Holzapfel, G. and Ogden, R. (2020) A damage model for collagen fibres with an application to collagenous soft tissues. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, 20190821. (doi: 10.1098/rspa.2019.0821)
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213447.pdf - Accepted Version 180kB |
Abstract
We propose a mechanical model to account for progressive damage in collagen fibres within fibrous soft tissues. The model has a similar basis to the pseudoelastic model that describes the Mullins effect in rubber but it also accounts for the effect of cross-links between collagen fibres. We show that the model is able to capture experimental data obtained from rat tail tendon fibres, and the combined effect of damage and collagen cross-links is illustrated for a simple shear test. The proposed three-dimensional framework allows a straightforward implementation in finite-element codes, which are needed to analyse more complex boundary-value problems for soft tissues under supra-physiological loading or tissues weakened by disease.
| Item Type: | Articles |
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| Additional Information: | Funding. The work of R.W.O. was funded in part by UK EPSRC grant no. EP/N014642/1 |
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Ogden, Professor Raymond |
| Authors: | Holzapfel, G., and Ogden, R. |
| Subjects: | Q Science > QA Mathematics |
| College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
| Journal Name: | Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences |
| Journal Abbr.: | PRSA |
| Publisher: | The Royal Society |
| ISSN: | 1364-5021 |
| ISSN (Online): | 1471-2946 |
| Published Online: | 22 April 2020 |
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