The time evolution and spatial correlations of nonaffine displacements in deformed amorphous solids are investigated using molecular dynamics simulations. The three-dimensional model glass is represented via the binary mixture, which is slowly annealed well below the glass transition temperature and then sheared at a constant strain rate. It is shown that with increasing strain, the typical size of clusters of atoms with large nonaffine displacements increases, and these clusters remain spatially homogeneously distributed, until the yielding point when mobile atoms become localized within a system-spanning shear band. Furthermore, the yielding transition is associated with an abrupt change in the spatial correlation of nonaffine displacements, which varies from exponential to power-law decay. We also find that the height of the first peak in the pair correlation function of small atoms exhibits a distinct increase at the yielding strain. These results are discussed in relation to the yielding transition in amorphous materials under cyclic loading.

使用分子动力学模拟研究了变形的无定形固体中非仿射位移的时间演化和空间相关性。三维模型玻璃通过将二元混合物缓慢退火至远低于玻璃化转变温度，然后以恒定应变速率剪切。结果表明，随着应变的增加，非仿射位移大的原子团簇的典型尺寸增加，并且这些团簇在空间上保持均匀分布，直到当可移动原子局限在整个系统的剪切带内时的屈服点。此外，屈服过渡与非仿射位移的空间相关性的突然变化相关，该变化从指数到幂律衰减变化。我们还发现，小原子的成对相关函数中第一个峰的高度在屈服应变上显示出明显的增加。这些结果与循环载荷下非晶态材料的屈服转变有关。