Laboratoire de Physique de l'École Normale Supérieure, Université PSL, CNRS, Sorbonne Université, Université de Paris, 75005 Paris, France.
Phys Rev E. 2019 Sep;100(3-1):032140. doi: 10.1103/PhysRevE.100.032140.
The response of amorphous solids to an applied shear deformation is an important problem, both in fundamental and in applied research. To tackle this problem, we focus on a system of hard spheres in infinite dimensions as a solvable model for colloidal systems and granular matter. The system is prepared above the dynamical glass transition density, and we discuss the phase diagram of the resulting glass under compression, decompression, and shear strain, expanding on previous results [Urbani and Zamponi, Phys. Rev. Lett. 118, 038001 (2017)PRLTAO0031-900710.1103/PhysRevLett.118.038001]. We show that the solid region is bounded by a "shear jamming" line, at which the solid reaches close packing, and a "shear yielding" line, at which the solid undergoes a spinodal instability towards a liquid flowing phase. Furthermore, we characterize the evolution of these lines upon varying the glass preparation density. This paper aims to provide a general overview on yielding and jamming phenomena in hard-sphere systems by a systematic exploration of the phase diagram.
无定形固体对施加剪切变形的响应是一个重要问题，无论是在基础研究还是应用研究中。为了解决这个问题，我们专注于无限维度的硬球系统，将其作为胶体系统和颗粒物质的可解模型。该系统在动力学玻璃转变密度以上制备，并在压缩、减压和剪切应变下讨论所得玻璃的相图，扩展了以前的结果[Urbani 和 Zamponi，Phys. Rev. Lett. 118, 038001 (2017)PRLTAO0031-900710.1103/PhysRevLett.118.038001]。我们表明，固体区域由“剪切阻塞”线和“剪切屈服”线限定，在剪切阻塞线处，固体达到紧密堆积，在剪切屈服线处，固体发生向流动相液体的旋节失稳。此外，我们还描述了在改变玻璃制备密度时这些线的演化。本文旨在通过系统探索相图，为硬球系统中的屈服和阻塞现象提供一个总体概述。
