局部和全球测量塞磁盘包装的剪切模块
Shiyun Zhang1,2, Weiwei Jin2, Dong Wang2
1Department of Physics, University of Science and Technology of China, Hefei, Anhui 230026, China.
Physical review. E
|June 17, 2023
概括
堵塞的磁盘包装可能具有负剪模,影响其整体机械响应. 计算研究揭示了这些负模块如何对全球剪切模块及其缩放行为作出贡献.
科学领域:
- 软物质物理学 软物质物理学
- 计算力学 计算力学 计算力学
- 材料科学 材料科学 材料科学
背景情况:
- 排斥性,无摩擦性磁盘的堵塞包装是凝聚物质物理学的基本模型.
- 这些系统表现出复杂的机械行为,包括在同位压缩下可能出现负全球剪模.
- 了解负剪模的贡献对于预测宏观机械反应至关重要.
研究的目的:
- 以计算方式研究负剪模块在卡住磁盘包装机械反应中的作用.
- 分析全球和本地剪切模块的缩放关系和概率分布.
- 探索这些包装中的局部剪切模块的空间相关性.
主要方法:
- 无摩擦磁盘包装的压力控制的同源压缩模拟.
- 将总体平均的全球剪切模块分解为正和负模块的贡献.
- 德劳内三角法用于定义子系统并计算局部剪切模块.
- 对权力定律缩放,概率分布和空间相关函数的分析.
主要成果:
- 阳性和阴性剪模都对全球剪模贡献,影响其缩放行为.
- 全球剪切模块 (P(G)) 的概率分布表现出普遍的缩放和从马分布过渡到偏斜正常分布,压力密度增加 (pN^2).
- 即使在具有正的全球剪模的系统中,局部剪模也可能是负的,并且它们的空间相关性在更高密度时变得具有长距离.
结论:
- 负切割模块在卡住的磁盘包装的整体机械性能中起着重要作用.
- 切削模块的统计分布是普遍的,取决于无维压密度参数pN^2.2.
- 局部机械异质性,以负局部剪切模块表示,表现出新兴的远程相关性.
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