沿非均匀平面界面的动态裂纹扩展：与一维板条的相互作用
Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips
摘要：
我们研究理论和数值快速扩展的拉伸裂纹沿一维带周期性演变的韧性。在这样的动态断裂制度，裂纹前沿波的形式和运输沿裂纹边缘的速度小于瑞利波的速度和取决于裂纹速度的前沿扰动。在这种配置中，驻波决定了局部裂纹前沿速度的时空演变，这需要一个特定的缩放形式。对问题的短时间和长时间限制的分析检查揭示了与条带波长、韧性对比和整体断裂速度的参数依赖性。最后讨论了任意形状的一维条带的含义和推广。
英文摘要：
We examine theoretically and numerically fast propagation of a tensile crack along unidimensional strips with periodically evolving toughness. In such dynamic fracture regimes, crack front waves form and transport front disturbances along the crack edge at speed less than the Rayleigh wave speed and depending on the crack speed. In this configuration, standing front waves dictate the spatio-temporal evolution of the local crack front speed, which takes a specific scaling form. Analytical examination of both the short-time and long-time limits of the problem reveals the parameter dependency with strip wavelength, toughness contrast and overall fracture speed. Implications and generalization to unidimensional strips of arbitrary shape are lastly discussed.
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