Dynamics of Slip, Fracture, and Failure in Driven Elastic Media

Sethna我建议研究两组特定模型中屈服和失效的动力学和模式形成，一组描述弹性介质中的断裂和滑移，另一组描述滑动电荷密度波导体中的相位滑移。 在前者，我建议研究模型，其中包括非线性动力学过程和无序。 动力学和无序在确定应力材料的复杂结构和响应方面无疑都很重要，但迄今为止的大多数方法通常只处理其中一个。 在第二类模型描述电荷密度波（CDW）导体，我建议研究模型，使CDW“撕裂”通过相位滑移过程。 理论和实验证据表明，在CDW的实验观察到的噪声谱来自这样的过程。 这两个问题都代表了相当大的计算任务，但我希望它们可以在并行架构中有效地模拟。

9309833 Sethna I propose to investigate the dynamics and pattern formation of yield and failure in two specific sets of models, one describing fracture and slip in elastic media, and another addressing phase slip in sliding charge density wave conductors. In the former, I propose to study models which incorporate both nonlinear dynamical processes and disorder. Both dynamics and disorder are no doubt important in determining the complex structure and response of stressed materials, but most approaches to date typically treat one or the other. In the second class of models describing charge density wave (CDW) conductors, I propose to study models which allow the CDW to "tear" via phase slip processes. Theoretical and experimental evidence suggest that the noise spectra observed experimentally in CDW's arises from such processes. Both these problems represent sizable computational tasks, but I expect that they can be simulated effectively in parallel architectures.