扭曲弹性带的计算模型
Madelyn Leembruggen1, Jovana Andrejevic2, Arshad Kudrolli3
1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.
Physical review. E
|August 16, 2023
概括
我们开发了一个模拟模型,用于薄的弹性带,准确地复制复杂的变形模式,如纹和折叠在扭曲和张力下. 我们的发现提升了对纹行为及其与理论模型的关系的理解.
科学领域:
- 固体力学 固体力学是什么
- 材料科学 材料科学 材料科学
- 计算物理 计算物理
背景情况:
- 薄弹性结构在机械应力下表现出复杂的变形模式.
- 了解这些模式对于设计和预测柔性材料的行为至关重要.
研究的目的:
- 模拟和研究经受扭曲和张力的薄弹性带的变形模式.
- 将模拟结果与已建立的理论模型进行比较,例如Föppl-von Kármán方程.
主要方法:
- 开发一个不规则的格子质量弹模型用于模拟.
- 应用端到端扭转和张力参数的系统变化.
- 模拟输出的分析,包括变形模式,纹波长和应力配置文件.
主要成果:
- 该模型成功地复制了实验观察到的模式:螺旋形状,纵向纹,纹螺旋形状,循环,横向纹和调琴折叠.
- 纹出现的扭曲角度与Föppl-von Kármán方程一致,但纵向纹波长显示出复杂的张力依赖.
- 紧紧的边缘可以抑制边缘附近的纹;纹可以限制压缩大小,但不能消除它.
- 纹形成的宽度与远离值的预测保持一致,而端到端的收缩更好地匹配接近值的预测,随着紧张的增加.
结论:
- 模拟模型提供了一个强大的和直观的工具,用于研究薄弹性带力学.
- 模拟与理论之间的差异凸显了对该系统进行先进的理论分析的需要.
- 结果提供了关于弹性材料中扭曲,张力和纹现象的相互作用的见解.
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