Table 1.
Examples of strength and toughness of a fibrillar interface in the flaw insensitive and flaw sensitive regimes for two types of materials.
soft materials, e.g. PDMS | stiff materials, e.g. keratin | |||
---|---|---|---|---|
E (MPa) | 1 | 2000 | ||
ν | 0.5 | 0.5 | ||
γs (mJ m−2) | 50 | 50 | ||
Wad (mJ m−2) | 50 | 50 | ||
σ0 (MPa) | 0.1 | 20 | ||
flaw insensitive | flaw sensitive | flaw insensitive | flaw sensitive | |
a (μm) | 10 | 100 | 1 | 10 |
χ | 0.24 | 2.4 | 0.48 | 4.8 |
h=10a (μm) | 100 | 1000 | 10 | 100 |
ηmin | 2.67 | 0.58 | 0.08 | 0.017 |
ωmax | 0.14 | 0.47 | 0.73 | 0.77 |
condition for fibrillar interface to be stronger at ω=ωmax | A>3.35 mm | A>0.65 mm | A>3 μm | A>19 μm |
a common value of A=4 mm is used to calculate Fs and Wf below | a common value of A=20 μm is used to calculate Fs and Wf below | |||
σs (MPa) | 0.1 | 0.06 | 20 | 8.88 |
Fs (N) at ω=ωmax | 0.72 | 1.39 | 0.02 | 0.01 |
Wf (J) at ω=ωmax | 3.98×10−6 | 4.21×10−5 | 9.6×10−10 | 1.96×10−9 |