{
  "abstract": "Resolving steep damage gradients across diffuse cracks in the phase-field modeling of fracture favors the use of high-order finite elements, for which matrix-free methods can provide superior performance and scalability. Here, we implement the Peric & Dettmer constitutive framework for visco-elastoplastic materials in an open source solid mechanics library supporting matrix-free operators for high-order finite elements with p-multigrid preconditioning on GPUs. We introduce a rheological fracture element assembled in series with the Peric & Dettmer block, keeping fracture and inelastic material properties mutually independent. We conduct numerical simulations of tensile and compressive quasistatic tests on synthetic particle-matrix microstructures using an El Capitan high-performance computing prototype. The results reproduce representative inelastic responses and fracture patterns, including X-shaped cracking observed in polymer-bonded explosives and cup-and-cone fracture in ductile metals.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2607.21150",
  "author_total": 7,
  "authors": [
    {
      "name": "Fabio Di Gioacchino"
    },
    {
      "name": "Rezgar Shakeri"
    },
    {
      "name": "Zachary Atkins"
    },
    {
      "name": "Karen Stengel"
    },
    {
      "name": "Layla Ghaffari"
    },
    {
      "name": "Jeremy Thompson"
    },
    {
      "name": "Jed Brown"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/evj7p38zxy69j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2607.21150",
  "fulltext_url": null,
  "id": "evj7p38zxy69j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2607.21150",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.mtrl-sci"
    ],
    [
      "arxiv",
      "physics.app-ph"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "2211|Numerical methods in engineering"
    ]
  ],
  "openalex": "W7170418940",
  "pdf_url": "https://arxiv.org/pdf/2607.21150",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/evj7p38zxy69j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:18Z",
      "native_id": "2607.21150",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2607.21150"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.app-ph",
      "subfield": "applied-instrumentation"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Matrix-free phase-field modeling of fracture in micromechanical testing simulations of inelastic materials",
  "title_text": "Matrix-free phase-field modeling of fracture in micromechanical testing simulations of inelastic materials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:18Z",
  "url": "https://research.draconitic.com/paper/evj7p38zxy69j",
  "venue": "arXiv",
  "versions": []
}