SOLVABLE FRACTURE MODEL WITH LOCAL LOAD-TRANSFER

被引：31
作者：
GOMEZ, JB
INIGUEZ, D
PACHECO, AF
机构：
[1] UNIV ZARAGOZA, DEPT FIS TEOR, E-50009 ZARAGOZA, SPAIN
[2] UNIV ZARAGOZA, FAC CIENCIAS, CSIC, INST CIENCIA MAT ARAYON, E-50009 ZARAGOZA, SPAIN
来源：
PHYSICAL REVIEW LETTERS | 1993年 / 71卷 / 03期
关键词：
D O I：
10.1103/PhysRevLett.71.380
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A stochastic fracture model of N ordered elements with one-sided local transfer of load is proposed and solved. The probability of total collapse is calculated as a function of the applied load and we find that, assuming Weibull-type distributions to describe the elemental strengths, in the limit of large N, the global strength of the set is proportional to (logN)-1. To solve the model, use is made of the fact that when the length of a crack surpasses a critical value, the associated avalanche necessarily destroys the whole set. The antecedents of this model in materials science and seismology are indicated.
引用
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页码：380 / 383
页数：4
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