Statistical properties of fractures in damaged materials

被引：7

作者：

Gabrielli, A

Cafiero, R

Caldarelli, G

机构：

[1] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy

[2] Univ Rome La Sapienza 1, INFM, Sez Roma 1, I-00185 Rome, Italy

[3] Univ Rome La Sapienza 1, Dipartimento Fis, I-00185 Rome, Italy

[4] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

[5] Univ Cambridge, Cavendish Lab, Condensed Matter Theory Grp, Cambridge CB3 0HE, England

来源：

EUROPHYSICS LETTERS | 1999年 / 45卷 / 01期

关键词：

D O I：

10.1209/epl/i1999-00124-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce a model for the dynamics of mud cracking in the limit of of extremely thin layers. In this model the growth of fracture proceeds by selecting the part of the material with the smallest (quenched) breaking threshold. In addition, weakening affects the area of the sample neighbour to the crack. Due to the simplicity of the model, it is possible to derive some analytical results. In particular, we find that the total time to break down the sample grows with the dimension L of the lattice as L-2 even though the percolating cluster has a non-trivial fractal dimension. Furthermore, we obtain a formula for the mean weakening with time of the whole sample.

引用

页码：13 / 19

页数：7

共 19 条

[11] RECENT GEOMORPHIC CHANGES IN PLAYAS OF WESTERN UNITED STATES [J].