{
  "abstract": "We propose an incremental, variational model for elasto-plastic deformations in which a newly constructed incompatible strain tensor, linked to dislocation density through Kr¨oner’s relation, serves as the primary kinematical descriptor. The model also introduces a scalar internal variable, the compatibility modulus, governing both dissipation and the tangent elastic response, thereby providing a rate-independent framework capable of describing strain hardening. Numerical simulations exhibit localized deformation patterns and residual stresses consistent with dislocation-mediated plasticity. The higher-order structure arises intrinsically from strain incompatibility, providing a geometrically natural and unified framework for size-dependent effects.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "name": "Samuel Amstutz"
    },
    {
      "name": "Thien-Nga Le"
    },
    {
      "name": "Nicolas van Goethem"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2y6th1xcgdq1m.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "2y6th1xcgdq1m",
  "issns": [],
  "landing_url": "https://hal.science/hal-05361307v4",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "0.spi"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05361307/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2y6th1xcgdq1m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:39Z",
      "native_id": "hal-05361307",
      "source": "hal",
      "url": "https://hal.science/hal-05361307v4"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:0.math",
      "subfield": "general"
    }
  ],
  "title": "A VARIATIONAL FRAMEWORK FOR INCOMPATIBILITY-DRIVEN DEFORMATIONS",
  "title_text": "A VARIATIONAL FRAMEWORK FOR INCOMPATIBILITY-DRIVEN DEFORMATIONS",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:39Z",
  "url": "https://research.draconitic.com/paper/2y6th1xcgdq1m",
  "venue": "HAL",
  "versions": []
}