Modeling of Compressive Strength Development of High-Early-Strength-Concrete at Different Curing Temperatures

Table 4 Statistical parameters with the best-fitting values of S _u, k _r, t _0r, A and \( E \) and a function of β.

Cases	Specimens		Eq. no.	\( f_{cd}^{'} \) (MPa)	T _max (°C)	No. of data	Regression parameters and β						Statistical parameters on S _thy/S _exp
Cases	No.	Name	Eq. no.	\( f_{cd}^{'} \) (MPa)	T _max (°C)	No. of data	S _u (MPa)	k _r (h⁻¹)	t _0r (h)	A (\( \times 10^{5} {\text{hrs}}^{ - 1} \))	E (\( {\text{J}}/{\text{mol}} \))	β	μ	σ
I	1-5	CL20-60	5	30	All	70	39.8	0.04	9.6	–	–	–	1.41	1.23
	6-10	CM20-60		40	All	70	47.0	0.07	8.8	–	–	–	0.99	0.30
	11-15	CH20-60		50	All	70	56.8	0.07	9.4	–	–	–	1.34	1.09
II	1	CL20	5	30	20	14	44.0	0.031	9.7	1.006	36,541.3	–	1.66	1.54
	2	CL30			30	14	42.6	0.034	9.9	1.006	36,270.3	–	1.30	0.66
	3	CL40			40	14	41.1	0.036	8.2	1.006	36,154.5	–	1.01	0.15
	4	CL50			50	14	39.7	0.034	10.2	1.005	36,287.0	–	1.45	1.09
	5	CL60			60	14	38.3	0.042	9.3	1.006	35,789.3	–	1.11	0.32
	6	CM20		40	20	14	52.5	0.071	9.3	1.010	34,518.5	–	1.17	0.43
	7	CM30			30	14	50.8	0.054	8.4	1.009	35,185.0	–	1.02	0.07
	8	CM40			40	14	49.1	0.063	8.3	1.007	34,780.9	–	1.03	0.06
	9	CM50			50	14	47.4	0.060	8.8	1.008	34,900.1	–	0.96	0.23
	10	CM60			60	14	45.7	0.080	9.0	1.009	34,227.4	–	1.03	0.11
	11	CH20		50	20	14	62.4	0.076	8.9	1.010	34,340.3	–	0.97	0.19
	12	CH30			30	14	60.4	0.068	9.3	1.010	34,616.0	–	1.21	0.54
	13	CH40			40	14	58.3	0.059	9.6	1.009	34,952.6	–	1.69	1.70
	14	CH50			50	14	56.3	0.057	9.8	1.009	35,047.0	–	1.19	0.50
	15	CH60			60	14	54.2	0.063	9.6	1.008	34,791.3	–	1.19	0.50
III	1-15	All	5	All	All	210	Equation (7)	Equation (6)	9.02	1.000	Equation (8)	–	1.30	1.16
IV	1-15	All	10	All	All	210	Equation (7)	Equation (6)	9.02	1.000	Equation (8)	Equation (9)	0.97	0.22