Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA.
Phys Rev Lett. 2010 Sep 17;105(12):125505. doi: 10.1103/PhysRevLett.105.125505.
We investigate the origins of the widely observed "en passant" crack pattern, which forms through interactions between two approaching cracks. A rectangular elastic plate is notched on each long side and then subjected to quasistatic uniaxial strain from the short side. The two cracks propagate along approximately straight paths until they pass each other, after which they curve and release a lenticular fragment. We find that, for materials with diverse mechanical properties, the shape of this fragment has an aspect ratio of 2:1, with the length scale set by the initial crack offset s and the time scale set by the ratio of s to the pulling velocity. The cracks have a universal square root shape, which we understand by using a simple geometric model of the crack-crack interaction.
我们研究了广泛观察到的“en passant”裂纹模式的起源,该模式是通过两个接近的裂纹相互作用形成的。一个矩形弹性板在每个长边处开槽,然后从短边施加准静态单轴应变。两个裂纹沿着近似直线的路径传播,直到它们相互穿过,之后它们会弯曲并释放出一个透镜状碎片。我们发现,对于具有不同力学性能的材料,该碎片的形状具有 2:1 的纵横比,长度尺度由初始裂纹偏移 s 确定,时间尺度由 s 与拉伸速度的比值确定。裂纹具有通用的平方根形状,我们通过使用裂纹-裂纹相互作用的简单几何模型来理解这一点。