裂开的绑定膜的形状
A D Chen1, M C Gandikota1,2, A Cacciuto1
1Department of Chemistry, Columbia University, 3000 Broadway, New York, NY 10027, USA. ac2822@columbia.edu.
Soft matter
|January 15, 2025
概括
灵活的弹性表面 (膜) 通常保持平坦. 然而,用平行切割切割内部键会导致控制的崩成复杂的形状,与随机键去除不同.
科学领域:
- 物理 物理学 物理
- 材料科学 材料科学 材料科学
- 聚合物物理 聚合物物理
背景情况:
- 灵活的自我避开弹性表面 (膜) 呈现平坦度,无论温度或曲刚度如何.
- 以前的研究表明,随机的结合去除不会改变膜的整体形状.
研究的目的:
- 通过系统地切割内部键,研究弹性表面的拓变化.
- 了解受控的键断裂如何影响膜形态.
主要方法:
- 灵活的自我避开弹性表面的数值模拟.
- 使用纵向平行切口系统地切割内部键.
- 分析由此产生的形态和旋转半径.
主要成果:
- 用纵向平行切割切割弹性表面,导致系统崩成复杂的形态.
- 由此产生的形状可以通过改变切片的数量和长度来控制.
- 对于具有曲刚度 (无自回避) 的膜,重新缩放的变量产生了对旋转半径与切口数的通用主曲线.
结论:
- 控制的拓变化,特别是平行切割,可以诱导灵活的弹性表面的可预测的形状转换.
- 这项研究揭示了在拓修改下更简单的膜模型中普遍的缩放行为.
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