Table 3.
Fiber stiffness amplification and interaction as a function of surrounding PAM gel stiffness. PAM gel stiffness is the first column is a group label with “target” stiffness, actual stiffness of the impregnating environment is listed in Table 1. A substantial increase in apparent fiber stiffness was observed with the impregnation of stiffer PAM gel surrounding the fibers. A stiffer surrounding environment also promotes higher magnitude interactions in between fibers.
PAM shear modulus μm (kPa) |
n | fiber stiffness amplification χ(μm) (fold increase) |
fiber-fiber interaction ηint (μm) (kPa) |
---|---|---|---|
0.0 | 4 | 4.4464 ± 0.6258 | 7,380.929 ± 20.847 |
3.8 | 4 | 3.1138 ± 0.3442 | 4,840.594 ± 954.413 |
8.0 | 5 | 3.8214 ± 1.1133 | 6,272.003 ± 2,586.152 |
12.0 | 5 | 5.6812 ± 0.8528 | 10,267.599 ± 2,021.273 |
19.0 | 3 | 6.4451 ± 0.5180 | 10,182.950 ± 1,180.192 |
24.0 | 3 | 13.2459 ± 1.7264 | 21,514.210 ± 3,289.930 |
42.0 | 3 | 14.5941 ± 2.9029 | 24,549.547 ± 3,545.079 |
48.0 | 3 | 20.7062 ± 1.3833 | 42,399.357 ± 3,439.207 |
| |||
χ(μm) = 3.4902 e0.0374μm | ηint (μm) = 5559.7 e0.0405μm | ||
R2 = 0.88587 | R2 = 0.88734 |