{
  "annotation_id": "c7f6e0be-859f-4c7e-8ecf-3db21e640f0d",
  "date_created": "2026-03-02T18:00:59.933000Z",
  "date_modified": "2026-03-02T18:00:59.933000Z",
  "file_hash": "d59ba34a8875fd672a34336aceed76dc2105f0d89985a71365f1b0e55f1a772b",
  "private": false,
  "record": {
    "abstract": "Many biological tissues, such as bones and ligaments, are fibrous. The\ngeometrical structure of these tissues shows that they exhibit a similar\nhierarchy in their ultra-structure and macro-structure. The aim of this work is\nto develop a model to study the failure of fibrous structures subjected to\ndynamic loading. The important feature of this model is that it describes\nfailure in terms of the loss of cohesion between fibres. We have developed a\nmodel based on the lamellar structure of compact bone with fibres oriented at 0\ndegrees, 45 degrees and 90 degrees to the longitudinal axis of the bone, and\nhave studied the influence of the model parameters on the failure process. Bone\nporosity and joint stress force at failure were found to be the most\nsignificant parameters. Using least square resolution, we deduced a\nphenomenological model of the lamellar structure. Finally, experimental results\nwere found to be comparable with our numerical model.",
    "arxiv_id": "physics/0509100",
    "authors": [
      "Martine Pithioux",
      "P. Chabrand",
      "M. Jean"
    ],
    "categories": [
      "physics.class-ph",
      "physics.bio-ph"
    ],
    "journal_ref": "Computer Methods in Biomechanics and Biomedical Engineering 5\n  (2002) 351-359",
    "title": "Constitutive Laws and Failure Models for Compact Bones Subjected to   Dynamic Loading",
    "url": "https://arxiv.org/abs/physics/0509100"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ee1702c1-4b62-4aa1-9dd6-236810282ec4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}