Table A1.
Variables only in appendix.
Symbol | Definition | Symbol | Definition |
---|---|---|---|
S0 | surface of V0 | normal unit vector on S | |
V | current configuration | normalized fibre orientation in V0 | |
S | surface of V | t | applied traction |
St | region of S with applied traction | κmus | bulk modulus muscle |
Sd | region of S with applied displacement | κapo | bulk modulus aponeurosis |
Vol | current volume | F | deformation tensor |
A | area in V | I | identity tensor |
t | time | B | left Cauchy tensor |
q0 | point in V0 | Biso | isovolumetric left Cauchy tensor |
q | point in V | σ | Cauchy stress tensor |
Uvol | volumetric strain-energy potential | τ | Kirchhoff tensor |
Uiso | isovolumetric strain-energy potential | I1 | first invariant |
Ubase | base material strain-energy potential | I3 | third invariant |
Ufibre | fibre strain-energy potential | I4 | fourth invariant |
Uapo,base | aponeurosis base material strain-energy potential | â | activation level in muscle fibres |
Uapo,fibre | aponeurosis fibre strain-energy potential | σ0 | maximum isometric stress of contractile elements |
Umus,base | muscle base material strain-energy potential | σbase | base material stress |
Umus,fibre | muscle fibre strain-energy potential | σmus,base | muscle base material stress |
Uact | active muscle fibre strain-energy potential | σapo,base | aponeurosis base material stress |
Upas | passive muscle fibre strain-energy potential | σfibre | fibre stress |
ψvol | volumetric strain energy-density | σmus,fibre | muscle fibre stress |
ψiso | isovolumetric energy-density | σapo,fibre | aponeurosis fibre stress |
ψbase | base energy-density | active muscle fibre stress | |
ψfibre | fibre energy-density | passive muscle fibre stress | |
ψapo,base | aponeurosis base material energy-density | ∇0 | gradient with respect to V0 |
ψapo,fibre | aponeurosis fibre energy-density | ∇ | gradient with respect to V |
ψmus,base | muscle base material energy-density | div | tensorial divergence with respect to V |
ψmus,fibre | muscle fibre energy-density | 0 | zero vector |