Theory of Dendritic Crack Growth in Ceramic Solid-State Batteries

[2603.20113] Theory of Dendritic Crack Growth in Ceramic Solid-State Batteries Skip to main content Search Submit Donate Log in Condensed Matter > Materials Science arXiv:2603.20113 (cond-mat) [Submitted on 20 Mar 2026 ( v1 ), last revised 27 Aug 2026 (this version, v5)] Title: Theory of Dendritic Crack Growth in Ceramic Solid-State Batteries Authors: Ansgar Lowack View PDF HTML (experimental) Abstract: In solid-state batteries, ceramic solid electrolytes are penetrated by dendrites when plating above a critical current density $J_\mathrm{crit}$. A dendrite will propagate by metal deposition at a pre-existing dendrite tip if the mechanical energy required to crack the ceramic open is less than the electrical energy (Joule heating) wasted by forcing the current to detour around the dendrite to the flat electrode surface. Based on this principle of minimal power dissipation, a dependence of $J_\mathrm{crit}\propto c_\mathrm{max}^{3/2}$ is derived in an analytical fashion. $c_\mathrm{max}$ is the length of the longest pre-existing, sufficiently thin interfacial defect. Consequentially, scattering of dendrite growth between samples must follow a Weibull-distribution, similar to the tensile strength of ceramic components but at smaller Weibull-modulus. Comments: Uploaded for discussion Subjects: Materials Science (cond-mat.mtrl-sci) Cite as: arXiv:2603.20113 [cond-mat.mtrl-sci] (or arXiv:2603.20113v5 [cond-mat.mtrl-sci] for this version) https://doi.org/10.48550/arXiv.2603.20113 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Ansgar Lowack [ view email ] [v1] Fri, 20 Mar 2026 16:37:08 UTC (231 KB) [v2] Mon, 30 Mar 2026 14:05:31 UTC (232 KB) [v3] Wed, 22 Apr 2026 21:07:33 UTC (235 KB) [v4] Sun, 3 May 2026 18:39:24 UTC (260 KB) [v5] Thu, 27 Aug 2026 09:30:16 UTC (664 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mtrl-sci < prev | next > new | recent | 2026-03 Change to browse by: cond-mat References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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