论文标题

比较压缩与剪切的比较,用于悬浮液中无摩擦磁盘的简单模型

Comparison of compression vs shearing near jamming, for a simple model of athermal frictionless disks in suspension

论文作者

Peshkov, Anton, Teitel, S.

论文摘要

使用简化的模型,我们可以在数值上研究二维,二维对各向同性和单轴压缩的无摩擦磁盘的响应,以及对纯{\ color {black {black}和simple}的剪切,所有这些均以有限的恒定恒定应变率$ \ dot的剪切。我们表明,各向同性和单轴压缩导致相同的干扰堆积分数$ ϕ_j $,而纯剪切和简单的剪切诱导的干扰发生在稍高的$ ϕ_j^*$上,与以前发现的简单剪切相一致。对纯剪切的临界缩放分析给出了与先前针对各向同性压缩和简单剪切的临界指数一致的。使用定向订单参数用于接触债券方向,我们以最低的列表和更高的$ 2N $倍订单比较了力和接触网络的各向异性。

Using a simplified model for a non-Brownian suspension, we numerically study the response of athermal, overdamped, frictionless disks in two dimensions to isotropic and uniaxial compression, as well as to pure {\color{black}and simple} shearing, all at finite constant strain rates $\dotε$. We show that isotropic and uniaxial compression result in the same jamming packing fraction $ϕ_J$, while pure shear and simple shear induced jamming occurs at a slightly higher $ϕ_J^*$, consistent with that found previously for simple shearing. A critical scaling analysis of pure shearing gives critical exponents consistent with those previously found for both isotropic compression and simple shearing. Using orientational order parameters for contact bond directions, we compare the anisotropy of the force and contact networks at both lowest nematic order, as well as higher $2n$-fold order.

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