Dynamics of fractures in quenched disordered media

被引:16
作者
Caldarelli, G
Cafiero, R
Gabrielli, A
机构
[1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
[2] Univ Manchester, Dept Theoret Phys, Manchester M13 9PL, Lancs, England
[3] Max Planck Inst Phys Complex Syst, D-01187 Dresden, Germany
[4] Univ Rome La Sapienza, INFM, Unita Roma 1, I-00185 Rome, Italy
[5] Univ Roma Tor Vergata, Dipartimento Fis, I-00133 Rome, Italy
来源
PHYSICAL REVIEW E | 1998年 / 57卷 / 04期
关键词
D O I
10.1103/PhysRevE.57.3878
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We introduce a model for fractures in quenched disordered media. This model has a deterministic extremal dynamics, driven by the energy function of a network of springs (Born Hamiltonian). The breakdown is the result of the cooperation between the external field and the quenched disorder. This model can be considered as describing the low-temperature Limit for crack propagation in solids. To describe the memory effects in this dynamics and then to study the resistance properties of the system we realized some numerical simulations of the model. The model exhibits interesting geometric and dynamical properties, with a strong reduction of the fractal dimension of the clusters and of their backbone, with respect to the case in which thermal fluctuations dominate. This result can be explained by a recently introduced theoretical tool as a screening enhancement due to memory effects induced by the quenched disorder.
引用
收藏
页码:3878 / 3885
页数:8
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