Damage in Fiber Bundle Models

TL;DR

This paper introduces a continuous damage fiber bundle model that captures macroscopic plasticity, compares different load transfer mechanisms, and explores damage evolution and phase transition analogies.

Contribution

It presents a novel continuous damage fiber bundle model and analyzes its behavior under various conditions, including load transfer modes and disorder distributions.

Findings

Model exhibits diverse constitutive behaviors depending on damage parameter

Global and local load transfer models show distinct damage evolution patterns

Analogies with spinodal nucleation in phase transitions are identified

Abstract

We introduce a continuous damage fiber bundle model that gives rise to macroscopic plasticity and compare its behavior with that of dry fiber bundles. Several interesting constitutive behaviors are found in this model depending on the value of the damage parameter and on the form of the disorder distribution. In addition, we compare the behavior of global load transfer models with local load transfer models and study in detail the damage evolution before failure. We emphasize the analogies between our results and spinodal nucleation in first-order phase transitions.