Kadono Toshihiko, Arakawa Masahiko
Earthquake Research Institute, University of Tokyo, Tokyo 113-0032, Japan.
Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Mar;65(3 Pt 2A):035107. doi: 10.1103/PhysRevE.65.035107. Epub 2002 Mar 6.
Crack propagation within thin glass plates under high shock loading is directly observed using a high speed camera. The fractal dimension of cracks and the power-law exponents of the fragment area distributions are investigated as a function of time. Two models of the fragmentation process are proposed: in one case the cracks are net-like, while in the other the cracks are tree-like, and the relations between fractal dimension and power-law exponent are estimated and compared with the experimental results. It appears that at early stages of the fragmentation process the relation is described by the latter case, while at later stages it approaches that of the former case.
使用高速摄像机直接观察了薄玻璃板在高冲击载荷下的裂纹扩展。研究了裂纹的分形维数和碎片面积分布的幂律指数随时间的变化。提出了两种破碎过程模型：一种情况下裂纹呈网状，另一种情况下裂纹呈树状，并估计了分形维数与幂律指数之间的关系，并与实验结果进行了比较。结果表明，在破碎过程的早期阶段，这种关系由后一种情况描述，而在后期阶段，它接近前一种情况。
