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. 2014 Apr 8;470(2164):20130709. doi: 10.1098/rspa.2013.0709

Table 1.

Description of the results displayed in figure 5 for the bifurcation curves of straightened Gent materials. There are three different types of Gent materials (Jm=20, rubber; Jm=2.3, young artery; Jm=0.4, old artery) and four different angles (Θ0=π/3,π/2,2π/3,π). Each curve is made of several pieces, each corresponding to the earliest bifurcation mode for a given value of ρ of the sector, with corresponding number of wrinkles k in the third column.

Jm angle number of wrinkles
20 Θ0=π/3 k=1 for 0.045<ρ≤1
20 Θ0=π/2 k=1 for 0.045<ρ<0.11 and 0.21<ρ≤1
k=2 for 0.11<ρ<0.21
20 Θ0=2π/3 k=1 for 0.045<ρ<0.11 and 0.21<ρ≤1
k=2 for 0.11<ρ<0.12 and 0.13<ρ<0.21
k=3 for 0.12<ρ<0.13
20 Θ0=π k=1 for 0.045<ρ<0.10 and 0.19<ρ≤1
k=2 for 0.10<ρ<0.11
k=3 for 0.11<ρ<0.12 and 0.17<ρ<0.19
k=4 for 0.12<ρ<0.17
2.3 Θ0=π/3 k=1 for 0.25<ρ≤1
2.3 Θ0=π/2 k=1 for 0.25<ρ<0.28 and 0.30<ρ≤1
2.3 Θ0=2π/3 k=1 for 0.25<ρ<0.28 and 0.31<ρ≤1
k=2 for 0.28<ρ<0.31
2.3 Θ0=π k=1 for 0.25<ρ<0.27 and 0.31<ρ≤1
k=2 for 0.27<ρ<0.28
k=3 for 0.28<ρ<0.31
0.4 Θ0=π/3 k=1 for 0.54<ρ≤1
0.4 Θ0=π/2 k=1 for 0.54<ρ≤1
0.4 Θ0=2π/3 k=1 for 0.54<ρ≤1
0.4 Θ0=π k=1 for 0.54<ρ≤1