Cross-linked fiber network embedded in an elastic matrix

被引:39
|
作者
Zhang, L. [1 ]
Lake, S. P. [2 ]
Barocas, V. H. [2 ]
Shephard, M. S. [1 ]
Picu, R. C. [1 ,3 ]
机构
[1] Rensselaer Polytech Inst, Sci Computat Res Ctr, Troy, NY 12180 USA
[2] Univ Minnesota, Dept Biomed Engn, Minneapolis, MN 55455 USA
[3] Rensselaer Polytech Inst, Dept Mech Aerosp & Nucl Engn, Troy, NY 12180 USA
基金
美国国家科学基金会; 美国国家卫生研究院;
关键词
NONFIBRILLAR MATRIX; ANNULUS FIBROSUS; MECHANICS; MODEL; TENSION;
D O I
10.1039/c3sm50838b
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
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.
引用
收藏
页码:6398 / 6405
页数:8
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