RANDOM-WALK THEORY OF CRACK-PROPAGATION

被引：10

作者：

KRAUSZ, AS

机构：

[1] University of Ottawa, Department of Mechanical Engineering, Ottawa

来源：

ENGINEERING FRACTURE MECHANICS | 1979年 / 12卷 / 04期

关键词：

D O I：

10.1016/0013-7944(79)90092-4

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Crack propagation is considered as a random walk process of consecutive atomic bond breaking and healing steps. The total number of steps is proportional to the propagation time, and the difference of the number of breaking and healing steps is proportional to the location of the crack tip at that time. The analysis of the probability and of the number of distinct sequences led to a rigorous expression of a crack size probability distribution function in terms of time, mechanical work, bond free energy or surface energy, and temperature. It is shown that the shape of the probability distribution function is proportional to the sum of the breaking and healing rate constants, and the average crack size is determined by the difference of these two rate constants and by the propagation time. © 1979.

引用

页码：499 / 504

页数：6

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