Vol. 9, No. 5, 2014
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A nonlinear stress-stretch relationship for a single collagen fibre in tension

Francesco Genna
Vol. 9 (2014), No. 5, 475–496
DOI: 10.2140/jomms.2014.9.475
Abstract

A new stress-strain equation for a single, stretched collagen fibre (bundle) is developed, based on the statistical description of the fibre microstructure, down to the tropocollagen molecule level. The derivation follows previous work of Annovazzi and Genna (2010), but the modifications reported here both simplify and improve the final result. The model is governed by physically meaningful parameters. Comparisons between the model predictions and some available experimental results suggest that the proposed model could be of value in bioengineering applications.

Keywords
collagen fibre, constitutive modelling, microstructure, statistical analysis
Milestones
Received: 19 February 2014
Revised: 16 June 2014
Accepted: 14 July 2014
Published: 14 December 2014
Authors
Francesco Genna
Department of Civil Engineering
University of Brescia
Via Branze 43
I-25123 Brescia
Italy