Pith Number

pith:JUQI2VSG

pith:2026:JUQI2VSGFCETA33YDKDTPVQAXD

not attested not anchored not stored refs resolved

Bridging perturbation and variational approaches in brittle fracture

Antoine Sanner, Jean Sulem, Lars Pastewka, Mathias Lebihain, Serafim Egorov

A variational model merges energy minimization with crack-front perturbation theory to simulate three-dimensional brittle fracture in disordered solids.

arxiv:2605.12631 v1 · 2026-05-12 · cond-mat.mtrl-sci

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Claims

C1strongest claim

The simulations reproduce the transition from smooth to intermittent crack growth, and show that mode mixity has limited influence on the onset of intermittency but induces quasi-elliptic fronts in mixed II+III loading. They reveal a size-dependent crossover from disorder-induced weakening to toughening controlled by the emergence of depinning instabilities.

C2weakest assumption

The assumption that crack fronts remain strictly coplanar and that the elastic potential energy can be accurately captured by first-order perturbation expansions around a reference front even in strongly heterogeneous media.

C3one line summary

A variational reduced-order model bridges perturbation and variational fracture approaches to simulate coplanar 3D crack propagation in heterogeneous brittle solids, uncovering size-dependent weakening-to-toughening crossovers driven by depinning instabilities.

References

126 extracted · 126 resolved · 0 Pith anchors

[1] Shapiro, Serge A. , year =. Fluid-. doi:10.1017/CBO9781139051132 , file = · doi:10.1017/cbo9781139051132

[2] Journal of Geophysical Research: Solid Earth , author = 1994 · doi:10.1029/93jb02581

[3] International Journal of Fracture , author = 1987 · doi:10.1007/bf00013168

[4] International Journal of Solids and Structures , author = 2006 · doi:10.1016/j.ijsolstr.2005.06.041

[5] Journal of the Mechanics and Physics of Solids , author = 2011 · doi:10.1016/j.jmps.2010.12.006

Receipt and verification

First computed	2026-05-18T03:10:00.204453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d208d56462889306f781a8737d600b8f805f972e4a662c4b6fa1489529f2f10

Aliases

arxiv: 2605.12631 · arxiv_version: 2605.12631v1 · doi: 10.48550/arxiv.2605.12631 · pith_short_12: JUQI2VSGFCET · pith_short_16: JUQI2VSGFCETA33Y · pith_short_8: JUQI2VSG

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JUQI2VSGFCETA33YDKDTPVQAXD \
  | 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: 4d208d56462889306f781a8737d600b8f805f972e4a662c4b6fa1489529f2f10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "310572f5ced95b28106be2c12081ff0ac6a6b481e5d9d7279cb56a99342d7c3e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2026-05-12T18:12:55Z",
    "title_canon_sha256": "3dddd35dc51000710ebc682e6c3fbb6c30c5924c0c38f26385fcb602ea804e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12631",
    "kind": "arxiv",
    "version": 1
  }
}