Bonamy D, Ponson L, Prades S, Bouchaud E, Guillot C
Service de Physique et Chimie des Surfaces et Interfaces, DSM/DRECAM/SPCSI, CEA Saclay, F-91191 Gif sur Yvette, France.
Phys Rev Lett. 2006 Sep 29;97(13):135504. doi: 10.1103/PhysRevLett.97.135504.
We investigate the scaling properties of postmortem fracture surfaces in silica glass and glassy ceramics. In both cases, the 2D height-height correlation function is found to obey Family-Viseck scaling properties, but with two sets of critical exponents, in particular, a roughness exponent zeta approximately 0.75 in homogeneous glass and zeta approximately 0.4 in glassy ceramics. The ranges of length scales over which these two scalings are observed are shown to be below and above the size of the process zone, respectively. A model derived from linear elastic fracture mechanics in the quasistatic approximation succeeds to reproduce the scaling exponents observed in glassy ceramics. The critical exponents observed in homogeneous glass are conjectured to reflect the damage screening occurring for length scales below the size of the process zone.
我们研究了石英玻璃和玻璃陶瓷中死后断裂表面的标度性质。在这两种情况下，二维高度-高度关联函数都被发现服从法米利-维塞克标度性质，但有两组临界指数，具体而言，在均匀玻璃中粗糙度指数ζ约为0.75，在玻璃陶瓷中ζ约为0.4。观察到这两种标度的长度尺度范围分别显示在过程区尺寸以下和以上。从准静态近似下的线弹性断裂力学导出的一个模型成功地再现了在玻璃陶瓷中观察到的标度指数。推测在均匀玻璃中观察到的临界指数反映了在过程区尺寸以下的长度尺度上发生的损伤屏蔽。
