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Frontiers of Structural and Civil Engineering

ISSN 2095-2430

ISSN 2095-2449(Online)

CN 10-1023/X

Postal Subscription Code 80-968

2018 Impact Factor: 1.272

Front. Struct. Civ. Eng.    2022, Vol. 16 Issue (10) : 1315-1335    https://doi.org/10.1007/s11709-022-0853-x
RESEARCH ARTICLE
Development of mix design method based on statistical analysis of different factors for geopolymer concrete
Paramveer SINGH, Kanish KAPOOR()
Department of Civil Engineering, Dr B R Ambedkar National Institute of Technology, Jalandhar 144011, India
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Abstract

The present study proposes the mix design method of Fly Ash (FA) based geopolymer concrete using Response Surface Methodology (RSM). In this method, different factors, including binder content, alkali/binder ratio, NS/NH ratio (sodium silicate/sodium hydroxide), NH molarity, and water/solids ratio were considered for the mix design of geopolymer concrete. The 2D contour plots were used to setup the mix design method to achieve the target compressive strength. The proposed mix design method of geopolymer concrete is divided into three categories based on curing regime, specifically one ambient curing (25 °C) and two heat curing (60 and 90 °C). The proposed mix design method of geopolymer concrete was validated through experimentation of M30, M50, and M70 concrete mixes at all curing regimes. The observed experimental compressive strength results validate the mix design method by more than 90% of their target strength. Furthermore, the current study concluded that the required compressive strength can be achieved by varying any factor in the mix design. In addition, the factor analysis revealed that the NS/NH ratio significantly affects the compressive strength of geopolymer concrete.

Keywords geopolymer concrete      mix design      fly ash      response surface methodology      compressive strength      stress−strain     
Corresponding Author(s): Kanish KAPOOR   
Just Accepted Date: 15 September 2022   Online First Date: 02 December 2022    Issue Date: 29 December 2022
 Cite this article:   
Paramveer SINGH,Kanish KAPOOR. Development of mix design method based on statistical analysis of different factors for geopolymer concrete[J]. Front. Struct. Civ. Eng., 2022, 16(10): 1315-1335.
 URL:  
https://academic.hep.com.cn/fsce/EN/10.1007/s11709-022-0853-x
https://academic.hep.com.cn/fsce/EN/Y2022/V16/I10/1315
Fig.1  The entire procedure of response surface methodology (RSM) of present study.
factornameunitminimummaximumaveragestandard deviation
Abinder contentkg·m?3300500403.5846.62
BGGBS%04014.7118.92
CAl/binder?0.350.650.440.095
DNS/NH?1.503.502.360.37
ENHmol·L?181611.182.83
Fwater/solids?0.150.300.230.04
Gtemperature°C2510058.4323.12
Tab.1  Factor ranges used in the study for mix proportioning of geopolymer concrete
sourcesequential p-valuelack of fit p-valueR2adjusted R2predicted R2remarks
linear< 0.0001< 0.00010.420.400.36?
2FI< 0.00010.200.840.810.78?
quadratic0.0400.270.850.820.79suggested
cubic0.010.850.940.87?aliased
Tab.2  Initial summary of different statistical model
Fig.2  Predicted and actual compressive strength in (MPa) of the adopted model
sourcesum of squaresdfmean squareF-valuep-valueremarks
model35087.59221594.8940.01< 0.0001significant
A-Binder content198.161198.164.970.0272
B-GGBS %1484.4911484.4937.24< 0.0001
C-Al/binder499.671499.6712.530.0005
D-NS/NH2586.9912586.9964.90< 0.0001
E-NH277.971277.976.970.0091
F-water/solids1952.0811952.0848.97< 0.0001
G-Temperature719.371719.3718.05< 0.0001
AC823.011823.0120.65< 0.0001
AD658.841658.8416.53< 0.0001
AE879.061879.0622.05< 0.0001
AF298.371298.377.490.0070
BC155.511155.513.900.0501
BD1995.4911995.4950.06< 0.0001
BF132.811132.813.330.0699
BG286.151286.157.180.0082
CD182.361182.364.570.0340
CE4586.9914586.99115.07< 0.0001
DF2058.5812058.5851.64< 0.0001
EF2565.4712565.4764.36< 0.0001
B2183.071183.074.590.0337
C2226.361226.365.680.0184
G2600.031600.0315.050.0002
residual6058.9815239.86??
lack of fit4791.4611740.951.130.3463not significant
pure error1267.513536.21??
cor total41146.57174???
Tab.3  ANOVA test results for input variables for output results
sourceR2adjusted R2predicted R2standard deviation
quadratic model0.850.830.816.31
Tab.4  Model performance statistics
Fig.3  The 2D contour plots for 20, 30, and 40 MPa at ambient curing ?25 °C: (a) binder content vs Al/binder ratio; (b) Al/binder ratio vs NH molarity; (c) NH molarity vs NS/NH; (d) NH molarity vs water/solids ratio.
Fig.4  The 2D contour plots for 50, 60, and 70 MPa at ambient curing ?25 °C: (a) binder content vs Al/binder ratio; (b) Al/binder ratio vs NH molarity; (c) NH molarity vs NS/NH; (d) NH molarity vs water/solids ratio.
Fig.5  The 2D contour plots for 20, 30, and 40 MPa at heat curing ?60 °C: (a) binder content vs Al/binder ratio; (b) Al/binder ratio vs NH molarity; (c) NH molarity vs NS/NH; (d) NH molarity vs water/solids ratio.
Fig.6  The 2D contour plots for 50, 60, and 70 MPa at heat curing ?60 °C: (a) binder content vs Al/binder ratio; (b) Al/binder ratio vs NH molarity; (c) NH molarity vs NS/NH; (d) NH molarity vs water/solids ratio.
Fig.7  The 2D contour plots for 20, 30, and 40 MPa at heat curing ?90 °C: (a) binder content vs Al/binder ratio; (b) Al/binder ratio vs NH molarity; (c) NH molarity vs NS/NH; (d) NH molarity vs water/solids ratio.
Fig.8  The 2D contour plots for 50, 60, and 70 MPa at heat curing ?90 °C: (a) binder content vs Al/binder ratio; (b) Al/binder ratio vs NH molarity; (c) NH molarity vs NS/NH; (d) NH molarity vs water/solids ratio.
chemical compoundsFAGGBS
SiO254.5%33.1%
Al2O333.9%18.2%
Fe2O34.2%0.31%
CaO3.1%35.3%
MgO2.3%7.6%
loss of ignition1.3%0.26%
Tab.5  Chemical properties of FA and GGBS
propertyFAGGBS
specific gravity2.22.85
fineness (m2/kg)40253900
Tab.6  Physical properties of FA and GGBS
Fig.9  Particle distribution of coarse and fine aggregates used in the study.
factorsvalue
curing temperatureambient temperature (25 °C)
binder content420 kg·m?3
GGBS20%
Al/binder ratio0.46
NH molarity10 M
NS/NH ratio2.5
water/solid ratio0.250
Tab.7  Selected factors for mix design of M30 mix
propertyFAGGBSNHNScoarse aggregatesfine aggregates
specific gravity2.22.851.321.532.612.53
water absorption????0.5%1.5%
Tab.8  Physical properties of material used in mix design of geopolymer concrete
mixcuring regimetotal binder content (kg·m?3)GGBS (%)Al/binder ratioNH-molarity (mol·L?1)NS/NH ratiowater/solid ratio
M30ambient420200.46102.50.250
6042000.471030.255
9042000.501030.265
M50ambient470300.61220.275
60470100.561220.260
90470100.58122.20.275
M70ambient470400.49141.50.27
60470300.52141.80.245
90470200.51420.250
Tab.9  Mix design input variables selected from different contour graphs
mixcuring temperatureFAGGBSNHNSadditional watercoarse aggregatesfine aggregates
M3025 °C33610955.21389.535958735
60 °C420049.3514811.09949735
90 °C420052.5157.510.02928736
M5025 °C32918390.87181.73?791680
60 °C4236184.6169.2?822684
90 °C4236185.19187.411.24866762
M7025 °C28224492.12138.1821.26831654
60 °C32918387.29157.110.92840677
90 °C37612281.47162.934.06845670
Tab.10  Mix proportioning of geopolymer mixes in kg·m?3
Fig.10  Measured values of compressive strength at 7 d and 28 d of curing at 25, 60 and 90° C curing for: (a) M30, (b) M50, (c) M70, geopolymer concrete mix.
Fig.11  SEM images showing geopolymer reaction along with GGBS at (a) 7 d and (b) 28 d of ambient curing , formation of geopolymer matrix at (c) 7 d and (d) 28 d of 60° C heat curing, FA reaction (e) 7 d and (f) 28 d of 90° C heat curing
Fig.12  Stress?strain behavior of mix M30: (a) 25 °C, (b) 60 °C, (c) 90 °C; M50: (d) 25 °C, (e) 60 °C, (f) 90 °C; M70: (g) 25 °C, (h) 60 °C, (i) 90 °C at different curing regime.
Fig.13  Relation between experimental and predicted value of compressive strength at 28 d of curing at all curing regime.
factorcoefficient estimatestandard error
intercept51.922.7
A?5.053.56
B10.71.69
C30.065.66
D?63.288.16
E3.112.77
F?50.873.28
G9.581.92
AC?46.615.64
AD?14.35.49
AE?15.753.81
AF32.176.33
BC26.774.61
BD?50.187.1
BG?4.732.21
CE63.26.1
DF?57.98.78
EF?59.784.57
B23.971.94
C2?20.846.29
D2?9.23.79
G2?5.662.35
Tab.11  Coefficient estimates and standard error of input variables in form of coded factors
Fig.14  Coefficient estimate of input factors based on coded equation of compressive strength. A: binder content, B: GGBS%, C: Al/binder, D: NS/NH, E: NH molarity, F: water/solids, G: temperature.
Fig.15  Variation of input factors with respect to compressive strength for mix design method of geopolymer concrete.
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