The Material Constants of Annulus Matrix and Nucleus Pulposus Using the Prony Series | |||
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Relaxation of | Shear Relaxation Modulus (MPa.) | Bulk Relaxation Modulus (MPa.) | Relaxation Time Constant (second) |
Annulus matrix, E = 8.0 (MPa.), ν = 0.45 | g1 = 0.399 | k1 = 0.399 | τ1 = 3.45 |
g2Â =Â 0.000 | k2Â =Â 0.300 | Ï„2Â =Â 100 | |
g3Â =Â 0.361 | k3Â =Â 0.149 | Ï„3Â =Â 1000 | |
g4Â =Â 0.108 | k4Â =Â 0.150 | Ï„4Â =Â 5000 | |
Nucleus pulposus, E = 2.0 (MPa.), ν = 0.49 | g1 = 0.638 | k1 = 0.0 | τ1 = 0.141 |
g2Â =Â 0.156 | k2Â =Â 0.0 | Ï„2Â =Â 2.21 | |
g3Â =Â 0.120 | k3Â =Â 0. 0 | Ï„3Â =Â 39.9 | |
g4Â =Â 0.0383 | k4Â =Â 0.0 | Ï„4Â =Â 266 | |
g5Â =Â 0 | k4Â =Â 0.0 | Ï„4Â =Â 500 |