Table 3.

Optimized model constants for constant and dynamic shear stress experiments

Model		C1	C2	α	β	LSE (× 10−3)
a) Constant only
L		7.59 × 10−6	-	-	-	1.9
OPL		1.47 × 10−6	-	1.0400	1.3000	1.0
CPL		5.35 × 10−5	-	0.8240	0.7620	2.1
MPL		7.30 × 10−2	-	1.0300	0.0063	33.4
L w/ loading rate	C1=C2	4.36 × 10−6	-	-	-	1.7
	C1≠C2	5.78 × 10−6	2.65 × 10−6	-	-	1.5
CPL w/ loading rate	C1=C2	3.40 × 10−5	-	0.5280	0.9700	3.0
	C1≠C2	2.07 × 10−5	2.14 × 10−9	0.8720	0.9000	1.5
MPL w/ loading rate		6.19 × 10−7	-	1.0400	1.4400	32.2
b) Dynamic only
L		3.39 × 10−5	-	-	-	12.4
CPL		1.30 × 10−4	-	1.0293	0.7249	11.7
MPL		7.85 × 10−8	-	1.2600	2.0700	114.0
L w/ loading rate	C1=C2	7.52 × 10−9	-	-	-	17.6
	C1≠C2	2.17 × 10−5	3.59 × 10−9	-	-	6.9
CPL w/ loading rate	C1=C2	9.10 × 10−2	-	0.0002	0.0468	2.7
	C1≠C2	9.84 × 10−3	4.15 × 10−6	0.4291	0.1628	2.4
MPL w/ loading rate		6.86 × 10−6	-	0.3120	1.3200	83.9
c) Constant and dynamic
L		1.23 × 10−5	-	-	-	48.6
CPL		5.59 × 10−1	-	0.3940	0.0068	17.1
MPL		1.46 × 10−2	-	0.1500	0.2810	149.0
L w/ loading rate	C1=C2	7.53 × 10−9	-	-	-	35.2
	C1≠C2	8.65 × 10−6	5.95 × 10−9	-	-	13.0
CPL w/ loading rate	C1=C2	6.97 × 10−3	-	0.0004	0.3710	10.8
	C1≠C2	2.58 × 10−3	7.43 × 10−7	0.6890	0.2430	5.5
MPL w/ loading rate		8.30 × 10−7	-	1.2200	1.2600	91.7

Constants are optimized values corresponding to the lowest least square errors (LSE) for the linear (L), cumulative power law (CPL), and modified cumulative power law (MPL) models. Constants were optimized for (a) constant shear stress waveforms only, (b) dynamic shear stress waveforms only, and (c) constant and dynamic shear stress waveforms in combination.