Wang Meng, Fourmeau Marion, Zhao Lv, Legrand Franck, Nélias Daniel
Univ Lyon, Institut National des Sciences Appliquées (INSA)-Lyon, CNRS UMR5259, Laboratoire de Mécanique des Contacts et des Structures (LaMCoS), F-69621, France.
Department of Mechanics, Huazhong University of Science and Technology, Wuhan, 430074, China;
Proc Natl Acad Sci U S A. 2020 Jul 21;117(29):16872-16879. doi: 10.1073/pnas.1916805117. Epub 2020 Jul 6.
When a dynamic crack front travels through material heterogeneities, elastic waves are emitted, which perturb the crack and change the morphology of the fracture surface. For asperity-free crystalline materials, crack propagation along preferential cleavage planes is expected to present a smooth crack front and form a mirror-like fracture surface. Surprisingly, we show here that in single crystalline silicon without material asperities, the crack front presents a local kink during high-speed crack propagation. Meanwhile, local oscillations of the crack front, which can move along the crack front, emerge at the front kink position and generate periodic fracture surface corrugations. They grow from angstrom amplitude to a few hundred nanometers and propagate with a long lifetime at a frequency-dependent speed, while keeping a scale-independent shape. In particular, the local front oscillations collide in a particle-like manner rather than proceeding with a linear superposition upon interaction, which presents the characteristic of solitary waves. We propose that such a propagating mode of the crack front, which results from the fracture energy fluctuation at a critical crack speed in the silicon crystal, can be considered as nonlinear elastic waves that we call "corrugation waves."
当动态裂纹前沿穿过材料不均匀性时,会发射弹性波,这些弹性波会干扰裂纹并改变断裂表面的形态。对于无粗糙度的晶体材料,沿优先解理面的裂纹扩展预计会呈现光滑的裂纹前沿并形成镜面状断裂表面。令人惊讶的是,我们在此表明,在没有材料粗糙度的单晶硅中,裂纹前沿在高速裂纹扩展过程中会出现局部扭折。同时,裂纹前沿的局部振荡会出现在前沿扭折位置,这种振荡可沿裂纹前沿移动,并产生周期性的断裂表面波纹。它们从埃级振幅增长到几百纳米,并以与频率相关的速度长时间传播,同时保持与尺度无关的形状。特别是,局部前沿振荡以类似粒子的方式相互碰撞,而不是在相互作用时进行线性叠加,这呈现出孤立波的特征。我们提出,这种裂纹前沿的传播模式是由硅晶体中临界裂纹速度下的断裂能量波动引起的,可被视为我们称为“波纹波”的非线性弹性波。