An electro-chemomechanical phase-field model is developed to capture the metal-insulator phase transformation along with the structural and chemical changes that occur in Li x CoO 2 in the regular operating range of 0.5 < x < 1. Under equilibrium, in the regime of phase coexistence, it is found that transport limitations lead to kinetically arrested states that are not determined by strain-energy minimization. Further, lithiation profiles are obtained for different discharging rates and the experimentally observed voltage plateau is observed. Finally, a simple model is developed to account for the conductivity changes for a polycrystalline Li x CoO 2 thin film as it transforms from the metallic phase to the insulating phase and a strategy is outlined for memristor design. The theory can therefore be used for modeling Li x CoO 2 -electrode batteries as well as low voltage nonvolatile redox transistors for neuromorphic computing architectures.The ORCID identification number(s) for the author(s) of this article can be found under https://doi.org/10.1002/adfm.201902821. the lithiation process, the crystal structure of LCO remains unchanged with the host lattice contracting along the c-axis. [8,12,13] Another important characteristic of LCO is the metal-insulator transition, in which the material transitions from a good (x < 0.75) to a poor (x > 0.94) electron conductor. [8,21,25] The metal-insulator phase coexistence, during the transition, is observed macroscopically through a voltage plateau in the voltage versus state of charge diagram, occurring over the entire range of 0.75 < x < 0.94. [13,21,25] The layered structure of LCO allows for Li to diffuse only in the plane perpendicular to the [0001] direction, leading to effectively 2D transport in the crystal. [11,26] LCO is therefore a widely studied material and has been in commercial use in battery technology for over three decades. [1,2] Thus, developing a predictive mesoscopic model is paramount in studying the nonequilibrium charging/discharging as well as phase-separating behavior for this material.Recently, there has been renewed interest in LCO because of its metal-insulator transition behavior for the development of nonvolatile redox memristors to be used in neuromorphic computing technology. [27] In order to mimic the efficiency of the human brain, neuromorphic computing architecture is becoming an exciting avenue toward development of hardware specialized for machine learning and pattern recognition algorithms. [28][29][30] Current CMOS technologies consume high energy due to the movement of data between the processor, and static and dynamic random access memory. [27,31] In contrast, resistive memory crossbars, in which processing and memory storage occurs simultaneously, have been predicted to lower this energy requirement by six orders of magnitude. [32,33] The memristor, first proposed by Leon Chua, is the unit circuit element that forms the basis of this architecture. [34] The current state-of-the-art memristors, e.g., phase-change memories (PCM) [35...