Dynamic model of fiber bundles

TL;DR

This paper introduces a continuous-time dynamic model for fiber bundles, analyzing their behavior under stress and noise, revealing how they resist stress before sudden failure, and identifying the critical stress threshold for rupture.

Contribution

It presents a novel dynamic model for fiber bundles that captures time evolution and rupture behavior under stochastic conditions, bridging deterministic and noisy regimes.

Findings

System resists stress for extended periods before rupture

Complete rupture occurs beyond a critical stress threshold

Model reproduces known stationary-state results

Abstract

A realistic continuous-time dynamics for fiber bundles is introduced and studied both analytically and numerically. The equation of motion reproduces known stationary-state results in the deterministic limit while the system under non-vanishing stress always breaks down in the presence of noise. Revealed in particular is the characteristic time evolution that the system tends to resist the stress for considerable time, followed by sudden complete rupture. The critical stress beyond which the complete rupture emerges is also obtained.