Effect of fiber crimp on the elasticity of random fiber networks with and without embedding matrices

Ehsan Ban, Victor H Barocas, Mark S. Shephard, Catalin R. Picu

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Fiber networks are assemblies of one-dimensional elements representative of materials with fibrous microstructures such as collagen networks and synthetic nonwovens. The mechanics of random fiber networks has been the focus of numerous studies. However, fiber crimp has been explicitly represented only in few cases. In the present work, the mechanics of cross-linked networks with crimped athermal fibers, with and without an embedding elastic matrix, is studied. The dependence of the effective network stiffness on the fraction of nonstraight fibers and the relative crimp amplitude (or tortuosity) is studied using finite element simulations of networks with sinusoidally curved fibers. A semi-analytic model is developed to predict the dependence of network modulus on the crimp amplitude and the bounds of the stiffness reduction associated with the presence of crimp. The transition from the linear to the nonlinear elastic response of the network is rendered more gradual by the presence of crimp, and the effect of crimp on the network tangent stiffness decreases as strain increases. If the network is embedded in an elastic matrix, the effect of crimp becomes negligible even for very small, biologically relevant matrix stiffness values. However, the distribution of the maximum principal stress in the matrix becomes broader in the presence of crimp relative to the similar system with straight fibers, which indicates an increased probability of matrix failure.

Original languageEnglish (US)
Article number041008
JournalJournal of Applied Mechanics, Transactions ASME
Volume83
Issue number4
DOIs
StatePublished - Apr 1 2016

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embedding
Elasticity
elastic properties
fibers
Fibers
matrices
Stiffness
stiffness
Mechanics
Stiffness matrix
Collagen
stiffness matrix
collagens
tangents
assemblies
Microstructure
microstructure

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Effect of fiber crimp on the elasticity of random fiber networks with and without embedding matrices. / Ban, Ehsan; Barocas, Victor H; Shephard, Mark S.; Picu, Catalin R.

In: Journal of Applied Mechanics, Transactions ASME, Vol. 83, No. 4, 041008, 01.04.2016.

Research output: Contribution to journalArticle

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