Janek, J. & Zeier, W. G. A solid future for battery development. Nat. Energy 1, 16141 (2016).
Janek, J. & Zeier, W. G. Challenges in speeding up solid-state battery development. Nat. Energy 8, 230–240 (2023).
Albertus, P., Babinec, S., Litzelman, S. & Newman, A. Status and challenges in enabling the lithium metal electrode for high-energy and low-cost rechargeable batteries. Nat. Energy 3, 16–21 (2018).
Cheng, E. J., Sharafi, A. & Sakamoto, J. Intergranular Li metal propagation through polycrystalline Li6.25Al0.25La3Zr2O12 ceramic electrolyte. Electrochim. Acta 223, 85–91 (2017).
Kazyak, E. et al. Li penetration in ceramic solid electrolytes: operando microscopy analysis of morphology, propagation, and reversibility. Matter 2, 1025–1048 (2020).
Han, F. et al. High electronic conductivity as the origin of lithium dendrite formation within solid electrolytes. Nat. Energy 4, 187–196 (2019).
Liu, H. et al. Dendrite formation in solid-state batteries arising from lithium plating and electrolyte reduction. Nat. Mater. 24, 581–588 (2025).
Tian, H.-K., Xu, B. & Qi, Y. Computational study of lithium nucleation tendency in Li7La3Zr2O12 (LLZO) and rational design of interlayer materials to prevent lithium dendrites. J. Power Sources 392, 79–86 (2018).
Tian, H.-K., Liu, Z., Ji, Y., Chen, L.-Q. & Qi, Y. Interfacial electronic properties dictate Li dendrite growth in solid electrolytes. Chem. Mater. 31, 7351–7359 (2019).
Porz, L. et al. Mechanism of lithium metal penetration through inorganic solid electrolytes. Adv. Energy Mater. 7, 1701003 (2017).
Gao, H. et al. Visualizing the failure of solid electrolyte under GPa-level interface stress induced by lithium eruption. Nat. Commun. 13, 5050 (2022).
Swamy, T. et al. Lithium Metal penetration induced by electrodeposition through solid electrolytes: example in single-crystal Li6La3ZrTaO12 garnet. J. Electrochem. Soc. 165, A3648–A3655 (2018).
McConohy, G. et al. Mechanical regulation of lithium intrusion probability in garnet solid electrolytes. Nat. Energy 8, 241–250 (2023).
Zhang, Y. et al. Mechanically driven Li dendrite penetration in garnet solid electrolyte. Nature 652, 912–918 (2026).
Athanasiou, C. E. et al. Operando measurements of dendrite-induced stresses in ceramic electrolytes using photoelasticity. Matter 7, 95–106 (2024).
Ning, Z. et al. Dendrite initiation and propagation in lithium metal solid-state batteries. Nature 618, 287–293 (2023).
Zhang, B. et al. Atomic mechanism of lithium dendrite penetration in solid electrolytes. Nat. Commun. 16, 1906 (2025).
Xue, D. et al. Dynamic interplay of dendrite growth and cracking in lithium metal solid-state batteries. J. Mech. Phys. Solids 202, 106197 (2025).
Kalnaus, S., Dudney, N. J., Westover, A. S., Herbert, E. & Hackney, S. Solid-state batteries: the critical role of mechanics. Science 381, eabg5998 (2023).
Sandoval, S. E. et al. Electro-chemo-mechanics of anode-free solid-state batteries. Nat. Mater. 24, 673–681 (2025).
Flatscher, F. et al. Deflecting dendrites by introducing compressive stress in Li7La3Zr2O12 using ion implantation. Small 20, 2307515 (2024).
Thomas, C. et al. Stress engineering for crack and dendrite prevention in solid electrolytes via ion implantation. Cell Rep. Phys. Sci. 6, 102544 (2025).
Xu, X. et al. Heterogeneous doping via nanoscale coating impacts the mechanics of Li intrusion in brittle solid electrolytes. Nat. Mater. 25, 627–634 (2026).
Yu, Z. et al. Dendrite suppression in garnet electrolytes via thermally induced compressive stress. Joule 10, 102232 (2026).
Liu, X. et al. Local electronic structure variation resulting in Li ‘filament’ formation within solid electrolytes. Nat. Mater. 20, 1485–1490 (2021).
Zhu, C. et al. Understanding the evolution of lithium dendrites at Li6.25Al0.25La3Zr2O12 grain boundaries via operando microscopy techniques. Nat. Commun. 14, 1300 (2023).
Fincher, C. D. et al. Controlling dendrite propagation in solid-state batteries with engineered stress. Joule 6, 2794–2809 (2022).
Anderson, T. L. Fracture Mechanics—Fundamentals and Applications (Taylor & Francis, 2017).
Cook, R. F. & DelRio, F. W. Determination of ceramic flaw populations from component strengths. J. Am. Ceram. Soc. 102, 4794–4808 (2019).
Yang, L., Gao, Y., Chen, Y. & Ding, B. Mechanisms of transverse bowl-shaped crack in all solid-state batteries. Eng. Fract. Mech. 321, 111117 (2025).
Siniscalchi, M. et al. Initiation of dendritic failure of LLZTO via sub-surface lithium deposition. Energy Environ. Sci. 17, 2431–2440 (2024).
Fuchs, T., Haslam, C. G., Richter, F. H., Sakamoto, J. & Janek, J. Evaluating the use of critical current density tests of symmetric lithium transference cells with solid electrolytes. Adv. Energy Mater. 13, 2302383 (2023).
Klimpel, M., Zhang, H., Kovalenko, M. V. & Kravchyk, K. V. Standardizing critical current density measurements in lithium garnets. Commun. Chem. 6, 192 (2023).
Famprikis, T., Canepa, P., Dawson, J. A., Islam, M. S. & Masquelier, C. Fundamentals of inorganic solid-state electrolytes for batteries. Nat. Mater. 18, 1278–1291 (2019).
Bardeen, J. Electrical conductivity of metals. J. Appl. Phys. 11, 88–111 (1940).
Counihan, M. J. et al. The phantom menace of dynamic soft-shorts in solid-state battery research. Joule 8, 64–90 (2023).
Wang, C. et al. Identifying soft breakdown in all-solid-state lithium battery. Joule 6, 1770–1781 (2022).
Guo, W. et al. In-situ optical observation of Li growth in garnet-type solid state electrolyte. Energy Storage Mater. 41, 791–797 (2021).
Yu, S. & Siegel, D. J. Grain boundary contributions to Li-ion transport in the solid electrolyte Li7La3Zr2O12 (LLZO). Chem. Mater. 29, 9639–9647 (2017).
Yu, S. & Siegel, D. J. Grain boundary softening: a potential mechanism for lithium metal penetration through stiff solid electrolytes. ACS Appl. Mater. Interfaces 10, 38151–38158 (2018).
Yildirim, C. et al. Understanding the origin of lithium dendrite branching in Li6.5La3Zr1.5Ta0.5O12 solid-state electrolyte via microscopy measurements. Nat. Commun. 15, 8207 (2024).
Xie, X. et al. Lithium expulsion from the solid-state electrolyte Li6.4La3Zr1.4Ta0.6O12 by controlled electron injection in a SEM. ACS Appl. Mater. Interfaces 10, 5978–5983 (2018).
Krauskopf, T. et al. Lithium-metal growth kinetics on LLZO garnet-type solid electrolytes. Joule 3, 2030–2049 (2019).
Wang, S. et al. Effect of H+ exchange and surface impurities on bulk and interfacial electrochemistry of garnet solid electrolytes. Chem. Mater. 36, 6849–6864 (2024).
Krauskopf, T., Richter, F. H., Zeier, W. G. & Janek, J. Physicochemical concepts of the lithium metal anode in solid-state batteries. Chem. Rev. 120, 7745–7794 (2020).
Wang, T. et al. Fatigue of Li metal anode in solid-state batteries. Science 388, 311–316 (2025).
Dixit, M. B. et al. Polymorphism of garnet solid electrolytes and its implications for grain-level chemo-mechanics. Nat. Mater. 21, 1298–1305 (2022).
Luo, Q. & Jones, A. H. High-precision determination of residual stress of polycrystalline coatings using optimised XRD-sin2ψ technique. Surf. Coat. Technol. 205, 1403–1408 (2010).
Yu, S. et al. Elastic properties of the solid electrolyte Li7La3Zr2O12 (LLZO). Chem. Mater. 28, 197–206 (2016).
Newville, M. et al. LMFIT: non-linear least-squares minimization and curve-fitting for Python. Zenodo https://doi.org/10.5281/zenodo.15014437 (2025).
Santhosha, A. L., Medenbach, L., Buchheim, J. R. & Adelhelm, P. The indium−lithium electrode in solid-state lithium-ion batteries: phase formation, redox potentials, and interface stability. Batter. Supercaps 2, 524–529 (2019).
Coelho, A. A. TOPAS and TOPAS-Academic: an optimization program integrating computer algebra and crystallographic objects written in C++. J. Appl. Crystallogr. 51, 210–218 (2018).
Kataoka, K. & Akimoto, J. Lithium-ion conductivity and crystal structure of garnet-type solid electrolyte Li7−xLa3Zr2−xTaxO12 using single-crystal. J. Ceram. Soc. Jpn 127, 521–526 (2019).
Fairley, N. et al. Systematic and collaborative approach to problem solving using X-ray photoelectron spectroscopy. Appl. Surf. Sci. Adv. 5, 100112 (2021).
Bunger, A. P. & Detournay, E. Asymptotic solution for a penny-shaped near-surface hydraulic fracture. Eng. Fract. Mech. 72, 2468–2486 (2005).
Zhang, X., Detournay, E. & Jeffrey, R. Propagation of a penny-shaped hydraulic fracture parallel to the free-surface of an elastic half-space. Int. J. Fract. 115, 125–158 (2002).
Cui, T., Lee, S. & Wang, S. Dendrite initiation and deflection in biaxially stressed solid electrolytes. Zenodo https://doi.org/10.5281/zenodo.20373114 (2026).