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. 2024 Oct 3;17(19):4870. doi: 10.3390/ma17194870

Table 5.

For the KWW spectrum Hτ (75) and the models H¯KMv (41), H¯Kv (42), and H¯Kτ (43): time-scale factors α; numbers of model summands K; regularization parameters λ; the model’s smoothness indices H¯KMv2=H¯Kτ2 and H¯Kv2; the mean square relaxation modulus approximation index QKg¯Kλ (58); norms g¯Kλ2 (49) of the model parameter vectors; the integral square approximation indices Jg¯Kλ (63); and relative index Jrelg¯Kλ (64).

K α[s] λ[s1] H¯Kτ2[MPa·s1/2] H¯Kv2MPa·s1/2 QKg¯KλMPa2 g¯Kλ2MPa·s Jg¯KλMPa2·s Jrelg¯Kλ
25 0.8 2 × 10−5 0.454723 0.267896 9.46218 × 10−8 76.901664 1.83447 × 10−3 8.77098 × 10−3
50 0.65 7 × 10−5 0.456956 0.284479 8.70335 × 10−8 29.800961 9.82909 × 10−4 4.69948 × 10−3
75 0.6 7.5 × 10−5 0.4571396 0.289756 8.52022 × 10−8 33.705039 8.50259 × 10−4 4.06526 × 10−3
100 0.65 8.5 × 10−5 0.456765 0.284243 8.18454 × 10−8 33.6572199 8.26024 × 10−4 3.94938 × 10−3
150 0.6 1 × 10−4 0.457356 0.289670 8.28962 × 10−8 35.262493 8.41199 × 10−4 4.02194 × 10−3
200 0.6 1.5 × 10−4 0.456657 0.289207 8.25479 × 10−8 27.087999 7.34565 × 10−4 3.51210 × 10−3
300 0.55 1.6 × 10−4 0.456875 0.294931 7.97708 × 10−8 30.574734 7.12159 × 10−4 3.40497 × 10−3
400 0.55 1.6 × 10−4 0.456791 0.294901 8.10268 × 10−8 35.581507 7.12571 × 10−4 3.40694 × 10−3