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.

Marino, M., Wriggers, P. (2017). Finite strain response of crimped fibers under uniaxial traction: An analytical approach applied to collagen. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 98, 429-453 [10.1016/j.jmps.2016.05.010].

Finite strain response of crimped fibers under uniaxial traction: An analytical approach applied to collagen

Marino M.
;
2017-01-01

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.
2017
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore ICAR/08 - SCIENZA DELLE COSTRUZIONI
English
Crimped fibers
Undulated yarn
Multiscale homogenization
Structure-mechanics relationship
Soft connective tissues
Marino, M., Wriggers, P. (2017). Finite strain response of crimped fibers under uniaxial traction: An analytical approach applied to collagen. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 98, 429-453 [10.1016/j.jmps.2016.05.010].
Marino, M; Wriggers, P
Articolo su rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/329586
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