断裂产生的波纹孔
Undular Bores Generated by Fracture
摘要：
波纹孔或分散冲击波是作为两个基本状态之间的振荡过渡传播的非稳态波，其中振荡结构随着行进距离逐渐扩展并且振幅增大。我们证明了第一次，使用高速逐点光弹性，在固体（聚甲基丙烯酸甲酯）预应变酒吧自然和诱导拉伸断裂的波浪孔的产生。对于与我们的实验相关的距离，粘弹性扩展Korteweg - de Vries（veKdV）方程显示，提供了非常好的协议与关键观察到的实验功能，适当选择材料参数，而在孔的前部的一些局部功能也被捕获合理以及由线性化附近的非零预应变水平。实验和理论方法为固体中弥散冲击波的研究和应用提供了新的途径和分析工具。
英文摘要：
Undular bores, or dispersive shock waves, are non-stationary waves propagating as oscillatory transitions between two basic states, in which the oscillatory structure gradually expands and grows in amplitude with distance travelled. We demonstrate for the first time, using high-speed pointwise photoelasticity, the generation of undular bores in solid (polymethylmethacrylate) pre-strained bars by natural and induced tensile fracture. For the distances relevant to our experiments, the viscoelastic extended Korteweg - de Vries (veKdV) equation is shown to provide very good agreement with the key observed experimental features for suitable choice of material parameters, while some local features at the front of the bore are also captured reasonably well by the linearisation near the nonzero pre-strain level. The experimental and theoretical approaches presented open new avenues and analytical tools for the study and application of dispersive shock waves in solids.
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