Table 1.
The combined model including fluid flow and complex polymer behavior (stretched exponential) separates cartilage stress-relaxation into short-and long-term processes. Short-term processes were described by the polymer (stretched exponential) model, and long-term processes were described by the fluid flow (KLM) model. The average time constant for the KLM portion of the fit (1094.9 seconds: calculated from Ha, permeability and diameter of 5 mm) was 148 times larger than the average stretched exponential time constant (7.6 sec).
| S∞ (N) | ν | Es (kPa) | Ha (kPa) | Permeability (m2/Pa-sec) | τKLM (sec) | Avg. Error (N) | SKWW (N) | β | τKWW (sec) | r2 | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Mean | -2.91 | 0.20 | 740.1 | 854.5 | 8.50E-15 | 1094.9 | 0.03 | -24.85 | 0.64 | 7.6 | 0.9998 |
| Stdev | 1.82 | 0.12 | 464.1 | 472.2 | 3.56E-15 | 323.5 | 0.02 | 17.59 | 0.04 | 1.0 | 0.0002 |