{
  "annotation_id": "d4004f40-978f-4a11-9409-b5d89f1694e4",
  "date_created": "2026-03-02T18:01:03.668000Z",
  "date_modified": "2026-03-02T18:01:03.668000Z",
  "file_hash": "592acbab38a91eada2a4c3b3cde6aa1deccb0c8af2a41613dec0ab9bb72a51c4",
  "private": false,
  "record": {
    "abstract": "For a given external loading on a structure we consider the optimal stresses.\nIgnoring the material properties the structure may have, we look for the\ndistribution of internal forces or stresses that is in equilibrium with the\nexternal loading and whose maximal component is the least. We present an\nexpression for this optimal value in terms of the external loading and the\nmatrix relating the external degrees of freedom and the internal degrees of\nfreedom. The implementation to finite element models consisting of elements of\nuniform stress distributions is presented. Finally, we give an example of\nstress optimization for of a two-element model of a cylinder under external\ntraction.",
    "arxiv_id": "physics/0601088",
    "authors": [
      "Reuven Segev",
      "Gal deBotton"
    ],
    "categories": [
      "physics.comp-ph",
      "physics.class-ph"
    ],
    "title": "Optimal Stresses in Structures",
    "url": "https://arxiv.org/abs/physics/0601088"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4bdd234a-6184-4933-8e41-aec568250c58",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}