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Surface growth viewed as a phase transformation in coupled systems
1 : Laboratoire de Mécanique des Solides
(LMS)
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Site web
* : Auteur correspondant
Ecole Polytechnique, Centre National de la Recherche Scientifique, Institut Polytechnique de Paris
Route de Saclay, 91128 Palaiseau Cedex -
France
We propose a 3D continuum framework for modeling surface growth in coupled systems, motivated by solid-state batteries. By distinguishing between the growing and conducting phases, we capture their distinct kinematics and derive jump conditions at the interface, which is material for the conducting phase but non-material for the accreting phase. We derive a thermodynamically consistent driving force conjugate to the growth velocity from the dissipation inequality. Analysis of a 1D model problem highlights the intrinsic coupling between accretion and the chemo-mechanical state of the system.
