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. 2020 Aug 31;11:813. doi: 10.3389/fphys.2020.00813

Table A1.

Variables only in appendix.

Symbol Definition Symbol Definition
S0 surface of V0 n^0 normal unit vector on S
V current configuration a^0 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 σ^act active muscle fibre stress
ψfibre fibre energy-density σ^pas 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