# Percolation Modeling of Conductance of Self-Healing Composites

**Authors:** Alexander Dementsov, Vladimir Privman

arXiv: 0704.0935 · 2010-10-12

## TL;DR

This paper models how conductance measurements can serve as indicators of damage and self-healing in composite materials, combining theoretical and simulation approaches to understand the early fatigue regime.

## Contribution

It introduces a combined continuum and lattice modeling approach to analyze conductance as a measure of self-healing in composites, highlighting the delay of fatigue onset.

## Key findings

- Conductance shows a plateau during initial fatigue, indicating self-healing effects.
- Material quality degradation can be monitored via transport properties.
- Self-healing extends the fatigue onset time.

## Abstract

We explore the conductance of self-healing materials as a measure of the material integrity in the regime of the onset of the initial fatigue. Continuum effective-field modeling and lattice numerical simulations are reported. Our results illustrate the general features of the self-healing process: The onset of the material fatigue is delayed, by developing a plateau-like time-dependence of the material quality. We demonstrate that in this low-damage regime, the changes in the conductance and similar transport/response properties of the material can be used as measures of the material quality degradation.

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Source: https://tomesphere.com/paper/0704.0935