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Instabilities in confined elastic layers under tension: Fringe, fingering and cavitation

机译:受约束的受限弹性层中的不稳定性:边缘,指尖和空化

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摘要

Under tension, confined elastic layers can exhibit various modes of mechanical instabilities, including cavitation, fingering and fringe instabilities. While the cavitation has been extensively studied, the fingering and fringe instabilities have not been well understood, and the relations and interactions of these instabilities have not been explored yet. In this paper, we systematically study the formation, transition, interaction and co-existence of mechanical instabilities in confined elastic layers under tension. Through combined experimental, numerical and theoretical analysis, we find that the mode of instability is determined by both geometry and mechanical properties of the elastic layer through two non-dimensional parameters: layer's lateral dimension over its thickness and elastocapillary length over the defect size. A phase diagram is calculated to quantitatively predict the occurrence of any mode of instability. We further show cavitation instability and fingering instability can coexist and interact with each other in one elastic layer. The current work can help the design of robust adhesives by rationally harnessing the desired mode of instabilities while suppressing the other modes.
机译:在张力下,受限的弹性层会表现出各种机械不稳定性模式,包括气蚀,指法和边缘不稳定性。虽然已经对气穴现象进行了广泛的研究,但对指法和条纹不稳定性的理解还不够清楚,并且尚未探讨这些不稳定性的关系和相互作用。在本文中,我们系统地研究了受拉的受限弹性层中机械不稳定性的形成,过渡,相互作用和共存。通过组合的实验,数值和理论分析,我们发现不稳定性的模式是由弹性层的几何形状和力学性能通过两个无量纲参数确定的:层的横向尺寸超过其厚度,弹性毛细管长度超过缺陷尺寸。计算相图以定量预测任何不稳定模式的发生。我们进一步显示,空化不稳定性和指状不稳定性可以在一个弹性层中共存并相互影响。当前的工作可以通过合理利用所需的不稳定性模式,同时抑制其他模式来帮助设计坚固的粘合剂。

著录项

  • 来源
    《Journal of the Mechanics and Physics of Solids》 |2017年第9期|229-256|共28页
  • 作者单位

    Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;

    Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;

    Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;

    Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA,Department of Civil and Environmental Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Fringe instability; Fingering instability; Adhesion; Cavitation; Confined layers;

    机译:边缘不稳定;指法不稳定;附着力;空化密闭层;

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