Crack avalanches in the three dimensional random fuse model

TL;DR

This paper investigates the scaling behavior of crack avalanches in a 3D random fuse model through simulations, revealing that their size distributions align with mean-field predictions from the fiber bundle model.

Contribution

It demonstrates that avalanche size distributions in the 3D random fuse model match those of the mean-field fiber bundle model, providing insight into fracture processes.

Findings

Avalanche size distributions agree with the fiber bundle model.

Both integrated and non-integrated distributions follow similar scaling.

Results support mean-field behavior in 3D fracture models.

Abstract

We analyze the scaling of avalanche precursors in the three dimensional random fuse model by numerical simulations. We find that both the integrated and non-integrated avalanche size distributions are in good agreement with the results of the global load sharing fiber bundle model, which represents the mean-field limit of the model.