{
  "abstract": "We present a numerical formulation for the resolution of finite systems of interacting edge dislocations and wedge disclinations. The approach is based on a finite element discretization of a fourth-order elliptic boundary value problem arising from the mechanical equilibrium equations of plane-strain linear elasticity in the presence of kinematic incompatibilities. The numerical implementation follows a continuous interior penalty discontinuous Galerkin framework and relies on the solution of a finite set of local cell problems. Our method is validated against analytical benchmarks and used to explore several non-trivial dislocation-disclination configurations, illustrating how translational and rotational incompatibilities shape the stress state of the body.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.29614",
  "author_total": 4,
  "authors": [
    {
      "name": "Pierluigi Cesana"
    },
    {
      "name": "Edoardo Fabbrini"
    },
    {
      "name": "Andrés A. León Baldelli"
    },
    {
      "name": "Marco Morandotti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7qy0mhc21wx82.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.29614",
  "fulltext_url": null,
  "id": "7qy0mhc21wx82",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.29614",
  "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",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
    ]
  ],
  "openalex": "W7214340834",
  "pdf_url": "https://arxiv.org/pdf/2609.29614",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7qy0mhc21wx82.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:11Z",
      "native_id": "2609.29614",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.29614"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation",
  "title_text": "Semidiscrete Modeling of Dislocation-Disclination Systems: Finite Element Formulation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/7qy0mhc21wx82",
  "venue": "arXiv",
  "versions": []
}