论文标题
刚性控制的跨界:从旋转到严重失败
Rigidity-Controlled Crossover: From Spinodal to Critical Failure
论文作者
论文摘要
无序固体失败伴随着间歇性波动,在广泛的尺度上延伸。隐含的缩放率先前与旋转或临界点有关。我们使用分析性透明的平均场模型来表明两个类比在脆性到脱侧过渡附近相关。我们的研究表明,除了淬火障碍的强度外,还可以使用适当选择的全球刚度度量(连通性)来调整系统的关键性。通过将刚性解释为及时的变量,我们揭示了地震类型的临界故障和汉堡湍流之间的有趣相似之处。
Failure in disordered solids is accompanied by intermittent fluctuations extending over a broad range of scales. The implied scaling has been previously associated with either spinodal or critical points. We use an analytically transparent mean-field model to show that both analogies are relevant near the brittle-to-ductile transition. Our study indicates that in addition to the strength of quenched disorder, an appropriately chosen global measure of rigidity (connectivity) can be also used to tune the system to criticality. By interpreting rigidity as a timelike variable we reveal an intriguing parallel between earthquake-type critical failure and Burgers turbulence.