{
  "abstract": "Grain size is often used with the Hall-Petch relationship to justify differences in hardness in ceramic materials. Herein, hardness does not vary systematically with grain-size for fully dense, single-phase (Cr,Mo,Ta,V,W)C1-δ high entropy carbide ceramics for grain sizes that varied by a factor of three. Fully dense, single-phase ceramics with grain sizes from 9.3+/-0.3 to 28.8+/-0.7 microns exhibited a pronounced indentation size effect, with Vickers hardness decreasing from ~28-30 GPa at 0.49 N to ~20-21 GPa at 9.81 N, and Berkovich nanohardness ranging from 26 to 30 GPa at 10 mN. However, at a given load, hardness remained within a narrow range across the grain-size series, and no consistent Hall-Petch dependence was resolved. The lack of grain-size dependence likely indicates that the deformation volume sampled by the indenter was not controlled by grain-boundary interactions; instead, hardness was governed primarily by indentation load and local response of the rock salt carbide matrix.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.15717",
  "author_total": 8,
  "authors": [
    {
      "name": "Ali Sarikhani"
    },
    {
      "name": "Ana C. Feltrin"
    },
    {
      "name": "Gregory E. Hilmas"
    },
    {
      "name": "David W. Lipke"
    },
    {
      "name": "Douglas E. Wolfe"
    },
    {
      "name": "Stefano Curtarolo"
    },
    {
      "name": "Shen J. Dillon"
    },
    {
      "name": "William G. Fahrenholtz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/abz0yybe22s2r.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.15717",
  "fulltext_url": null,
  "id": "abz0yybe22s2r",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.15717",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.15717",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/abz0yybe22s2r.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.15717",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.15717"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "The Case Against Hall-Petch Hardening in High Entropy Carbide Ceramics",
  "title_text": "The Case Against Hall-Petch Hardening in High Entropy Carbide Ceramics",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:25Z",
  "url": "https://research.draconitic.com/paper/abz0yybe22s2r",
  "venue": "arXiv",
  "versions": []
}