论文标题
纤维束模型中的合作动力学
Cooperative dynamics in the Fiber Bundle Model
论文作者
论文摘要
我们讨论了纤维束模型中的合作故障动力学，在该模型中，各个元素或纤维是胡克弹簧，具有相同的弹簧常数但具有不同的断裂强度。当束压力或紧张时，尤其是在同等载荷共享方案中，失败的纤维支撑的负载与其余的幸存纤维平均共享。在负载共享机制中，这种平均场型统计特征（不存在波动）有助于研究模型中断裂动态的研究，并与模拟结果进行精确比较。我们打算就这些发展进行简要审查。
We discuss the cooperative failure dynamics in the Fiber Bundle Model where the individual elements or fibers are Hookean springs, having identical spring constant but different breaking strengths. When the bundle is stressed or strained, especially in the equal-load-sharing scheme, the load supported by the failed fiber gets shared equally by the rest of the surviving fibers. This mean-field type statistical feature (absence of fluctuations) in the load-sharing mechanism helped major analytical developments in the study of breaking dynamics in the model and precise comparisons with simulation results. We intend to present a brief review on these developments.
