Wang Yinqiao, Wang Yujie, Zhang Jie
School of Physics and Astronomy, Shanghai Jiao Tong University, 800 Dong Chuan Road, 200240, Shanghai, China.
Institute of Natural Sciences, Shanghai Jiao Tong University, 200240, Shanghai, China.
Nat Commun. 2020 Aug 28;11(1):4349. doi: 10.1038/s41467-020-18217-x.
One long-lasting puzzle in amorphous solids is shear localization, where local plastic deformation involves cooperative particle rearrangements in small regions of a few inter-particle distances, self-organizing into shear bands and eventually leading to the material failure. Understanding the connection between the structure and dynamics of amorphous solids is essential in physics, material sciences, geotechnical and civil engineering, and geophysics. Here we show a deep connection between shear localization and the intrinsic structures of internal stresses in an isotropically jammed granular material subject to shear. Specifically, we find strong (anti)correlations between the micro shear bands and two polarized stress fields along two directions of maximal shear. By exploring the tensorial characteristics and the rotational symmetry of force network, we reveal that such profound connection is a result of symmetry breaking by shear. Finally, we provide the solid experimental evidence of long-range correlated inherent shear stress in an isotropically jammed granular system.
非晶态固体中一个长期存在的难题是剪切局部化，即局部塑性变形涉及在几个粒子间距的小区域内粒子的协同重排，自组织成剪切带并最终导致材料失效。理解非晶态固体的结构与动力学之间的联系在物理学、材料科学、岩土工程和土木工程以及地球物理学中至关重要。在此，我们展示了在承受剪切的各向同性堵塞颗粒材料中，剪切局部化与内应力的固有结构之间存在着深刻的联系。具体而言，我们发现微剪切带与沿最大剪切的两个方向的两个极化应力场之间存在强（反）相关性。通过探索力网络的张量特性和旋转对称性，我们揭示了这种深刻的联系是剪切导致对称性破缺的结果。最后，我们提供了各向同性堵塞颗粒系统中长程相关固有剪应力的可靠实验证据。
