论文标题
骨折产生的孔
Undular Bores Generated by Fracture
论文作者
论文摘要
孔或色散冲击波是非平稳波，作为两个基本状态之间的振荡过渡，其中振荡结构逐渐扩展并随着距离行进而增长。我们首次使用高速光弹性证明了通过天然和诱导的拉伸裂缝在固体（聚甲基甲基丙烯酸酯）固体（聚甲基丙烯酸酯）预修正的棒中产生的孔。对于与我们的实验相关的距离，粘弹性扩展的korteweg -de Vries（VEKDV）方程被证明可以很好地达成与关键观察到的实验特征，可合适地选择材料参数，而在孔的前面的某些局部特征也通过在非零的非零前网级别的线性范围内合理地捕获。实验和理论方法提出了开放的新途径和分析工具，用于研究和应用固体中分散性冲击波。
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.
