Table 1 Material properties of the spinal components.

From: A study on the macro- and micro-dynamic characteristics of lumbar spine under different frequencies based on finite element analysis

Spinal

components

Young’s modulus

(MPa)

Poisson’s ratio

Cross-sectional area (\(m{m^2}\))

Element

type

Element

numbers

Density\(({10^{ - 6}}kg/m{m^3}\))

Cortical

\({E_{xx}}=11300\)

  

C3D8R

310324

1.7

\({E_{yy}}=11300\)

 

\({E_{zz}}=22000\)

\({\upsilon _{xy}}=0.484\)

\({G_{xy}}=3800\)

\({\upsilon _{yz}}=0.203\)

\({G_{yz}}=5400\)

\({\upsilon _{xz}}=0.203\)

\({G_{xz}}=5400\)

 

Cancellous bone

\({E_{xx}}=140\)

  

C3D4/C3D5

849078

1.1

\({E_{yy}}=140\)

\({E_{zz}}=200\)

\({\upsilon _{xy}}=0.450\)

\({G_{xy}}=48.3\)

\({\upsilon _{yz}}=0.315\)

\({G_{yz}}=48.3\)

\({G_{xz}}=48.3\)

\({\upsilon _{xz}}=0.315\)

Posterior

3500

0.25

 

C3D4

450,086

1.4

Endplate

24

0.4

 

C3D8R

10,538

1.2

Nucleus pulpous

C10 = 0.12, C01 = 0.03

 

C3D8RH

22,108

1.02

Annulus substance

C10 = 0.18, C01 = 0.045

 

C3D8RH

28,478

1.05

Annulus fibers

 Outermost layer

550

0.3

0.7

T3D2

4654

1

 Second layer

495

0.3

0.63

1

 Third layer

440

0.3

0.55

1

 Fourth layer

420

0.3

0.49

1

 Fifth layer

385

0.3

0.41

1

Innermost layer

360

0.3

0.30

1

ALL

15

 

63.7

T3D2

35

1

PLL

18

 

20

T3D2

25

1

LF

12

 

40

T3D2

24

1

SSL

10

 

30

T3D2

5

1

ISL

10

 

40

T3D2

30

1

ITL

50

 

1.8

T3D2

20

1

CL

18

 

30

T3D2

81

1