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. Author manuscript; available in PMC: 2016 Jun 15.
Published in final edited form as: Z Angew Math Phys. 2016 Apr 5;67:26. doi: 10.1007/s00033-015-0598-7

TABLE 1.

The material parameters of the soft tissue matrix and collagen fibers used in the FE modeling

Test A Permeability k 2.50 10–3 mm4 N–1 s–1
Linearly elastic, isotropic, homogeneous Young's modulus E 0.55 MPa
Poisson's ratio ν 0.1
Test B Permeability k(ξ) Fig. 4a 10–3 mm4 N–1 s–1
Linearly elastic, isotropic, inhomogeneous Young's modulus E(ξ) Fig. 4b MPa
Poisson's ratio ν 0.1
Test C Undeformed permeability k0(ξ) Fig.4a 10–3 mm4 N–1 s–1
Hyperelastic, finite deformation, with collagen fibers, homogeneous matrix Permeability parameter M 0 1.3
Matrix material parameter A 0 C 0 MPa
Matrix material parameter B 0 C 0 MPa
Matrix material parameter κ 20 C0 MPa
Matrix material parameter C 0 0.1 MPa
Fiber material parameter C 1i 0.1 MPa
Fiber material parameter λ 0.15 MPa
Fiber material parameter C 1a 5.0 MPa
Matrix-to-solid fraction ϕ~0R 1ϕ~1R
Fiber-to-solid fraction ϕ~1R Fig. 2b
Test D Undeformed permeability k0(ξ) Fig.4a 10–3 mm4 N–1 s–1
Hyperelastic, finite deformation, with collagen fibers, inhomogeneous matrix Permeability parameter M 0 1.3
Matrix material parameter A 0 C0inh(ξ) MPa
Matrix material parameter B 0 C0inh(ξ) MPa
Matrix material parameter κ 20 C0inh(ξ) MPa
Matrix material parameter C0inh(ξ) Fig.4c MPa
Matrix material parameter a C0 1.75
Matrix material parameter b C0 5.0
Fiber material parameter C 1i 0.1 MPa
Fiber material parameter λ 0.15 MPa
Fiber material parameter C 1a 5.0 MPa
Ref. matrix-to-solid fraction ϕ~0R 1ϕ~1R
Ref. fiber-to-solid fraction ϕ~1R Fig. 2b
All Tests Referential solid fraction ϕ s R 0.2
Referential fluid fraction ϕ f R 0.8