|
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
|
|---|
|
τi
|
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
|
[52, 57]
|
|
ν
|
0.4
|
|
ITL
|
E (MPa)
|
4.7
|
[52, 57]
|
|
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
|
