Time evolution of damage under variable ranges of load transfer

TL;DR

This study investigates how damage evolves over time in a fiber bundle model with adjustable load transfer range, revealing a crossover from mean field to short range behavior influenced by disorder, with distinct crack growth dynamics.

Contribution

It introduces a fiber bundle model with variable load transfer range and analyzes the crossover in damage evolution and failure dynamics.

Findings

Lifetime exhibits a crossover from mean field to short range behavior.

Transition point depends on system disorder.

Growth dynamics of the largest crack differ significantly between regimes.

Abstract

We study the time evolution of damage in a fiber bundle model in which the range of interaction of fibers varies through an adjustable stress transfer function recently introduced. We find that the lifetime of the material exhibits a crossover from mean field to short range behavior as in the static case. Numerical calculations showed that the value at which the transition takes place depends on the system's disorder. Finally, we have performed a microscopic analysis of the failure process. Our results confirm that the growth dynamics of the largest crack is radically different in the two limiting regimes of load transfer during the first stages of breaking.