论文标题
非植物颗粒位移的特征和相关性在althermal无定形材料的塑性变形中
Characteristics and Correlation of Nonaffine Particle Displacements in the Plastic Deformation of Athermal Amorphous Materials
论文作者
论文摘要
当将无定形固体均匀变形时，响应表现出异质塑料不稳定性，并具有局部合作重排的颗粒簇。异质行为在决定非晶固体的机械性能中起着重要作用。在本文中，我们采用计算机模拟来研究这些簇的特征和空间相关性，这些簇的特征是在简单的剪切变形下，在静止的准固定限制下的无定形固体中的非伴随位移。发现具有较大位移的簇在弹性方案的空间中均匀分布，然后在屈服后在系统跨系统剪切带中进行定位。位移场的分布表现出具有强烈依赖变形的指数的幂律性质。非携带位移表现出强烈的空间相关性，随着应变的增加而变得长期以来。从我们的结果来看，很明显，相关函数的衰减在弹性方面的性质上是指数的。屈服过渡的标志是衰减的突然变化，之后被幂律很好地描述。这些结果表明，在稳定流程中，非伴随相关性的无标度特征。发现这些结果是强大的，并且独立于计算总非伴随位移的应变窗口。
When an amorphous solid is deformed homogeneously, the response exhibits heterogeneous plastic instabilities with localized cooperative rearrangement of cluster of particles. The heterogeneous behavior plays an important role in deciding the mechanical properties of amorphous solids. In this paper, we employ computer simulation to study the characteristics and the spatial correlations of these clusters characterized by the non-affine displacements in amorphous solids under simple shear deformation in the athermal quasistatic limit. The clusters with large displacements are found to be homogeneously distributed in space in the elastic regime, followed by a localization within a system-spanning shear band after yielding. The distributions of the displacement field exhibit power-law nature with exponents strongly dependent on the deformation. The non-affine displacements show strong spatial correlations which become long-ranged with increasing strain. From our results, it is evident that the decay of the correlation functions is exponential in nature in the elastic regime. The yielding transition is marked by an abrupt change in the decay after which it is well described by power-law. These results demonstrate a scale-free character of non-affine correlations in the stead flow regime. These results are found to be robust and independent of the strain window over which the total non-affine displacement is calculated.
