dorsal/arxiv
View SchemaElastica-based strain energy functions for soft biological tissue
| Authors | K. Garikipati, S. Göktepe, C. Miehe |
|---|---|
| Categories | |
| ArXiv ID | q-bio/0701006 |
| URL | https://arxiv.org/abs/q-bio/0701006 |
| DOI | 10.1016/j.jmps.2007.07.005 |
Abstract
Continuum strain energy functions are developed for soft biological tissues that possess long fibrillar components. The treatment is based on the model of an elastica, which is our fine scale model, and is homogenized in a simple fashion to obtain a continuum strain energy function. Notably, we avoid solving the full fourth-order, nonlinear, partial differential equation for the elastica by resorting to other assumptions, kinematic and energetic, on the response of the individual, elastica-like fibrils.
{
"annotation_id": "890fdd6d-1611-4b36-a8b1-e7f39080e84a",
"date_created": "2026-03-02T18:01:35.749000Z",
"date_modified": "2026-03-02T18:01:35.749000Z",
"file_hash": "f5059dbc21fefaa3d9eb8e21dbe5ea8489ef89eff34a9c92f3433921311eb7e0",
"private": false,
"record": {
"abstract": "Continuum strain energy functions are developed for soft biological tissues\nthat possess long fibrillar components. The treatment is based on the model of\nan elastica, which is our fine scale model, and is homogenized in a simple\nfashion to obtain a continuum strain energy function. Notably, we avoid solving\nthe full fourth-order, nonlinear, partial differential equation for the\nelastica by resorting to other assumptions, kinematic and energetic, on the\nresponse of the individual, elastica-like fibrils.",
"arxiv_id": "q-bio/0701006",
"authors": [
"K. Garikipati",
"S. G\u00f6ktepe",
"C. Miehe"
],
"categories": [
"q-bio.TO",
"q-bio.QM"
],
"doi": "10.1016/j.jmps.2007.07.005",
"title": "Elastica-based strain energy functions for soft biological tissue",
"url": "https://arxiv.org/abs/q-bio/0701006"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bbf40af8-f523-44fc-9d94-c8b31b9cc501",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}