Anomalous strength of membranes with elastic ridges.

Anomalous strength of membranes with elastic ridges.
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具有弹性脊的膜的异常强度。

DOI:
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发表时间:
2001
影响因子:
8.6
通讯作者:
T. A. Witten
T. A. Witten
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Brian Didonna;T. A. Witten

文献摘要

被引文献

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我们报告了通过将平板边界连接到自身而形成的弹性脊的压缩和屈曲的模拟研究。这些脊异常地储存能量:它们的静止能量按薄片的线性尺寸的 1/3 次方缩放。我们发现弯曲这样的山脊所需的能量是静止能量的固定倍数。因此,具有弹性脊的薄板(例如褶皱板)在质量上比平滑弯曲的板更坚固。
We report on a simulational study of the compression and buckling of elastic ridges formed by joining the boundary of a flat sheet to itself. Such ridges store energy anomalously: their resting energy scales as the linear size of the sheet to the 1/3 power. We find that the energy required to buckle such a ridge is a fixed multiple of the resting energy. Thus thin sheets with elastic ridges such as crumpled sheets are qualitatively stronger than smoothly bent sheets.