论文标题
沿异质平面接口的动态裂纹生长:与一维条的相互作用
Dynamic crack growth along heterogeneous planar interfaces: interaction with unidimensional strips
论文作者
论文摘要
我们在理论上和数值上快速地沿着一维带的拉伸裂纹以定期发展的韧性进行了快速的传播。在这种动态裂缝状态下,裂纹前波形成和沿裂纹边缘的运输前扰动速度小于雷利波速度,并取决于裂纹速度。在这种配置中,站立前波决定了局部裂纹前速的时空演化,该裂纹前速采用特定的缩放形式。对问题的短期和长期限制的分析检查揭示了参数的依赖性,带有条形波长,韧性对比度和整体断裂速度。最后讨论了对任意形状的一维链条的含义和概括。
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.