Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks

The growth of Li dendrites in a solid electrolyte is commonly idealized by a pressure‐filled crack. Recent observations in both garnet and sulfide electrolytes show that sparsely filled cracks exist prior to shorting of the cell, thereby invalidating this assumption. Herein, a variational principle...

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Main Authors: Dipayan Mukherjee, Shuai Hao, Paul R. Shearing, Robert M. McMeeking, Norman A. Fleck, Vikram S. Deshpande
Format: Article
Language:English
Published: Wiley-VCH 2023-09-01
Series:Small Structures
Subjects:
Online Access:https://doi.org/10.1002/sstr.202300022
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author Dipayan Mukherjee
Shuai Hao
Paul R. Shearing
Robert M. McMeeking
Norman A. Fleck
Vikram S. Deshpande
author_facet Dipayan Mukherjee
Shuai Hao
Paul R. Shearing
Robert M. McMeeking
Norman A. Fleck
Vikram S. Deshpande
author_sort Dipayan Mukherjee
collection DOAJ
description The growth of Li dendrites in a solid electrolyte is commonly idealized by a pressure‐filled crack. Recent observations in both garnet and sulfide electrolytes show that sparsely filled cracks exist prior to shorting of the cell, thereby invalidating this assumption. Herein, a variational principle that uses the Onsager formalism to couple Li deposition into the crack, elastic deformation of the electrolyte, and cracking of the electrolyte with the electrochemical driving forces and dissipation within the electrolyte and interfaces is developed. Consistent with observations, it is shown that Li ingress and cracking occur together for garnet electrolytes, but the cracks are sparsely filled. This sparse filling is a direct consequence of the mismatch between the elastic opening of the cracks and the deposition of Li into the cracks across the crack flanks. An increase in the resistance of Li ingress into the tips of Li filaments results in crack propagating ahead of the Li filaments, as observed for sulfide electrolytes. In such cases, the cracks are largely dry. The results provide a framework to model Li ingress into solid electrolytes and explain why the observations are qualitatively so different from dendrites in liquid electrolytes.
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spelling doaj.art-ba66df1af3e344aaa3edbfc12ba9b8872023-09-15T09:17:18ZengWiley-VCHSmall Structures2688-40622023-09-0149n/an/a10.1002/sstr.202300022Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled CracksDipayan Mukherjee0Shuai Hao1Paul R. Shearing2Robert M. McMeeking3Norman A. Fleck4Vikram S. Deshpande5Department of Engineering University of Cambridge Cambridge CB2 1PZ UKElectrochemical Innovation Lab Department of Chemical Engineering University College London London WC1E 7JE UKElectrochemical Innovation Lab Department of Chemical Engineering University College London London WC1E 7JE UKDepartment of Mechanical Engineering & Materials Department University of California Santa Barbara CA 93106 USADepartment of Engineering University of Cambridge Cambridge CB2 1PZ UKDepartment of Engineering University of Cambridge Cambridge CB2 1PZ UKThe growth of Li dendrites in a solid electrolyte is commonly idealized by a pressure‐filled crack. Recent observations in both garnet and sulfide electrolytes show that sparsely filled cracks exist prior to shorting of the cell, thereby invalidating this assumption. Herein, a variational principle that uses the Onsager formalism to couple Li deposition into the crack, elastic deformation of the electrolyte, and cracking of the electrolyte with the electrochemical driving forces and dissipation within the electrolyte and interfaces is developed. Consistent with observations, it is shown that Li ingress and cracking occur together for garnet electrolytes, but the cracks are sparsely filled. This sparse filling is a direct consequence of the mismatch between the elastic opening of the cracks and the deposition of Li into the cracks across the crack flanks. An increase in the resistance of Li ingress into the tips of Li filaments results in crack propagating ahead of the Li filaments, as observed for sulfide electrolytes. In such cases, the cracks are largely dry. The results provide a framework to model Li ingress into solid electrolytes and explain why the observations are qualitatively so different from dendrites in liquid electrolytes.https://doi.org/10.1002/sstr.202300022ceramic separatorslithium dendritessolid-state batteriesvariational principles
spellingShingle Dipayan Mukherjee
Shuai Hao
Paul R. Shearing
Robert M. McMeeking
Norman A. Fleck
Vikram S. Deshpande
Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks
Small Structures
ceramic separators
lithium dendrites
solid-state batteries
variational principles
title Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks
title_full Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks
title_fullStr Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks
title_full_unstemmed Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks
title_short Ingress of Li into Solid Electrolytes: Cracking and Sparsely Filled Cracks
title_sort ingress of li into solid electrolytes cracking and sparsely filled cracks
topic ceramic separators
lithium dendrites
solid-state batteries
variational principles
url https://doi.org/10.1002/sstr.202300022
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