Ligaments (Prony Series Viscoelastic Model), \( {\boldsymbol{g}}_{\boldsymbol{R}}=\mathbf{1}-{\sum}_{\boldsymbol{i}=\mathbf{1}}^{\mathbf{3}}{\boldsymbol{g}}_{\boldsymbol{i}}\left(\mathbf{1}-{\boldsymbol{e}}^{-\frac{\boldsymbol{t}}{{\boldsymbol{\tau}}_{\boldsymbol{i}}}}\right) \) | ||||
---|---|---|---|---|
Prony Series Variables | i = 1 | i = 2 | i = 3 | Reference |
Ï„i | 0.3991 | 0.3605 | 0.1082 | [54] |
Gi | 0.7 | 0.149 | 0.15 | |
ti | 3.4519 | 2000 | 7000 | |
 | Material Properties |  |  | |
Ligaments | ALL | E (MPa) | 11.4 | [55] |
ν | 0.4 | |||
CL | E (MPa) | 7.7 | [56] | |
ν | 0.4 | |||
ISL | E (MPa) | 4.7 | ||
ν | 0.4 | |||
ITL | E (MPa) | 4.7 | ||
ν | 0.4 | |||
LF | E (MPa) | 4.2 | [58] | |
ν | 0.4 | |||
PLL | E (MPa) | 9.12 | [58] | |
ν | 0.4 | |||
Collagen Fibers | E (MPa) | 100 | [20] | |
ν | 0.3 | |||
Facet Cartilage | E (MPa) | 11 | [32] | |
ν | 0.4 |