Breaking rate minimum predicts the collapse point of over-loaded materials

TL;DR

This paper models composite materials as fiber bundles with random thresholds, revealing that the fiber breaking rate reaches a minimum halfway to collapse under constant overload, aiding in predicting failure points.

Contribution

It introduces a stochastic fiber bundle model to identify the collapse point by analyzing the evolution of the breaking rate under overload conditions.

Findings

Breaking rate reaches a minimum halfway to collapse.

The model predicts the collapse point based on breaking rate evolution.

Provides insights into failure prediction for composite materials.

Abstract

As a model of composite materials, we choose a bundle of fibers with stochastically distributed breaking thresholds for the individual fibers. the fibers are assumed to share the load equally and to obey Hookean elasticity right up to the breaking point. We study the evolution of the fiber breaking rate at a constant load in excess of the critical load. The analysis shows that the breaking rate reaches a minimum when the system is half-way from its complete collapse.