Pith Number

pith:NRUJV34J

pith:2026:NRUJV34JLDRNUYFGFNOL6GTX7D

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A Solid-Based Approach for Modeling Simple Yield-Stress Fluids: Rheological Transitions, Overshoot and Relaxation

Jehyeok Choi, Ju Min Kim, Kwang Soo Cho

A viscoelastic solid model for yield-stress fluids predicts stress overshoot from normal stress differences enhancing the stress invariant.

arxiv:2604.03467 v2 · 2026-04-03 · physics.flu-dyn · cond-mat.soft

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Claims

C1strongest claim

the present viscoelastic solid-based constitutive equation is shown to accurately predict stress overshoot during start-up shear. Importantly, the overshoot is found to originate from a homogeneous mechanism in which normal stress difference enhances the stress invariant and thereby accelerates the plastic response, rather than from isotropic hardening or spatially heterogeneous microstructural evolution.

C2weakest assumption

The assumption that the specific combination of Zener-type viscoelastic solid, parallel dashpot, nonlinear viscosity model, flow rule, back stress evolution equation, and Kroner-Lee decomposition can comprehensively capture the rheological transitions, overshoot, and relaxation of simple yield-stress fluids without invoking thixotropy.

C3one line summary

A viscoelastic solid-based constitutive model for simple yield-stress fluids predicts stress overshoot during start-up shear through normal stress differences that enhance the stress invariant and accelerate plastic response.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T01:06:09.463771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c689aef8958e2da60a62b5cbf1a77f8ffe0ea4e17196cc4dd0393305a371bd5

Aliases

arxiv: 2604.03467 · arxiv_version: 2604.03467v2 · doi: 10.48550/arxiv.2604.03467 · pith_short_12: NRUJV34JLDRN · pith_short_16: NRUJV34JLDRNUYFG · pith_short_8: NRUJV34J

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/NRUJV34JLDRNUYFGFNOL6GTX7D \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6c689aef8958e2da60a62b5cbf1a77f8ffe0ea4e17196cc4dd0393305a371bd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "335ba20f0229bb239b574f3bd2fbfc677dff43c8bf676cef9b239d96b5448f89",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-04-03T21:29:58Z",
    "title_canon_sha256": "87f6c996c0bf8197da000f07fb840a0a7a1316ca99a320dede8948d03e75ee5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.03467",
    "kind": "arxiv",
    "version": 2
  }
}