Finite strain response of crimped fibers under uniaxial traction

An analytical approach applied to collagen

verfasst von
Michele Marino, Peter Wriggers
Abstract

Composite materials reinforced by crimped fibers intervene in a number of advanced structural applications. Accordingly, constitutive equations describing their anisotropic behavior and explicitly accounting for fiber properties are needed for modeling and design purposes. To this aim, the finite strain response of crimped beams under uniaxial traction is herein addressed by obtaining analytical relationships based on the Principle of Virtual Works. The model is applied to collagen fibers in soft biological tissues, coupling geometric nonlinearities related to fiber crimp with material nonlinearities due to nanoscale mechanisms. Several numerical applications are presented, addressing the influence of geometric and material features. Available experimental data for tendons are reproduced, integrating the proposed approach within an optimization procedure for data fitting. The obtained results highlight the effectiveness of the proposed approach in correlating fibers structure with composite material mechanics.

Organisationseinheit(en)
Institut für Kontinuumsmechanik
Typ
Artikel
Journal
Journal of the Mechanics and Physics of Solids
Band
98
Seiten
429-453
Anzahl der Seiten
25
ISSN
0022-5096
Publikationsdatum
09.06.2016
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Physik der kondensierten Materie, Werkstoffmechanik, Maschinenbau
Elektronische Version(en)
https://doi.org/10.1016/j.jmps.2016.05.010 (Zugang: Geschlossen)
 

Details im Forschungsportal „Research@Leibniz University“