Steady shear rheology of a granular crystal containing a single dislocation

[2608.27930] Steady shear rheology of a granular crystal containing a single dislocation Skip to main content Search Submit Donate Log in Condensed Matter > Soft Condensed Matter arXiv:2608.27930 (cond-mat) [Submitted on 28 Aug 2026] Title: Steady shear rheology of a granular crystal containing a single dislocation Authors: Fumiaki Nakai (The University of Osaka) View PDF HTML (experimental) Abstract: Monodisperse granular particles can form crystals whose yielding behavior is strongly affected by dislocations and differs markedly from that of conventional amorphous granular materials. Yet the rate dependence of their post-yield steady rheology remains unclear. We use the discrete element method to study steady shear in a granular crystal containing a single dislocation. We find that the steady shear-to-normal stress ratio $\mu_b$ is organized by the scaled dislocation velocity $v_d/v_s$, rather than by the conventional inertial number $I$. Here, $v_d$ is related to the imposed shear rate through Orowan kinematics, and $v_s$ is a characteristic Hertzian elastic-wave speed. At low $v_d/v_s$, the stress ratio approaches a small plateau associated with the elastic lattice barrier and interparticle friction. At intermediate values of $v_d/v_s$, contact damping strongly affects the approximately linear increase of the stress ratio above the plateau. As $v_d/v_s$ approaches unity, the stress develops a stronger nonlinear velocity dependence. At still higher velocities, the coordination deficit rises sharply, marking the breakdown of crystalline order and the end of the single-dislocation description. These results identify the scaled dislocation velocity as the relevant rate variable for the steady rheology of dislocation-mediated granular flow and clarify the distinct roles of interparticle friction and contact damping in the low- and intermediate-velocity regimes, respectively. Comments: 10 pages, 7 figures. Data and code: this https URL Subjects: Soft Condensed Matter (cond-mat.soft) ; Materials Science (cond-mat.mtrl-sci) Cite as: arXiv:2608.27930 [cond-mat.soft] (or arXiv:2608.27930v1 [cond-mat.soft] for this version) https://doi.org/10.48550/arXiv.2608.27930 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Fumiaki Nakai Ph.D. [ view email ] [v1] Fri, 28 Aug 2026 05:13:21 UTC (1,567 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.soft < prev | next > new | recent | 2026-08 Change to browse by: cond-mat cond-mat.mtrl-sci References & Citations SciX 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)

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