Cross-linked fiber network embedded in an elastic matrix

L. Zhang, S. P. Lake, Victor H Barocas, M. S. Shephard, R. C. Picu

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

The mechanical behavior of a three-dimensional cross-linked fiber network embedded in a matrix is studied in this work. The network is composed from linear elastic fibers which store energy only in the axial deformation mode, while the matrix is also isotropic and linear elastic. Such systems are encountered in a broad range of applications, from tissue to consumer products. As the matrix modulus increases, the network is constrained to deform more affinely. This leads to internal forces acting between the network and the matrix, which produce strong stress concentration at the network cross-links. This interaction increases the apparent modulus of the network and decreases the apparent modulus of the matrix. A model is developed to predict the effective modulus of the composite and its predictions are compared with numerical data for a variety of networks.

Original languageEnglish (US)
Pages (from-to)6398-6405
Number of pages8
JournalSoft Matter
Volume9
Issue number28
DOIs
StatePublished - Jul 28 2013

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fibers
Fibers
matrices
Consumer products
Stress concentration
stress concentration
Tissue
Composite materials
composite materials
products
predictions
interactions
energy

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Zhang, L., Lake, S. P., Barocas, V. H., Shephard, M. S., & Picu, R. C. (2013). Cross-linked fiber network embedded in an elastic matrix. Soft Matter, 9(28), 6398-6405. https://doi.org/10.1039/c3sm50838b

Cross-linked fiber network embedded in an elastic matrix. / Zhang, L.; Lake, S. P.; Barocas, Victor H; Shephard, M. S.; Picu, R. C.

In: Soft Matter, Vol. 9, No. 28, 28.07.2013, p. 6398-6405.

Research output: Contribution to journalArticle

Zhang, L, Lake, SP, Barocas, VH, Shephard, MS & Picu, RC 2013, 'Cross-linked fiber network embedded in an elastic matrix', Soft Matter, vol. 9, no. 28, pp. 6398-6405. https://doi.org/10.1039/c3sm50838b
Zhang, L. ; Lake, S. P. ; Barocas, Victor H ; Shephard, M. S. ; Picu, R. C. / Cross-linked fiber network embedded in an elastic matrix. In: Soft Matter. 2013 ; Vol. 9, No. 28. pp. 6398-6405.
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