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Finite-strain, finite-size mechanics of rigidly cross-linked biopolymer networks
Linköping University, Department of Management and Engineering, Mechanics. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-1503-8293
Royal Institute Technology, Sweden .
Harvard University, MA 02138 USA .
Harvard University, MA 02138 USA .
2013 (English)In: Soft Matter, ISSN 1744-683X, E-ISSN 1744-6848, Vol. 9, no 30, 7302-7313 p.Article in journal (Refereed) Published
Abstract [en]

The network geometries of rigidly cross-linked fibrin and collagen type I networks are imaged using confocal microscopy and characterized statistically. This statistical representation allows for the regeneration of large, three-dimensional biopolymer networks using an inverse method. Finite element analyses with beam networks are then used to investigate the large deformation, nonlinear elastic response of these artificial networks in isotropic stretching and simple shear. For simple shear, we investigate the differential bulk modulus, which displays three regimes: a linear elastic regime dominated by filament bending, a regime of strain-stiffening associated with a transition from filament bending to stretching, and a regime of weaker strain-stiffening at large deformations, governed by filament stretching convolved with the geometrical nonlinearity of the simple shear strain tensor. The differential bulk modulus exhibits a corresponding strain-stiffening, but reaches a distinct plateau at about 5% strain under isotropic stretch conditions. The small-strain moduli, the bulk modulus in particular, show a significant size-dependence up to a network size of about 100 mesh sizes. The large-strain differential shear modulus and bulk modulus show very little size-dependence.

Place, publisher, year, edition, pages
Royal Society of Chemistry , 2013. Vol. 9, no 30, 7302-7313 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-96435DOI: 10.1039/c3sm50451dISI: 000321662600010OAI: oai:DiVA.org:liu-96435DiVA: diva2:641812
Note

Funding Agencies|BiMaC Innovation||Alf de Ruvo Memorial Foundation of SCA AB||WoodWisdom-net research program||Harvard MRSEC|DMR-0820484|NSF|DMR-1006546|

Available from: 2013-08-19 Created: 2013-08-19 Last updated: 2017-12-06

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