Construction and Building Materials 73 (2014) 326–331
Contents lists available at ScienceDirect
Construction and Building Materials journal homepage: www.elsevier.com/locate/conbuildmat
Stress–strain behaviour of confined Geopolymer concrete N. Ganesan a,1, Ruby Abraham b, S. Deepa Raj b,⇑, Divya Sasi b a b
Department of Civil Engineering, National Institute of Technology Calicut (NITC), Kerala, India Department of Civil Engineering, College of Engineering Trivandrum (CET), Kerala, India
h i g h l i g h t s Studied the behaviour of PCC and GPC specimens. Stress–strain behaviour in uniaxial compression was studied. Effect of confinement on the stress–strain behaviour of GPC and PCC were studied. Proposed an analytical model for the stress–strain behaviour of confined GPC.
a r t i c l e
i n f o
Article history: Received 20 April 2014 Received in revised form 29 August 2014 Accepted 24 September 2014
Keywords: Geopolymer Fly ash Alkali-activated cement Confinement
a b s t r a c t Fly ash based Geopolymer concrete (GPC) is an environment friendly alternative to conventional concrete made from alkali activated aluminosilicate and aggregate. This study intends to examine the effects of confinement on the behaviour of GPC and conventional Portland Cement Concrete (PCC). Out of the 36 cylinders tested under monotonic loading 24 cylinders were made with GPC and the remaining with PCC. The variable considered in this study is the volumetric ratio of confinement. An analytical model is proposed for the stress–strain behaviour of confined GPC. The results showed that confinement reinforcement greatly improved the strength and ductility of GPC than PCC. Ó 2014 Elsevier Ltd. All rights reserved.
1. Introduction An important ingredient in conventional Portland Cement Concrete (PCC) is Ordinary Portland Cement (OPC). The production of cement is increasing by about 3% annually. The process of cement production is highly energy intensive and releases large volume of greenhouse gases like CO2 [1]. Thus the cement industry is responsible for some of the greenhouse gas emissions into the atmosphere. In this respect, geopolymer technology introduced by Davidovits provides an alternative low emission binding agent to PCC [2]. Geopolymers are inorganic aluminosilicates produced by alkali activation of materials of geological origin such as kaolin or bentonite or byproduct materials such as fly ash or rice husk ash. Thus Geopolymer concrete (GPC) is obtained by alkali activation of industrial waste materials such as fly ash in the presence of ⇑ Corresponding author. Tel.: +91 04712539280. E-mail addresses:
[email protected],
[email protected] (N. Ganesan),
[email protected] (R. Abraham),
[email protected] (S. Deepa Raj),
[email protected] (D. Sasi). 1 Tel.: +91 04952286204. http://dx.doi.org/10.1016/j.conbuildmat.2014.09.092 0950-0618/Ó 2014 Elsevier Ltd. All rights reserved.
sodium hydroxide and sodium silicate solution, which is a polymerization process that differs widely from Portland cement hydration [3]. Thus the source material (fly ash), alkaline solution and aggregates constitute the main components of Geopolymer concrete (GPC). The properties of GPC include high early strength, low shrinkage, excellent freeze–thaw resistance, sulphate resistance and corrosion resistance [2,4]. Confinement is an important factor which affects the behaviour of concrete. Since sectional strength and ductility depend on the stress–strain characteristics of concrete they are also influenced by the confinement of the members. The properties of confined concrete have been extensively studied in the past [5,6]. Confinement increases the compressive strength and the capacity of concrete to sustain large deformations without substantial loss of strength. From the literature review, it is found that the stress–strain behaviour varies considerably depending on the type of concrete and the confinement. Although information on the confinement of normal concrete is available in literature, the effect of confinement on GPC has been only scantly investigated. This study has attempted to obtain experimentally the stress–strain curve of confined GPC and develop analytical models for the same.
327
N. Ganesan et al. / Construction and Building Materials 73 (2014) 326–331 2. Experimental investigation 2.1. Materials and mix proportions Fly ash (ASTM Class F) was used as the main source material for synthesizing the geopolymer binder. Coarse aggregate of 20 mm nominal size was used for making GPC and PCC. Locally available river sand conforming to zone II as per IS: 3831970 was used as fine aggregate. A combination of sodium silicate solution and sodium hydroxide (NaOH) solution was chosen as the alkaline liquid to activate the source material. Commercially available sodium silicate solution with SiO2– to-Na2O ratio by mass of 2 (Na2O = 14.7%, SiO2 = 29.4%) and water = 55.9% by mass were used for the study. A naphthalene based superplasticiser was also used to improve the workability of GPC. Ordinary Portland cement of 53 grade was used for preparing PCC. HYSD bars of 6 mm diameter and 360 N/mm2 yield strength were used for making spiral reinforcement cages of 90 mm diameter. The pitch of the spirals used were 75 mm, 50 mm and 25 mm (volumetric ratios 1.36%, 2.05% and 4.1%). The GPC and PCC specimens were designated as GPCP1, GPCP2, GPCP3 and PCCP1, PCCP2, PCCP3 corresponding to pitches of 75 mm, 50 mm, 25 mm respectively. GPCP0 and PCCP0 represents unconfined GPC and PCC specimens. Since there are no codal recommendations available for the mix design of GPC, different trial mixtures of GPC were prepared as per the guidelines given in the literature [7]. For the trial mixes, the alkaline activator to fly ash ratio, amount of extra water, superplasticiser content, fine aggregate to total aggregate ratio, molarity of NaOH, mixing time and curing temperature were considered as variables. The final mix proportion for M30 grade GPC was selected based on the 28th day compressive strength and a workability giving compacting factor of 0.9. PCC mix of the same grade was also prepared as per IS: 10262 [8] and the details are given in Table 1. 2.2. Preparation of test specimens Coarse aggregates and sand in the saturated surface dry condition were first mixed in laboratory mixer with fly ash for about three minutes. Then alkaline solution, super plasticizer and extra water were added to the dry materials and were mixed for four minutes. The GPC resembles PCC in its appearance. Immediately after mixing, the slump and compacting factor of fresh concrete were measured to observe the consistency of the mixture. Cubes of 150 mm, prisms of 100 mm 100 mm 500 mm, cylinders of 150 mm diameter and 300 mm height were prepared for determining the compressive strength, modulus of rupture and splitting tensile strength respectively. For finding the stress–strain behaviour cast-iron moulds of 150 mm diameter and 300 mm height were fabricated. Special provision was provided in the mould to insert the plates for fixing the LVDTs so that the core strain could be measured accurately [9]. The test set-up is shown in Fig. 1. The plates were inserted in such a way that the gauge points were symmetrical about the centre of the specimen and the gauge length was 100 mm. After casting, all GPC specimens were kept at room temperature for one day. The GPC specimens were then placed inside the oven along with moulds and cured at 60 °C for 24 h. After curing, the specimens were removed from the chamber and left to air-dry at room temperature for another 24 h before demoulding. The test specimens were then left in the laboratory ambient conditions till the day of testing. PCC specimens were also prepared and kept immersed in water for 28 days after one day of casting. Six GPC and three PCC specimens for each volumetric ratio of confinement were cast. 2.3. Testing After 28 days of casting, the specimens were tested for cube compressive strength, flexural tensile strength, splitting tensile strength and modulus of elasticity. The stress–strain behaviour was determined by carrying out tests on cylindrical specimens. The 5 mm LVDTs having least count of 0.001 mm were used. The specimens were placed in a compression testing machine of 3000 kN capacity and tested under uni-axial compression. The loading arrangement is shown in Fig. 2. The LVDTs were attached to the plates on opposite sides of the specimen and parallel to the longitudinal axis. The LVDT readings were taken at equal increments of 250 N load.
3. Results and discussions 3.1. Fresh and hardened properties The fresh and hardened properties of all the mixes are shown in Table 2. From the table it can be seen that the strength develop-
Fig. 1. Test set-up.
ment in GPC is faster than in PCC. This may be attributed to the fast polymerization process due to heat curing. In the case of GPC the splitting tensile strength increased by approximately 13%, whilst the flexural strength increased by 12%. This is probably due to the geopolymer paste present in GPC which provides better bonding between the fine and coarse aggregate than that of cement paste in PCC. The studies conducted by Frantisek et al. [10] have shown that the interfacial transition zone which is considered as the weakest part in ordinary concrete is not found between geopolymer and aggregate and the absence of such a layer contributes to the superior mechanical properties of GPC. The modulus of elasticity increased by 50% for GPC compared to PCC. 3.2. Stress–strain behaviour The stress–strain curves of GPC and PCC specimens with various percentages of spiral confinement are shown in Fig. 3. From figure, it can be seen that the stress–strain behaviour is almost similar for both GPC and PCC. However GPC mixes have shown improved stress values for the same strain levels compared to that of PCC in the unconfined state. At the initial stage, the deformation of GPC specimens increases at a slower rate than that of PCC. This trend continued up to about 80% of the peak stress. The increase in deformation was faster in GPC. This may be due to the development of large number of micro cracks in the geopolymer paste near the peak stress point as noted by other researchers [4,10]. Since the plain GPC specimens (GPCP0) had a brittle failure, the descending branch of stress–strain curve could not be determined in any of these specimens. But the behaviour of confined specimens was comparatively ductile than unconfined specimens. The behaviour of all unconfined specimens in the ascending branch up to the peak stress is similar. This is due to the fact that in the case of confined concrete at low levels of stress the transverse reinforcement is hardly stressed; hence the concrete is unconfined. The concrete becomes confined at stresses approaching the uniaxial strength [11]. The confinement considerably improved the stress–strain characteristics of GPC at higher strain levels. The stress–strain curves were analyzed to obtain the effect of confinement on the strength and ductility of GPC.
Table 1 Mix Proportions. Mix
Cement (kg/m3)
Fly ash (kg/m3)
Sodium silicate solution (kg/m3)
Sodium hydroxide solution (kg/m3)
CA (kg/m3)
FA (kg/m3)
Water (kg/m3)
SP (kg/m3)
GPC PCC
– 426
408 –
103 –
41 –
1294 1266
554 598
14.5 192
10.2 0
328
N. Ganesan et al. / Construction and Building Materials 73 (2014) 326–331
3.2.2. Behaviour of specimens In the case of GPC specimens with low values of volumetric ratio of confinement both cover and core concrete were found to have spallen (GPCP1). On the other hand as the volumetric ratio of confinement increases the core concrete was found to be intact even after spalling of cover concrete (GPCP2, GPCP3). Fig. 4 shows the tested specimens. 3.3. Stress–strain model In order to develop an analytical model for the stress–strain behaviour of confined GPC, the test results were compared with the available models for confined PCC. Most of the models were able to estimate correctly the ascending part of the stress–strain curve. But there were wide variations in the descending portion of the stress–strain curve. The model proposed by Mander et al. [12] gives a better representation of the stress–strain behaviour of confined GPC. It adopted the 3-parameter equation proposed by Popovics to describe the entire stress–strain curve of confined concrete and is given below.
Fig. 2. Loading arrangement.
3.2.1. Strength enhancement Strength enhancement, which is the ratio of the peak stress of confined concrete to the peak stress of unconfined concrete is shown in Table 3. The strength increased by 22%, 60% and 110% when the volumetric ratio of transverse steel was 1.36%, 2.05% and 4.10% respectively for both GPC and PCC. Strain ductility ratio, which is the ratio of axial strain of confined concrete at 85% of the peak stress on the descending branch to the strain of unconfined concrete corresponding to peak stress [9], indicates the deformability of confined concrete. The strain ductility ratio was determined and is given in Table 3. The ratio of the strain at peak stress of confined concrete to the strain at peak stress of unconfined concrete known as strain enhancement, which is also a measure of the ductility was calculated and is given in Table 3. It can be observed that the strain ductility ratio varied as 3.09, 7.14 and 11.43 and strain enhancement varied as 1.47, 3.28 and 4.71 with increase in the volumetric ratio of confinement indicating an increase in the ductility of GPC with increase in the transverse confinement.
ec ecc r fc ¼ r r 1 þ eeccc f cc
ð1Þ
where, fc , fcc, ec, ecc are the stress at any point, peak stress, strain at any point and strain corresponding to peak stress respectively and r is the curve fitting factor. In Mander’s model, the expression for ‘r’ is given as,
r¼
EC EC Esec
ð2Þ
where Ec is the modulus of elasticity of concrete and the parameter Esec is given by Eq. (3).
Esec ¼
f cc
ð3Þ
ecc
Table 2 Fresh and hardened properties of GPC and PCC mixes.
GPC PCC
Slump (mm)
123 93
Compacting factor
0.90 0.89
Compressive strength (N/mm2) 7th day
28th day
32.0 23.3
38.55 39.00
Splitting tensile strength (N/mm2)
Flexural strength (N/mm2)
Modulus of elasticity (N/mm2)
3.56 3.15
4.46 3.79
39,992 26,678
60 50
Stress (N/mm2)
Mix
40 GPCP0 GPCP1 GPCP2 GPCP3 PCCP0 PCCP1 PCCP2 PCCP3
30 20 10 0 0
0.005
0.01
0.015
0.02
0.025
0.03
Strain Fig. 3. Stress–strain curve for GPC specimens.
0.035
0.04
0.045
329
N. Ganesan et al. / Construction and Building Materials 73 (2014) 326–331 Table 3 Effect of confinement on strength and ductility. Specimen ID
Peak stress (N/mm2)
Strength enhancement
Strain at peak stress
Strain enhancement
Strain ductility ratio
GPCP0 PCCP0 GPCP1 PCCP1 GPCP2 PCCP2 GPCP3 PCCP3
25.48 24.06 31.14 29.72 41.05 39.63 53.79 51.96
1.0 1.0 1.2 1.2 1.6 1.6 2.1 2.2
0.0021 0.0020 0.0031 0.0027 0.0069 0.0066 0.0099 0.0102
1.00 1.00 1.47 1.35 3.28 3.05 4.71 4.55
1.00 1.00 3.09 2.25 7.14 5.00 11.43 8.50
Table 4 Curve fitting factors.
(a) GPCP1
(b) GPCP2
(c) GPCP3
Fig. 4. Tested specimens.
Fig. 5 shows the stress–strain curves obtained from the experiment for confined GPC and the curves obtained by using Mander’s model. From figure it can be observed that Mander’s equation did not match satisfactorily with the test results of GPC. Mander’s model required a modification when applied to GPC. An attempt has been made to modify the curve fitting factor ‘r’ present in the Mander’s model by regression analysis using MAT LAB. Table 4 shows the values ‘r’ thus modified for various values of pitch of confinement. Figs. 5 and 6 show the comparison of experimental stress–strain curves with Mander’s model and modified Mander’s model for GPC specimens. From these figures it may be noted that the modified Mander’s model matches satisfactorily with the experimental results.
Pitch of confinement (mm)
Volumetric ratio of confinement (%)
r values Mander’s model
Modified values
0 75 50 25
0.00 1.36 2.05 4.10
1.00 1.35 1.18 1.17
1.62 1.52 1.46 1.34
3.3.1. Equation for the modified parameter ‘r’ An attempt has been made to derive an equation for the parameter ‘r’ in the case of GPC as follows. The normalized lateral confining pressure developed as a result of confinement gives the confinement index [13]:
Confinement index ðkÞ ¼
2f l 0 fc
ð4Þ
where fl is the lateral pressure and f0 c is the compressive strength of unconfined specimen. From the free body diagram of spirally reinforced concrete as shown in Fig. 7, the lateral pressure
fl ffi
2As f y dS
ð5Þ
where As, fy, S are the section area, yield strength and pitch of the confining reinforcement respectively and d is the diameter of the confined core. The volumetric ratio of confining reinforcement
Fig. 5. Comparison of experimental values with Mander’s model.
330
N. Ganesan et al. / Construction and Building Materials 73 (2014) 326–331
Fig. 6. Comparison of experimental values with modified Mander’s model.
4. Conclusions From the present study the following conclusions were obtained.
Fig. 7. The relation between lateral pressure and confining force.
A pd 4A q ¼ ps 2 ¼ s 4
d S
dS
ð6Þ
Substituting q in Eq. (5), the following equation for lateral pressure is obtained:
fl ¼
qf y 2
ð7Þ
Therefore, confinement index,
k¼
qf y 0
fc
ð8Þ
To obtain a generalized equation for the curve fitting factor (r), a regression analysis is performed among ‘r’, ‘k’ and ‘Ec’ and equation for the curve fitting factor thus obtained is given below.
r¼
Ec Ec þ 8888k 1:62
ð9Þ
where Ec is the modulus of elasticity of Geopolymer concrete given as follows [14].
qffiffiffiffiffiffi Ec ¼ 6965 f ck
ð10Þ
where fck is the characteristic compressive strength of GPC. Thus, the stress–strain behaviour of spirally confined GPC specimens can be represented by the following model
ec ecc r fc ¼ r r 1 þ eeccc f cc
The strength development of GPC is faster than that of PCC in the initial stages. Confined GPC appears to be suitable for earthquake resistant design since the spiral confinement improves the strength, strain at peak stress, strain ductility ratio and energy absorption capacity of GPC. The strength of GPC increased by 20% to 110% when the volumetric ratio of confinement was increased from 1.36% to 4.10%. The strain ductility ratio and energy absorption capacity of GPC increased by 11.4 and 5.4 times respectively compared to unconfined GPC at 4.1% volume of transverse steel. The stress–strain model proposed by Mander et al. for PCC with confinement can be used for GPC with a modification in the curve fitting factor.
ð11Þ
as given by Mander et al. with modified equation of ‘r’ given by Eq. (9).
Acknowledgements The authors would like to thank Centre for Engineering Research and Development (CERD) and Kerala State Council for Science Technology and Environment (KSCSTE) for providing financial assistance to this work.
References [1] Rajamane NP, Nataraja MC, Lakshmanan N. An introduction to geopolymer concrete. Indian Concr J 2011:25–8. [2] Bakharev T. Durability of geopolymer materials in sodium and magnesium sulfate solutions. Cem Concr Res 2005;35:1233–46. [3] Ganesan N, Indira PV, Santhakumar Anjana. Prediction of ultimate strength of reinforced geopolymer concrete wall panels in one-way action. Constr Build Mater 2013;48:91–7. [4] Duxson Peter, Provis John L, Lukey Grant C, van Deventer Jannie SJ. The role of inorganic polymer technology in the development of green concrete. Cem Concr Res 2007;37:1590–7. [5] Ahmad SH, Shah SP. Stress–strain curves of concrete confined by spiral reinforcement. ACI J 1982;79:484–90.
N. Ganesan et al. / Construction and Building Materials 73 (2014) 326–331 [6] Braga Franco, Gigliotti Rosario, Laterza Michelangelo, Amato Michele D’. An analytical formulation of stress block parameters of confined concrete. Open Constr Build Technol J 2008;2:156–65. [7] Rangan BV. Studies on low-calcium fly ash based geopolymer concrete. Indian Concr J 2006:9–17. [8] Indian standard code of practice for recommended guidelines for concrete mix design. IS: 10262-2009. Delhi: Bureau of Indian Standards. [9] Ganesan N, Indira PV, Ruby Abraham. Compressive constitutive behaviour of SFRHPC subjected to cyclic loading. In: The tenth East Asia-Pacific conference on structural engineering and construction, Bangkok, Thailand; 2006. [10] Frantisek S, Lubomir K, Jiri N, Zdenek B. Microstructure of geopolymer materials based on fly ash. Ceram-Silik 2006;50:208–15.
331
[11] Park R, Paulay T. Reinforced concrete structures. 4th ed. New York: Wiley Interscience Publication; 1974. [12] Mander BJ, Priestley JNM, Park R. Theoretical stress–strain model for confined concrete. ASCE J Struct Eng 1988;144(8):1804–26. [13] Moghaddam H, Samadi M, Mohebbi S. On the effect of external active confinement on spirally reinforced concrete columns. In: The 14th world conference on earthquake engineering, Beijing, China; 2008. [14] Sasi Divya, Deepa Raj S, Abraham Ruby. Evaluation of Mechanical Properties of Geopolymer Concrete. In: National Conference on Technological Trends. Thiruvananthapuram (Kerala): College of Engineering Trivandrum; 2013.