论文标题
具有有限剪切应变的分散摩擦晶粒的二维无定形固体的应力 - 应变曲线的特征值分析
Eigenvalue analysis of stress-strain curve of two-dimensional amorphous solids of dispersed frictional grains with finite shear strain
论文作者
论文摘要
通过使用Hessian矩阵的特征值分析来确定二维摩擦分散谷物与谐波电位相互作用的二维摩擦分散谷物的应力 - 应变曲线。获得晶粒构型后,即使有应力雪崩引起的塑性变形,基于特征值分析的应力 - 应变曲线几乎完全一致。与天真的预期不同,我们模型中的特征值并不表示压力滴落事件的任何前体。
The stress-strain curve of two-dimensional frictional dispersed grains interacting with a harmonic potential without considering the dynamical slip under a finite strain is determined by using eigenvalue analysis of the Hessian matrix. After the configuration of grains is obtained, the stress-strain curve based on the eigenvalue analysis is in almost perfect agreement with that obtained by the simulation, even if there are plastic deformations caused by stress avalanches. Unlike the naive expectation, the eigenvalues in our model do not indicate any precursors to the stress-drop events.