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A finite-strain logarithmic viscoelastic model for Antarctic ice shelves based on an additive split — arXiv:2609.08451

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.08451
License (as archived): CC0-1.0
Archived: 2026-10-16T16:01:18.159Z
SHA-256 of the archived text: 9078138e082ed2322a14f249e5676c56c792437be4b94f0c6a7a157f69ccfe0e
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How to cite

A finite-strain logarithmic viscoelastic model for Antarctic ice shelves based on an additive split — arXiv:2609.08451 — arXiv (en), https://arxiv.org/abs/2609.08451 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_faef246a76e5 (Metraipolis archive dc_faef246a76e5, sha256 9078138e082ed2322a14f249e5676c56c792437be4b94f0c6a7a157f69ccfe0e)

BibTeX

@misc{dcfaef246a76e5,
  title = {A finite-strain logarithmic viscoelastic model for Antarctic ice shelves based on an additive split — arXiv:2609.08451},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.08451},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_faef246a76e5; sha256 9078138e082ed2322a14f249e5676c56c792437be4b94f0c6a7a157f69ccfe0e},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.08451. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Ice shelves lose mass primarily by calving, a process controlled by the near-front stress field on timescales that span elastic flexure and viscous creep. We formulate a finite-strain Maxwell model for glacier ice in logarithmic strain space. The Hencky strain of a fixed reference configuration is split additively at the level of rates into elastic and viscous parts; the spring is isotropic Hencky elasticity and the dashpot is a Glen-type power law written on the logarithmic strain rate and its work-conjugate stress. At infinitesimal strain the dashpot coincides with Glen's flow law; the elastic strains in the ice-shelf configurations of this paper remain in that regime. The model is integrated with a midpoint evaluation and a backward-Euler correction of the trial dual, and implemented in a finite-element setting. After a viscoelastic column benchmark, the formulation is applied to an idealised ice tongue, including depth-dependent density and moduli, temperature-dependent fluidity, and cliff geometries with a frontal foot or basal undercutting. The resulting stress fields show how viscoelasticity and front morphology control tension near the terminus.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-09 in physics.comp-ph).
Categorie arXiv: Computational Physics (physics.comp-ph) ; Mathematical Physics (math-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.08451 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-16T15:44:54.323Z dalla pagina https://arxiv.org/catchup/physics.comp-ph/2026-09-09?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).