Filament protrusions can initiate at perturbations of the interface or microstructural heterogeneities and subsequently grow through the SSE, causing the battery to short-circuit. It is critical to understand from both an experimental and modeling perspective the interplay of various mechanisms including morphology of the SSE microstructure, elastic-viscoplastic behavior of Li-metal, critical current density and stack pressure on the morphology of filamentary protrusions across the SSE. While much has been done to understand the interplay of aforementioned mechanisms from an experimental standpoint [5,6], theoretical frameworks on modeling of filaments growth in SSBs are still at their infancy and typically simplify dendrites as pressurized cracks under a linear-elastic fracture mechanics (LEFM) approach [7-8].
In this work, we propose a thermodynamically consistent phase-field reaction-diffusion-damage theory to investigate the morphology of filament growth across the SSE under varying chemo-mechanical operational conditions. The theory is fully coupled with electrodeposition at the Li metal-SSE interface impacting mechanical deformation, stress generation and subsequent fracture of the SSE. Conversely, electrodeposition kinetics are affected by mechanical stresses through a thermodynamically consistent, physically motivated driving force that distinguishes the role of various chemical, electrical and mechanical contributions. Concurrently, the theory captures the interplay between crack propagation and electrodeposition phenomena by tracking the damage and reaction field using separate phase-field variables such that metal growth is preceded by and confined to damaged regions within the SSE accessible by Li-metal. This is a critical feature of the theory and confirms experimental observations that the crack front propagates ahead of Li. We specialize the theory and study the role of variations of chemo-mechanical properties (i.e. applied electric potential, SSE fracture energy) on the morphology of metal filament growth and map operational conditions to distinguish between domains of i) stable vs. unstable growth ii) intergranular vs. transgranular growth mode. In doing so, the proposed framework provides a quantitative understanding on mechanisms dictating metal filament growth in SSEs and identifies mitigation strategies to employ in future SSB designs for successful operation.
References:
[1] Zhang, Fangzhou, et al. "A review of mechanics-related material damages in all-solid-state batteries: Mechanisms, performance impacts and mitigation strategies." Nano Energy 70 (2020): 104545.
[2] Bistri, Donald, Arman Afshar, and Claudio V. Di Leo. "Modeling the chemo-mechanical behavior of all-solid-state batteries: a review." Meccanica 56.6 (2021): 1523-1554.
[3] Wang, Peng, et al. "Electro–chemo–mechanical issues at the interfaces in solid‐state lithium metal batteries." Advanced Functional Materials 29.27 (2019): 1900950
[4] Bistri, Donald, and Claudio V. Di Leo. "Modeling of Chemo-Mechanical Multi-Particle Interactions in Composite Electrodes for Liquid and Solid-State Li-Ion Batteries." Journal of The Electrochemical Society 168.3 (2021): 030515.
[5] Ren, Yaoyu, et al. "Direct observation of lithium dendrites inside garnet-type lithium-ion solid electrolyte." Electrochemistry Communications 57 (2015): 27-30.
[6] Cheng, Eric Jianfeng, Asma Sharafi, and Jeff Sakamoto. "Intergranular Li metal propagation through polycrystalline Li6. 25Al0. 25La3Zr2O12 ceramic electrolyte." Electrochimica Acta 223 (2017): 85-91.
[7] Klinsmann, Markus, et al. "Dendritic cracking in solid electrolytes driven by lithium insertion." Journal of Power Sources 442 (2019): 227226.
[8] Bucci, Giovanna, and Jake Christensen. "Modeling of lithium electrodeposition at the lithium/ceramic electrolyte interface: the role of interfacial resistance and surface defects." Journal of Power Sources 441 (2019): 227186.