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Gasser, Ogden, Holzapfel, 2006
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Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
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Component: equations
I1
=
3
+
2
Emm
+
2
Enn
+
2
Ess
I2
=
3
+
-4
Emn
Emn
+
4
Enn
+
-4
Ems
Ems
+
-4
Ens
Ens
+
4
1
+
Enn
Ess
+
4
1
+
Enn
Ess
+
4
1
+
Enn
+
Ess
Emm
I4
=
1
+
2
Emm
I6
=
1
+
2
Enn
I8
=
1
+
2
Ess
Tdevmm
=
4
c21
ⅇ
c22
I2
-
3
2
I2
-
3
1
+
Enn
+
Ess
+
2
c41
ⅇ
c42
I4
1
-
3
kappa1
-
1
2
I4
1
-
3
kappa1
-
1
1
-
3
kappa1
Tdevmn
=
-4
c21
ⅇ
c22
I2
-
3
2
I2
-
3
Emn
Tdevms
=
-4
c21
ⅇ
c22
I2
-
3
2
I2
-
3
Ems
Tdevnn
=
4
c21
ⅇ
c22
I2
-
3
2
I2
-
3
1
+
Emm
+
Ess
+
2
c61
ⅇ
c62
I6
1
-
3
kappa2
-
1
2
I6
1
-
3
kappa2
-
1
1
-
3
kappa2
Tdevss
=
4
c21
ⅇ
c22
I2
-
3
2
I2
-
3
1
+
Emm
+
Enn
+
2
c81
ⅇ
c82
I8
1
-
3
kappa3
-
1
2
I8
1
-
3
kappa3
-
1
1
-
3
kappa3
Tdevns
=
-4
c21
ⅇ
c22
I2
-
3
2
I2
-
3
Ens
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Derived from workspace
Gasser, Ogden, Holzapfel, 2006
at changeset
e6566048e6e9
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Hyperelastic modelling of arterial layers with distributed collagen fibre orientations
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations