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. 2011 Jun 16;133(6):0610021–06100211. doi: 10.1115/1.4004231

Table 2.

Closest isotropic equivalents for transversely isotropic stiffness coefficients as defined by the minimum Riemann distance between stiffness matrices [32]


Tissue parameters

Lamé parameters

Stiffness and modulus
ϕ λi Et λ μ C11 a E1 b
Healthy 0.15 (1.0, 0.67, 0.67) 1.0 0.0102 0.00626 0.0227 0.0164
Osteopenic 0.08 (1.0, 0.5, 0.5) 1.0 0.00148 0.00091 0.0033 0.00238
a

C11 = 2μ + λ.

b

E1=μ(3λ+2μ)λ+μ.