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Table 3 Layer-specific parameters of the Holzapfel-Gasser-Ogden strain energy function of the three aortas included in this study

From: The Role of Layer-Specific Residual Stresses in Arterial Mechanics: Analysis via a Novel Modelling Framework

Layer

Sample #

\({\mu }^{k}\) (kPa)

\({c}_{1}^{k}\) (kPa)

\({c}_{2}^{k}\) (–)

\({\alpha }^{k}\) (°)

\({\rho }^{k}\) (–)

R2

Intima

I

12.7

163.5

0.1

36.6

0.20

0.98

 

II

22.7

165.8

3.3

38.9

0.21

0.97

 

III

6.5

249.5

1.1

36.2

0.20

0.96

Media

I

24.6

129.0

3.6

29.1

0.24

1.00

 

II

30.1

95.7

4.0

28.8

0.21

1.00

 

III

29.0

182.4

3.4

35.5

0.20

1.00

Adventitia

I

20.7

22.2

66.3

49.5

0.24

0.99

 

II

26.5

13.7

40.9

48.8

0.17

0.99

 

III

25.2

49.6

29.1

43.0

0.26

0.98

  1. Parameters are defined in Eq. 8; R2, coefficient of determination of the simultaneous fitting of both circumferential and axial uniaxial tensile test data