Fiber bundle model with stick-slip dynamics

TL;DR

This paper introduces a fiber bundle model with stick-slip dynamics to describe the mechanical response and failure of systems undergoing repeated slip events, revealing plastic behavior and permanent deformation.

Contribution

It presents a novel fiber bundle model incorporating stick-slip mechanisms to analyze complex failure behaviors in materials.

Findings

Emergence of plastic response and hardening/softening regimes

Irreversible permanent deformation depends on slip event properties

Similar qualitative behavior for quenched and annealed disorder, with more pronounced plasticity in annealed case

Abstract

We propose a generic model to describe the mechanical response and failure of systems which undergo a series of stick-slip events when subjected to an external load. We model the system as a bundle of fibers, where single fibers can gradually increase their relaxed length with a stick-slip mechanism activated by the increasing load. We determine the constitutive equation of the system and show by analytical calculations that on the macro-scale a plastic response emerges followed by a hardening or softening regime. Releasing the load, an irreversible permanent deformation occurs which depends on the properties of sliding events. For quenched and annealed disorder of the failure thresholds the same qualitative behavior is found, however, in the annealed case the plastic regime is more pronounced.