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. Author manuscript; available in PMC: 2018 Oct 1.
Published in final edited form as: Constr Build Mater. 2017 Jun 22;151:186–195. doi: 10.1016/j.conbuildmat.2017.05.151

Table 5.

Constitutive equations and variables for the model. Data for mortars with w/c = 0.30 and w/c = 0.45 is provided.

Eq. number Variable w/c=0.30 w/c=0.45 Source
Maturity equation and equivalent time

Tr 23°C 23°C [11]
αu 0.50 0.69 [11]
τ 10.09 h 12.75 h [11]
β 0.98 0.898 [11]
E For 23 °C 32800 (J/mol) For 23 °C 27400 (J/mol) [16] [6]
For 60 °C 25700 (J/mol) For 60 °C 27400 (J/mol)

Mass conservation equation

Dv 0.0155 g/(m*d) 0.0004 g/(m*d) [27]
(11) Dl = b exp(cw) b exp(cw) [27]
b=0.0055 b=0.0033
c= 144 c= 155
ρs 2390 kg/m3 2304 kg/m3 [16]
wn 0.23055 g water/g cement [17]
Mfcem
0.271 0.229 [11]

Heat conservation equation

k 2.9 W/(m·K) 2.8 W/(m·K) [16]
(12)
CpCemBM
4180Mfwater+2090Mfboundwater+722.5Mfcem+635.3MfsilicaSand
[21]
(13) λvap λvap=2500000+1859TJ/(kg·K) [6]
hm 5×10-3 g/(m2·h) 10×10-3 g/(m2·h) [20]
hc 36 W/(mK) [20]