Elastica-based strain energy functions for soft biological tissue
Tissues and Organs
2007-07-28 v5 Quantitative Methods
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.
Keywords
Cite
@article{arxiv.q-bio/0701006,
title = {Elastica-based strain energy functions for soft biological tissue},
author = {K. Garikipati and S. Göktepe and C. Miehe},
journal= {arXiv preprint arXiv:q-bio/0701006},
year = {2007}
}
Comments
To appear in J. Mech. Phys. Solids