Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis
Mathematical Physics
2013-09-13 v1 Materials Science
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1309.3227,
title = {Thermomechanics of hydrogen storage in metallic hydrides: modeling and analysis},
author = {Tomas Roubicek and Giuseppe Tomassetti},
journal= {arXiv preprint arXiv:1309.3227},
year = {2013}
}