论文标题

剪切硬化在干扰过渡附近的无摩擦无定形固体中

Shear hardening in frictionless amorphous solids near the jamming transition

论文作者

Pan, Deng, Meng, Fanlong, Jin, Yuliang

论文摘要

干扰过渡通常由压缩下的刚性迅速提高(即压缩硬化),在无定形材料中无处不在。在这里,我们研究了由数值模拟产生的深层退火无摩擦包装中的剪切硬化,报告了压缩硬化中不存在临界量表。我们证明硬化是剪切引起的记忆破坏的自然结果。基于弹性理论,我们揭示了剪切硬化的两个独立的显微镜起源:(i)相互作用键数的增加以及(ii)键在键方向中各向异性和远程相关性的出现,后者强调了压缩和剪切强化之间的基本差异。通过建立特定于各向异性的物理定律,我们的工作完成了干扰过渡的关键和普遍性,以及无定形固体的弹性理论。

The jamming transition, generally manifested by a rapid increase of rigidity under compression (i.e., compression hardening), is ubiquitous in amorphous materials. Here we study shear hardening in deeply annealed frictionless packings generated by numerical simulations, reporting critical scalings absent in compression hardening. We demonstrate that hardening is a natural consequence of shear-induced memory destruction. Based on an elasticity theory, we reveal two independent microscopic origins of shear hardening: (i) the increase of the interaction bond number and (ii) the emergence of anisotropy and long-range correlations in the orientations of bonds, the latter highlights the essential difference between compression and shear hardening. Through the establishment of physical laws specific to anisotropy, our work completes the criticality and universality of jamming transition, and the elasticity theory of amorphous solids.

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