{
  "abstract": "In artificial (micro)capsules or cells such as red blood cells for example, the two-dimensional (2D) rheology of the membrane (or the shell) is viscoelastic and not only elastic. The deformation and inclination of such a capsule are theoretically studied under shear and extensional flows. The membrane mechanics is described by the Kelvin-Voigt model: the 2D dissipation with the Boussinesq-Scriven law associated to specific dilational and shear Boussinesq numbers $Bq_d$ and $Bq_d$ respectively while the elastic constitutive law is either Hookean, strain-softening (neoHookean) or strain-hardening (Skalak). The dynamics depends on the elastic capillary number $Ca$, the Poisson ratio (or $C$ in Skalak law), the viscosity ratio $λ$, the nonlinearities included in the constitutive law and both boussinesq numbers. Three dynamics are identified in the limit of weak deformations: a tank-treading motion in the limit of small elastic capillary number with a characteristic time depending on $λ$, $Bq_s$ and $Bq_d$, an oscillation without any elasticity and a damped oscillation leading to a tank-treading motion in the limit of large Boussinesq numbers. In all cases, both shear and dilational 2D dissipations contribute differently leading to non-trivial results. In the case of a Skalak law with $C=1$, $Bq=Bq_s=Bq_d$ and $Bq>>λ$, the deformations in the limits $Ca<<1$, $Bq=O(1)$ and $Ca=O(1)$, $Bq>>1$ determined in the seminal work of \\cite{barthes1985role} are recovered.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16739",
  "author_total": 2,
  "authors": [
    {
      "name": "Paul Regazzi"
    },
    {
      "name": "Marc Leonetti"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b6c70b1651xbh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16739",
  "fulltext_url": null,
  "id": "b6c70b1651xbh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16739",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.soft"
    ],
    [
      "openalex",
      "1507|Rheology and Fluid Dynamics Studies"
    ]
  ],
  "openalex": "W7221801470",
  "pdf_url": "https://arxiv.org/pdf/2610.16739",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b6c70b1651xbh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:06Z",
      "native_id": "2610.16739",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16739"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.soft",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Impact of shear and dilational membrane viscosities on capsule shape and dynamics under shear flow: a theoretical study",
  "title_text": "Impact of shear and dilational membrane viscosities on capsule shape and dynamics under shear flow: a theoretical study",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:06Z",
  "url": "https://research.draconitic.com/paper/b6c70b1651xbh",
  "venue": "arXiv",
  "versions": []
}