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arXiv 1901.07342cond-mat.softcond-mat.other
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颗粒介质中的接触滚动与变形

Contact rolling and deformation in granular media

Matthew R. Kuhn, Katalin Bagi

摘要:

本文考虑在不同尺度的旋转颗粒材料:单个颗粒的旋转,滚动和刚性旋转的颗粒对,旋转的相互作用的一个粒子在其集群的邻居,和旋转的材料区域。二维和三维(2D和3D)组件的数值,离散元方法(DEM)模拟表明,颗粒旋转是不同的,它们随着应变增加,直到材料开始软化,它们在空间模式中表示,即使在小应变。一对粒子的相互作用是三种模式的组合:接触变形模式、接触滚动模式和刚性对运动模式。每种模式的定义,包括四个不同的定义接触滚动。还定义了滚动卷曲,其描述了相邻颗粒围绕中心颗粒或子区域的累积滚动。在更大的尺度上,材料的变形和旋转是在材料的小的子区域内测量的,并且材料变形可以归因于接触滚动、接触变形和颗粒对的刚性旋转的单独贡献。在二维和三维模拟中测量了接触轧制的多样性和延伸。观察到一个占主导地位的滚动模式,这类似于滚动齿轮的相互作用。该图案可以延伸到距中心颗粒至少六个颗粒直径的距离。

英文摘要:

The paper considers rotations at different scales in granular materials: the rotations of individual particles, the rolling and rigid-rotation of particle pairs, the rotational interactions of a particle within its cluster of neighbors, and the rotation of material regions. Numerical, Discrete Element Method (DEM) simulations on two- and three-dimensional (2D and 3D) assemblies show that particle rotations are diverse, that they increase with strain until the material begins to soften, and that they are expressed in spatial patterns, even at small strains. The interactions of a pair of particles are a combination of three modes: a contact deformation mode, a contact rolling mode, and a mode of rigid pair motions. Definitions are presented for each mode, including four different definitions of contact rolling. A rolling curl is also defined, which describes the cumulative rolling of neighboring particles around a central particle or sub-region. At a larger scale, material deformation and rotation are measured within small sub-regions of material, and the material deformation can be attributed to separate contributions of contact rolling, contact deformation, and the rigid-rotation of particle pairs. The diversity and extend of contact rolling were measured in 2D and 3D simulations. A dominant rolling pattern was observed, which resembles the interactions of rolling gears. This pattern can extend to distances of at least six particle diameters from a central particle.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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