Modeling the effects of particle size and intercalation-deintercalation rate of LiMn$_2$O$_4$ cathode material on the level of mechanical stresses in lithium-ion batteries
Abstract:
A mathematical model of the appearance and development of intercalation-deintercalation (ID) mechanical stresses in particles of an electrode material is presented. Results of simulations of the effects of particle size (including submicron level) and ID rate on the magnitude of mechanical stresses are presented. Analytical expressions are obtained that describe the distribution of mechanical stresses in a submicron particle, depending on the dimensionless ion current density. Results are illustrated by examples for LiMn$_2$O$_4$ cathode material.
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