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. Author manuscript; available in PMC: 2017 Feb 1.
Published in final edited form as: J Mech Phys Solids. 2016 Feb 1;87:38–50. doi: 10.1016/j.jmps.2015.11.001

Table 1.

Parameters of the various network models considered in the numerical study and associated symbols used in Fig. 4.

# Symbol Fiber Axial Behavior
(EA)f¯/(EA)f0
Distribution Geometry
1 Open Cyan Diamonds Symmetric 103 Normal Voronoi
2 Green Plus Signs Symmetric 102 Normal Voronoi
3 Open Grey Squares Symmetric 10−2 Normal Voronoi
4 Filled Red Diamonds Symmetric 10−3 Normal Voronoi
5 Open Black Triangles* Symmetric 10−3 Normal Voronoi
6 Red Crosses Symmetric 10−3 Bimodal Voronoi
7 Open Black Circles Symmetric 10−3 Lognormal Voronoi
8 Filled Green Diamonds Symmetric 1 Normal Voronoi
9 Filled Navy Triangles Symmetric 10−3 Normal Delaunay
10 Filled Blue Circles Asymmetric 10−3 Bimodal Delaunay
11 Filled Black Squares§ Symmetric N/A Bimodal Delaunay
12 Filled Green Circles Symmetric 10−3 Bimodal Mikado
*

This sample included a different geometric replica of the Voronoi network.

In these tests the stiffness of each fiber was randomly chosen as either (EA)f¯+σ(EA)f or (EA)f¯-σ(EA)f.

The elastic behavior of this sample was not close to either of the stretch or bending dominated asymptotes in Fig. 2.

§

Indicates tests on networks of linear springs (zero bending, torsional and shear stiffness).