Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis

Tomáš Roubíček; Giuseppe Tomassetti

doi:10.3934/dcdsb.2014.19.2313

Article Contents

2014, Volume 19, Issue 7: 2313-2333. Doi: 10.3934/dcdsb.2014.19.2313

This issue Previous Article q-Gaussian integrable Hamiltonian reductions in anisentropic gasdynamics Next Article On the theory of viscoelasticity for materials with double porosity

Thermomechanics of hydrogen storage in metallic hydrides: Modeling and analysis

Tomáš Roubíček^1, and
Giuseppe Tomassetti^2,

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

Received: February 28, 2013

Revised: April 30, 2013

Published: August 2014

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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.

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Mathematics Subject Classification: Primary: 35K55, 35Q74; Secondary: 74F10, 80A20.

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