Fig. 8.
Length z(t, ς = l) of the fiber relaxing over time t for different initial lengths l and different stretch λe values. (a) Length z(t, ς = l) of the fiber relaxing over time t, with R = 78 nm, tan αs = 5.22, tan αe = 7.84, λe = 1.501, and the initial length values l = 0.5 μm, l = 0.75 μm, and l = 1.0 μm. Inset: the same curves with y-axis normalized by the initial lengths of the fibers z(t = 0, ς = l). For λe = 1.501, the fibers relax to the lengths 0.34 μm, 0.50 μm, and 0.67 μm, respectively, from Eq. (32), in excellent agreement with the lengths l/λe = 0.33 μm, l/λe = 0.50 μm, and l/λe = 0.67 μm from the theory proposed in Section 4.3. (b) Length z(t, ς = l) of the fiber relaxing over time t for different stretch λe values, with R = 78 nm, tan αs = 5.22, l = 1.0 μm, and the stretch and pitch angle values λe = 1.2 and tan αe = 6.27, λe = 1.501 and tan αe = 7.84, and λe = 1.8 and tan αe = 9.40..