在同度,无支持的辐射纹中歇斯底里波长选择
1Department of Physics, University of Chicago, Chicago, IL 60637, USA. anshuman@uchicago.edu.
Soft matter
|July 12, 2023
概括
收缩的平圆环中的纹模式是由拉伸和曲能量的平衡选择的. 这导致特定的波长取决于板宽,厚度和收缩,表现出路径依赖的行为.
科学领域:
- 材料科学 材料科学 材料科学
- 固体力学 固体力学是什么
- 软物质物理学 软物质物理学
背景情况:
- 没有支的平面环扣扣在收缩时变成辐射纹模式.
- 这些图案是不对称的同度和无张力.
- 在纯曲配置中选择纹波长的机制以前是不清楚的.
研究的目的:
- 为了确定负责选择纹波长在收缩平面圆环的机制.
- 为了研究中观能量竞争在模式选择中的作用.
- 为了确定所选波长与材料/几何参数之间的关系.
主要方法:
- 使用数值模拟来研究纹现象.
- 分析的重点是介于延伸和曲能量之间的竞争,在中视尺度.
- 该研究检查了纹粗的动力停止标准.
主要成果:
- 确定了一种特征波长 (λ*),取决于板宽 (w),厚度 (t) 和收缩 (Δ): λ* ∼ w^2/3) t^1/3) Δ^-1/6).
- 这种选择的波长作为一个动力停止标准,用于纹粗化低于λ*.
- 更粗的波长 (λ λ*) 支持,没有处罚.
结论:
- 在中观尺度上的拉伸和曲能量之间的竞争决定了所选择的纹波长.
- 波长的选择是取决于路径或歇斯底里,因为它取决于初始条件.
- 这些发现提供了对薄弹性板中的图案形成的洞察力.
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