Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis

TL;DR

This paper develops a comprehensive thermomechanical model for hydrogen storage in metallic hydrides, capturing diffusion, phase changes, hysteresis, and heat transfer, with mathematical proof of solution existence.

Contribution

It introduces a thermodynamically consistent mathematical framework for hydrogen adsorption in metal hydrides, including phase transformation and hysteresis, with proven solution existence.

Findings

Mathematically proven existence of solutions for the model

Inclusion of phase transformation and hysteresis effects

Outline of a multi-component ionized gas generalization

Abstract

A thermodynamically consistent mathematical model for hydrogen adsorption in metal hydrides is proposed. Beside hydrogen diffusion, the model accounts for phase transformation accompanied by hysteresis, swelling, temperature and heat transfer, strain, and stress. We prove existence of solutions of the ensuing system of partial differential equations by a carefully-designed, semi-implicit approximation scheme. A generalization for a drift-diffusion of multi-component ionized "gas" is outlined, too.