Gaussian distributed noise added to the recorded stretch experimental data
(discrete markers) in the fiber (a) and cross fiber (b) directions. Three
different ratios between fiber stretch λ1
and cross fiber stretch λ2 are considered,
i.e., 1:1 (λ1 =
λ2, circular markers ○), 2:1
(λ1 =
2λ2, square markers □), and 1:2
(λ2 =
2λ1, triangular markers ▽). On
each side of the experimentally measured curves in panels (a) and (b), the
97.5% percentile limit corresponding to 10%, 20%, and
30% is reported (shaded regions on each side of the experimental
markers). The confidence ellipses corresponding to the three levels of noise
(±10%, ±20%, and ±30%) are
reported in panel (c). The confidence ellipses are normalized with respect to
the material properties α̂1 and
α̂2 identified without
noise.