# American Institute of Mathematical Sciences

September  2014, 19(7): 2313-2333. doi: 10.3934/dcdsb.2014.19.2313

## Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis

 1 Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8 2 Università degli Studi di Roma "Tor Vergata", Dipartimento di Ingegneria Civile e Ingegneria Informatica, Via Politecnico 1, 00133 Roma, Italy

Received  March 2013 Revised  May 2013 Published  August 2014

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.
Citation: Tomáš Roubíček, Giuseppe Tomassetti. Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis. Discrete & Continuous Dynamical Systems - B, 2014, 19 (7) : 2313-2333. doi: 10.3934/dcdsb.2014.19.2313
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