Sub-critical model of damage evolution as a phase transition

TL;DR

This paper develops a statistical mechanics model of damage evolution as a phase transition, incorporating interactions at crack tips and boundary constraints to better understand damage phenomena.

Contribution

It introduces a sub-critical damage model with spin interactions at crack tips and analyzes effects of boundary conditions, advancing the statistical mechanics approach to damage.

Findings

Damage evolution modeled as a phase transition.

Interactions at crack tips influence damage progression.

Boundary constraints affect damage behavior.

Abstract

Many studies investigated the application of statistical mechanics to damage phenomena. However, so far the association of damage with statistical mechanics is far from completely developed. One of the most successful approaches maps the strength elements onto the spins of a lattice. This allows applying the formalism extensively developed for spin systems to damage phenomena. To improve the model the interactions of spins at the crack tips are introduced. Further, statistical mechanics of the model is developed for different external boundary constraints.