Analysis of weak solutions for the phase-field model for lithium-ion batteries

2020 ◽  
Vol 78 ◽  
pp. 185-199 ◽  
Author(s):  
Fang Cheng ◽  
Ye Hu ◽  
Lixian Zhao
Keyword(s):  
Lithium Ion Batteries ◽  
Phase Field ◽  
Weak Solutions ◽  
Field Model ◽  
Phase Field Model ◽  
Lithium Ion

A phase field model coupling lithium diffusion and stress evolution with crack propagation and application in lithium ion batteries

2015 ◽  
Vol 17 (1) ◽  
pp. 287-297 ◽  
Author(s):  
Peng Zuo ◽  
Ya-Pu Zhao
Keyword(s):  
Crack Propagation ◽  
Lithium Ion Batteries ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Lithium Ion ◽  
Model Coupling ◽  
Stress Evolution ◽  
Coupling Effects ◽  
Lithium Diffusion

Coupling effects among lithium diffusion, stress evolution and crack propagation have a significant effect on lithium diffusion and crack propagation.

A Phase Field Model of Solid Electrolyte Interface Formation in Lithium-ion Batteries

2012 ◽  
Vol 1440 ◽  
Author(s):  
Jie Deng ◽  
Gregory J. Wagner ◽  
Richard P. Muller
Keyword(s):  
Solid Electrolyte ◽  
Lithium Ion Batteries ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Lithium Ion ◽  
Interface Layer ◽  
Solid Electrolyte Interface ◽  
Anode Surface ◽  
Electrolyte Interface

ABSTRACTA phase field model is developed to investigate the formation of a solid electrolyte interface layer on the anode surface in lithium-ion batteries. Numerical results show that the growth of solid electrolyte interface exhibits power-law scaling with respect to time, and the growth rate depends on various factors such as temperature, diffusivity of electrons, and rates of electrochemical reactions.

scholarly journals Sharp-interface formation during lithium intercalation into silicon

2017 ◽  
Vol 29 (1) ◽  
pp. 118-145 ◽  
Author(s):  
E. MECA ◽  
A. MÜNCH ◽  
B. WAGNER
Keyword(s):  
Free Boundary ◽  
Phase Field ◽  
Field Model ◽  
Phase Field Model ◽  
Lithium Ion ◽  
Sharp Interface ◽  
Ion Concentration ◽  
Interface Model ◽  
Sharp Interface Model ◽  
Time Dynamics

In this study, we present a phase-field model that describes the process of intercalation of Li ions into a layer of an amorphous solid such as amorphous silicon (a-Si). The governing equations couple a viscous Cahn–Hilliard-Reaction model with elasticity in the framework of the Cahn–Larché system. We discuss the parameter settings and flux conditions at the free boundary that lead to the formation of phase boundaries having a sharp gradient in lithium ion concentration between the initial state of the solid layer and the intercalated region. We carry out a matched asymptotic analysis to derive the corresponding sharp-interface model that also takes into account the dynamics of triple points where the sharp interface intersects the free boundary of the Si layer. We numerically compare the interface motion predicted by the sharp-interface model with the long-time dynamics of the phase-field model.

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