{
  "abstract": "We develop a theory for the plastic shear rate $\\dotγ_i$ on each slip system $i$ of face-centered cubic (FCC) single crystals, by integrating the shear rate contributions $\\dotγ_i(l)$ from dislocation links of length $l$. A generalized Orowan equation expresses $\\dotγ_i(l)$ in terms of the link density $n_i(l)$ and the average link velocity $v_i(l)$. This model accurately reproduces the discrete dislocation dynamics (DDD) shear-rate data for all 12 slip systems across 99 loading orientations. In particular, it explains why the plastic shear rate depends exponentially on the resolved shear stress $τ_i$, as reported previously, in the absence of any thermally activated mechanism. This dependence arises from the exponential tail of $n_i(l)$ filtered through the threshold-like velocity function $v_i(l)$. Furthermore, $v_i(l)$ is well approximated by a single two-dimensional function $v(τ_i,l)$ for all these slip systems. The link velocity is therefore governed mainly by $τ_i$ and $l$, with only a minor effect from the complex interactions between slip systems. These interactions instead manifest themselves mainly through $n_i(l)$. As a demonstration of the effect of the link-length distribution on the slip rate, we show that even when $τ_i$ is limited to a narrow window, the shear rates still span two orders of magnitude. The supply of long links is therefore the dominant factor controlling slip-system activity, outweighing the direct effect of $τ_i$ on the link velocity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23674",
  "author_total": 5,
  "authors": [
    {
      "name": "Hanfeng Zhai"
    },
    {
      "name": "Sh. Akhondzadeh"
    },
    {
      "name": "Ryan B. Sills"
    },
    {
      "name": "Nicolas Bertin"
    },
    {
      "name": "Wei Cai"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cp5301646q5ns.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23674",
  "fulltext_url": null,
  "id": "cp5301646q5ns",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23674",
  "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.soft"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "2505|Microstructure and mechanical properties"
    ]
  ],
  "openalex": "W7222925985",
  "pdf_url": "https://arxiv.org/pdf/2610.23674",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cp5301646q5ns.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:32Z",
      "native_id": "2610.23674",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23674"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Plastic Flow Rule Based on Dislocation Link Velocity",
  "title_text": "Plastic Flow Rule Based on Dislocation Link Velocity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/cp5301646q5ns",
  "venue": "arXiv",
  "versions": []
}