Pith Number

pith:4QMUB26D

pith:2025:4QMUB26D2LETNWVYL77QIMOVRV

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A novel large-strain kinematic framework for fiber-reinforced laminated composites and its application in the characterization of damage

Sandipan Paul Shivam

A three-term decomposition of the deformation gradient isolates damage in fiber-reinforced laminates.

arxiv:2512.22285 v1 · 2025-12-25 · physics.class-ph · cond-mat.mtrl-sci

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Claims

C1strongest claim

The proposed kinematics results in a three-term decomposition of the deformation gradient i.e. F = F^e F^r_α F^d_α, where α represents either the matrix or the fiber. ... The derived damage contents can be used in developing an appropriate constitutive model for laminated composites undergoing damage.

C2weakest assumption

The underlying physics of the proposed kinematics remains consistent when the multi-continuum theory of Bedford and Stern (1972) is applied to large-strain fiber-reinforced laminates and when incompatibility is taken as a direct measure of damage.

C3one line summary

A three-term decomposition F = F^e F^r_α F^d_α of the deformation gradient, derived from multi-continuum theory, enables geometric characterization of matrix cracking, fiber breakage, interfacial debonding, and delamination in large-strain composite laminates.

References

48 extracted · 48 resolved · 0 Pith anchors

[1] Mechanics of the inelastic behavior of materials 1998

[2] A multi-continuum theory for composite elastic materials.Acta Mechanica, 14(2):85–102, 1972 1972

[3] Soft robotic reinforced by carbon fiber skeleton with large deformation and enhanced blocking forces.Composites Part B: Engineering, 223:109099, 2021 2021

[4] Origami- based deployable structures made of carbon fiber reinforced polymer composites.Composites Science and Technology, 191:108060, 2020 2020

[5] Hyperelastic modelling of arterial layers with distributed collagen fibre orientations.Journal of the royal society interface, 3(6):15–35, 2006 2006

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-25T02:01:11.381688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e41940ebc3d2c936dab85fff0431d58d405e6041cc7997d1af1a062f86486c59

Aliases

arxiv: 2512.22285 · arxiv_version: 2512.22285v1 · doi: 10.48550/arxiv.2512.22285 · pith_short_12: 4QMUB26D2LET · pith_short_16: 4QMUB26D2LETNWVY · pith_short_8: 4QMUB26D

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4QMUB26D2LETNWVYL77QIMOVRV \
  | 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: e41940ebc3d2c936dab85fff0431d58d405e6041cc7997d1af1a062f86486c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8c1f3971e7967747ae722dc13c86e08c98bb6c39443c3742199fe645c7dc877",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2025-12-25T07:11:04Z",
    "title_canon_sha256": "d24435a756f08e2be2877f9aeddf1be41433290ea5ec1f4dd63dc7d133e782b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.22285",
    "kind": "arxiv",
    "version": 1
  }
}