Random sequential adsorption model of damage and crack accumulation: Exact one-dimensional results

TL;DR

This paper introduces an exact solution for a modified one-dimensional RSA model that simulates damage and crack accumulation by focusing on initial defect points rather than entire objects, providing new insights into fracture processes.

Contribution

It presents an exact analytical solution for a novel one-dimensional RSA model tailored to damage and crack formation, differing from traditional RSA by considering only initial defect points for object deposition.

Findings

Exact solution for the one-dimensional damage RSA model

Insights into crack initiation and growth mechanisms

Potential applications in material failure analysis

Abstract

The random sequential adsorption (RSA) model is modified to describe damage and crack accumulation. The exclusion for object deposition (for damaged region formation) is not for the whole object, as in the standard RSA, but only for the initial point (or higher-dimensional defect) from which the damaged region or crack initiates. The one-dimensional variant of the model is solved exactly.