarity solution for the case of an external point force acting on the elastic plate. The pressure and deformation field during and after the application of the external force are derived and presented by closed-form expressions. We examine a distributed external pressure, spatially uniform and linearly increasing with time, acting on the elastic plate over a finite region and during a finite time period, similar to the viscous–elastic interaction time-scale. The interaction between elasticity and viscosity is shown to reduce by an order of magnitude the pressure within the Hele-Shaw cell compared with the externally applied pressure. The results thus suggest that elastic Hele-Shaw configurations may be used to achieve significant impact mitigation.
影响因子：
8.6
作者：
Pihler-Puzovic, D.;Illien, P.;Juel, A.
通讯作者：
Juel, A.
位移在弹性膜下流动。
影响因子：
3.7
作者：
Pihler-Puzovic D
通讯作者：
Pihler-Puzovic D