Failure time in the fiber-bundle model with thermal noise and disorder

TL;DR

This paper investigates the failure time of fiber-bundle models with disorder and thermal noise, deriving an exact expression at low temperatures and confirming it through simulations, highlighting how disorder reduces the energy barrier.

Contribution

It provides an analytical expression for failure time in fiber-bundle models with disorder and thermal noise, validated by simulations, advancing understanding of fracture dynamics.

Findings

Exact failure time expression at low temperature

Disorder lowers the energy barrier for failure

Analytical results confirmed by numerical simulations

Abstract

The average time for the onset of macroscopic fractures is analytically and numerically investigated in the fiber-bundle model with quenched disorder and thermal noise under a constant load. We find an implicit exact expression for the failure time in the low-temperature limit that is accurately confirmed by direct simulations. The effect of the disorder is to lower the energy barrier.