Table 2 Material parameters for cartilage obtained by fitting the models to experimental data.
Strain rate (min−1) | Fung | Gent | Odgen | |||||||
---|---|---|---|---|---|---|---|---|---|---|
\(\mu_{0}\) | b | nMSE | \(\mu_{0}\) | \(J_{m}\) | nMSE | \(\mu_{0}\)(e−2) | \(\alpha\) | nMSE | ||
FMI | 3% | 0.13 | 2.62 | 0.004 | 0.24 | 1.01 | 0.020 | 3.82 | 12.56 | 0.005 |
30% | 0.25 | 2.69 | 0.007 | 0.43 | 0.97 | 0.025 | 6.66 | 12.91 | 0.000 | |
300% | 1.01 | 2.87 | 0.010 | 2.17 | 1.05 | 0.026 | 25.01 | 13.24 | 0.016 | |
FLI | 3% | 0.08 | 2.52 | 0.003 | 0.13 | 1.02 | 0.017 | 3.61 | 10.84 | 0.000 |
30% | 0.27 | 2.65 | 0.005 | 0.47 | 0.99 | 0.023 | 9.66 | 11.94 | 0.001 | |
300% | 1.10 | 2.77 | 0.005 | 2.19 | 1.02 | 0.019 | 26.95 | 13.17 | 0.010 | |
FPI | 3% | 0.15 | 2.64 | 0.004 | 0.26 | 1.01 | 0.019 | 6.66 | 11.21 | 0.001 |
30% | 0.30 | 2.75 | 0.006 | 0.55 | 0.96 | 0.030 | 7.71 | 13.26 | 0.000 | |
300% | 1.88 | 2.91 | 0.009 | 4.05 | 1.01 | 0.031 | 37.46 | 14.07 | 0.013 | |
TMI-M | 3% | 0.08 | 3.03 | 0.003 | 0.17 | 0.98 | 0.022 | 3.14 | 12.36 | 0.000 |
30% | 0.13 | 3.11 | 0.004 | 0.30 | 0.98 | 0.025 | 4.60 | 12.87 | 0.000 | |
300% | 0.41 | 3.14 | 0.003 | 0.97 | 0.98 | 0.021 | 12.81 | 13.29 | 0.002 | |
TLI-M | 3% | 0.08 | 3.07 | 0.006 | 0.16 | 0.94 | 0.026 | 3.53 | 12.07 | 0.007 |
30% | 0.17 | 3.15 | 0.005 | 0.41 | 0.99 | 0.026 | 7.32 | 12.35 | 0.001 | |
300% | 0.70 | 3.20 | 0.011 | 1.87 | 1.01 | 0.024 | 25.94 | 12.91 | 0.006 | |
TMI | 3% | 0.05 | 2.60 | 0.001 | 0.09 | 1.01 | 0.010 | 2.19 | 11.54 | 0.009 |
30% | 0.05 | 2.72 | 0.020 | 0.08 | 0.94 | 0.022 | 2.27 | 11.81 | 0.029 | |
300% | 0.18 | 2.81 | 0.009 | 0.40 | 1.06 | 0.014 | 6.99 | 11.97 | 0.009 | |
TLI | 3% | 0.08 | 2.65 | 0.004 | 0.14 | 1.02 | 0.020 | 3.62 | 11.08 | 0.001 |
30% | 0.09 | 2.66 | 0.018 | 0.13 | 0.94 | 0.027 | 3.91 | 11.29 | 0.018 | |
300% | 0.75 | 2.71 | 0.015 | 1.63 | 1.08 | 0.025 | 31.08 | 11.64 | 0.012 |