Stress effects on the kinetics of adsorption in a spherical particle: an analytical model

TL;DR

This paper presents an analytical model to understand how stress influences the rate of phase transformation in spherical particles, accounting for misfit strain effects and hysteresis behavior.

Contribution

It introduces a simple analytical approach to quantify stress effects on phase transformation kinetics and hysteresis in elastic solids.

Findings

Misfit strain significantly affects transformation kinetics.

The model accurately predicts hysteresis amplitude.

Stress alters the rate of phase transformation.

Abstract

We consider a two-phase elastic solid subject to diffusion-induced phase transformation by an interstitial species provided by a reservoir. We derive a simple analytical model to quantify the effect of misfit strain on the kinetic of phase transformation and to calculate the amplitude of the well-know hysteresis cycle observed when a sequence of forward and reverse phase transformations takes place.