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31 st Cement <strong>and</strong> Concrete Science Conference Paper Number 27<br />

Novel Developments <strong>and</strong> Innovation in Cementitious Materials<br />

12-13 September 2011<br />

Imperial College London, United Kingdom<br />

<strong>Dimensional</strong> <strong>stability</strong> <strong>of</strong> <strong>calcium</strong> <strong>aluminate</strong> <strong>and</strong> sulfo<strong>aluminate</strong><br />

systems<br />

ABSTRACT<br />

Julien Bizzozero, Christophe Gosselin, Karen Scrivener<br />

Laboratory <strong>of</strong> construction materials, Swiss Federal Institute <strong>of</strong> Technology Lausanne (<strong>EPFL</strong>)<br />

The aim <strong>of</strong> this study is to underst<strong>and</strong> the dimensional <strong>stability</strong> <strong>of</strong> two expansive systems based on <strong>calcium</strong><br />

<strong>aluminate</strong> cement (CAC) <strong>and</strong> <strong>calcium</strong> sulfo<strong>aluminate</strong> cement (CSA). These alternative cements are<br />

interesting for their performances <strong>and</strong> the lower CO2 emissions related to the manufacturing process.<br />

Expansive <strong>and</strong> non-expansive compositions have been selected as a function <strong>of</strong> gypsum content for both<br />

systems in order to compare the hydration kinetics, the microstructure <strong>and</strong> the dimensional <strong>stability</strong>. There is<br />

a substantial difference in the expansion <strong>of</strong> the CAC <strong>and</strong> CSA systems when gypsum is added. The CSA<br />

system has faster hydration reactions, a finer microstructure <strong>and</strong> the magnitude <strong>of</strong> expansion is lower. The<br />

critical amount <strong>of</strong> <strong>calcium</strong> sulfate leading to high expansion has been optimized. However, the microstructure<br />

(studied by XRD, TGA, SEM, MIP) between the low expansion <strong>and</strong> the high expansion system remains<br />

comparable in terms <strong>of</strong> phases quantities. The only difference is the distribution <strong>of</strong> ettringite <strong>and</strong> aluminium<br />

hydroxide much more finely intermixed in the CSA systems. The difference in the magnitude <strong>of</strong> expansion<br />

could be explained by the crystallization pressure <strong>of</strong> ettringite <strong>and</strong> the supersaturation <strong>of</strong> the solution in the<br />

nanopores formed few hours after the hydration <strong>of</strong> these cements.<br />

1. INTRODUCTION<br />

The use <strong>of</strong> alternative cements such as CAC <strong>and</strong><br />

CSA is motivated by the sustainable concerns<br />

related to the CO2 emissions <strong>of</strong> the cement<br />

production <strong>and</strong> the development <strong>of</strong> concretes <strong>and</strong><br />

formulated binders adapted to specific<br />

applications. When gypsum is added to CAC, the<br />

hydration patterns become closer to those<br />

developed in plain CSA. However the present<br />

study aims to demonstrate the fundamental<br />

differences between the CAC <strong>and</strong> CSA system<br />

when different amounts <strong>of</strong> gypsum are added.<br />

In cements containing <strong>calcium</strong> sulfates <strong>and</strong><br />

<strong>aluminate</strong> phases, like CA, C4A3$ <strong>and</strong> C3A,<br />

expansion can occur. Expansion is an important<br />

property for applications where the permeability<br />

<strong>and</strong> the crack development must be minimized.<br />

One field <strong>of</strong> application <strong>of</strong> these binders is the floor<br />

levelling. In these conditions the binder is exposed<br />

to high surfaces compared to a really small<br />

thickness. The drying shrinkage is here one <strong>of</strong> the<br />

main causes <strong>of</strong> crack formation. For this reason<br />

dimensional <strong>stability</strong> in this field is a priority.<br />

However, if the expansion is too high, there can be<br />

crack formation <strong>and</strong> even complete deterioration <strong>of</strong><br />

the cementitious sample. This expansion is usually<br />

related to ettringite formation, which leads to<br />

crystallization pressures that will cause expansion<br />

<strong>of</strong> the cement paste, mortar or concrete.<br />

Expansion exists in different forms <strong>and</strong> is a<br />

relevant durability issue. For this reason it is<br />

1<br />

important to underst<strong>and</strong> the main causes <strong>of</strong> this<br />

phenomenon.<br />

The objectives <strong>of</strong> this study are:<br />

To find the expansion pr<strong>of</strong>ile in function <strong>of</strong><br />

gypsum addition for CAC <strong>and</strong> CSA<br />

systems with the analysis <strong>of</strong> different<br />

compositions.<br />

To analyse the reaction kinetics <strong>of</strong> the<br />

different systems in order to evaluate the<br />

effect <strong>of</strong> gypsum addition.<br />

To study the microstructure <strong>and</strong> the phase<br />

evolution.<br />

To underst<strong>and</strong> the mechanisms <strong>of</strong><br />

expansion.<br />

2. Expansion theories<br />

The expansive behaviour <strong>of</strong> expansive cements<br />

has been studied during the past decades. Here<br />

three different theories will be discussed: the<br />

crystal growth theory presented by (Cohen, 1983),<br />

the swelling theory presented by (Mehta, 1973)<br />

<strong>and</strong> finally the crystallization pressure theory<br />

discussed by (Scherer, 2002, 2004).<br />

In the crystal growth theory, expansive particles<br />

(i.e. CSA grains <strong>and</strong> CAC grains) act as a<br />

nucleation site for ettringite. Expansion is due to<br />

the growth <strong>of</strong> ettringite crystals from the surfaces <strong>of</strong><br />

the expansive particles, in other words there is a<br />

solid state formation <strong>of</strong> ettringite. This generates<br />

crystallization pressure <strong>and</strong> subsequent expansive


force. The expansive particles are covered by a<br />

dense coating <strong>of</strong> ettringite whose further hydration<br />

will increase the thickness <strong>of</strong> the coating layer<br />

(Figure 1). When the thickness <strong>of</strong> the ettringite<br />

layer exceeds that <strong>of</strong> the solution, the particles will<br />

be in contact <strong>and</strong> exert pressure against the<br />

others. This leads to expansion. This expansion<br />

will persist until the gypsum or the expansive<br />

particles will be depleted.<br />

Figure 1. Ettringite coating around an expansive<br />

particle (CSA cement grain) (Cohen, 1983)<br />

In the swelling theory, the expansion is due to the<br />

water adsorption or swelling <strong>of</strong> ettringite which is<br />

formed by a through-solution mechanism, i.e. by<br />

the hydrates precipitation into the pore solution.<br />

This leads to ettringite formation into the bulk,<br />

away from the anhydrous particles. Water<br />

adsorption is possible because ettringite is<br />

microcrystalline (has a colloidal size). The<br />

formation <strong>of</strong> this type <strong>of</strong> ettringite occurs only if<br />

<strong>calcium</strong> hydroxide (CH) is present in the solution. If<br />

<strong>calcium</strong> hydroxide is absent, ettringite crystals will<br />

be larger <strong>and</strong> swelling will not occur.<br />

Scherer studied the expansion with a<br />

thermodynamic approach <strong>and</strong> developed the<br />

crystallization pressure theory. In porous materials,<br />

cement paste, mortar, concrete <strong>and</strong> stone, there<br />

can be a damage caused by the precipitation <strong>of</strong><br />

crystals from the liquid present in the pores. When<br />

the supersaturation level <strong>of</strong> a given salt in the<br />

liquid is reached, there is a precipitation <strong>of</strong> this salt.<br />

Supersaturation depends on the concentration, on<br />

the temperature <strong>and</strong> on the size <strong>of</strong> the pores. So a<br />

crystal growing in a pore will encounter the pore<br />

wall <strong>and</strong> exert pressure on it (Scherer, 2004).<br />

When a crystal is surrounded by a film <strong>of</strong> solution<br />

<strong>and</strong> there are small pores, high stresses appear.<br />

High crystallization pressures require a high<br />

supersaturation <strong>of</strong> the pore solution.<br />

Supersaturation is given by the ratio between the<br />

Ion Activity Product (IAP) <strong>and</strong> the solubility product<br />

(Ksp) <strong>of</strong> the given phase. The species forming<br />

ettringite are:<br />

6 2 4 3 26 <br />

→ .3 .26 <br />

The resulting IAP for this phase is:<br />

IAP=<br />

. . . . <br />

And the solubility product <strong>of</strong> ettringite is given by<br />

(Warren <strong>and</strong> Reardon,1994):<br />

2<br />

10 . for AFt<br />

A crystal in a supersaturated solution will grow until<br />

the supersaturation will be consumed (IAP = Ksp).<br />

Its growth produces a pressure on the pore walls<br />

given by the Correns’ equation (2) (Correns, 1949):<br />

<br />

<br />

<br />

<br />

(2)<br />

Where R=8.314 J/K/mol is the gas constant, T is<br />

the absolute temperature, vm is the molar volume<br />

<strong>of</strong> the crystal (for ettringite vm = 707 cm 3 /mol).<br />

3. Materials<br />

3.1 CAC+C$H2 systems<br />

The hydration <strong>of</strong> CAC systems with <strong>calcium</strong> sulfate<br />

leads to the formation <strong>of</strong> ettringite <strong>and</strong> amorphous<br />

aluminium hydroxide, see reaction (1). For this<br />

study, gypsum (G) will be used <strong>and</strong> the respective<br />

reaction is (2).<br />

3CA+3C$Hx+(38-3x)HC3A.3C$.H32+2AH3 (1)<br />

3CA +3C$H2+32HC3A.3C$.H32+2AH3<br />

(2)<br />

The <strong>calcium</strong> <strong>aluminate</strong> cement (CAC) used for this<br />

project was supplied by Kerneos in France.<br />

These compositions were measured by XRD <strong>and</strong><br />

quantified by the Rietveld refinement.<br />

Table 1. Mineralogical composition <strong>of</strong> CAC cement<br />

Anhydrous phase Cement notation [%wt]<br />

Calcium <strong>aluminate</strong> CA 70<br />

Gehlenite C2AS 20<br />

Ferrites C3FT ~10<br />

Perovskite CT<br />

Spinel MgAl2O4<br />

3.2 CSA+C$H2 systems<br />

The main reaction occurring in CSA systems is<br />

between the ye’elimite phase (C4A3$) <strong>and</strong> <strong>calcium</strong><br />

sulfate. This reaction (3) leads to the formation <strong>of</strong><br />

ettringite <strong>and</strong> amorphous aluminium hydroxide.<br />

C4A3$+2C$H2+34HC3A.3C$.H32+2AH3<br />

(3)<br />

The <strong>calcium</strong> sulfo<strong>aluminate</strong> cement (CSA) used for<br />

this project was supplied by Buzzi Unicem SPA in<br />

Italy.<br />

Table 2. Mineralogical composition <strong>of</strong> CSA cement<br />

Anhydrous phase Cement notation [%wt]<br />

Ye’elimite C4A3$ 50<br />

Belite -C2A 20<br />

Anhydrite + Gypsum C$ + C$H2 22<br />

Calcite C<br />

Aluminates C3A<br />

Brownmillerite C4AF


4. Methods<br />

All the experiments were carried out at 20°C.<br />

Cement pastes were prepared with water/binder<br />

ratio <strong>of</strong> 0.4.<br />

All the mixes were prepared under the same<br />

conditions. Additional gypsum (if present in the<br />

mix) was added in water. Then cement was added<br />

<strong>and</strong> mixed for 2 minutes using a paddle mixer<br />

(1100rpm).<br />

For expansion tests, the cement paste was cast in<br />

special steel moulds <strong>of</strong> 1x1x4 cm 3 . The samples<br />

were then cured for one day at high humidity<br />

environment <strong>and</strong> demoulded after 24 hours. The<br />

first measure <strong>of</strong> the length (~4 cm) was done with<br />

an extensometer having a precision <strong>of</strong> ±1μm. The<br />

samples were conserved into demineralized water.<br />

Hydration kinetics were studied by isothermal<br />

calorimetry with a TAM Air (3114/3236) from<br />

Thermometric.<br />

For SEM, XRD <strong>and</strong> MIP the samples were cast in<br />

polystyrene cylinders <strong>of</strong> 30mm <strong>of</strong> diameter <strong>and</strong><br />

50mm high. After 24hours they were demoulded<br />

<strong>and</strong> placed in recipients containing demineralized<br />

water. For each age <strong>of</strong> curing (1,3,7,14 <strong>and</strong> 28<br />

days) three slices were cut from the cylinders <strong>and</strong><br />

then introduced into isopropanol to stop hydration.<br />

X-ray diffraction (XRD) analysis were done with a<br />

Philips X’Pert Pro PANalytical (CuKα, λ=1. 54 Å)<br />

working in Bragg-Brentano geometry with a 2θrange<br />

<strong>of</strong> 5°-65°.<br />

Scanning electron microscopy (SEM) was done<br />

using a FEI Quanta 200 with an electric beam<br />

generated by a tungsten (W) filament submitted to<br />

a tension <strong>of</strong> 15 kV. The cement paste samples<br />

were impregnated with epoxy resin under vacuum<br />

conditions in order to fill the open porosity with the<br />

resin <strong>and</strong> after were polished <strong>and</strong> coated with<br />

carbon.<br />

Mercury intrusion porosimetry (MIP) was done on a<br />

Porotec machine with pressure capacity <strong>of</strong> 400<br />

MPa. Massive samples <strong>of</strong> about 1.5 grams were<br />

used for the analysis.<br />

Pore solution analyses were done on cylindrical<br />

samples <strong>of</strong> 5cm diameter <strong>and</strong> 10cm high. The<br />

cement paste was casted in plastic bottles <strong>of</strong> the<br />

same size <strong>and</strong> stored for 24hour is sealed<br />

conditions. After the samples were cured for 6 days<br />

under a reduced amount <strong>of</strong> water <strong>and</strong> finally tested<br />

after 7 days <strong>of</strong> hydration. The applied pressure<br />

was 560MPa in order to extract 10ml <strong>of</strong> pore<br />

solution. The cations were analysed with ICP-OES<br />

<strong>and</strong> the anions with ion chromatography.<br />

3<br />

5. Results<br />

5.1 Expansion tests<br />

Figure 2 shows the expansion in function <strong>of</strong> the<br />

time for different compositions <strong>of</strong> CAC with<br />

gypsum. The number on the right <strong>of</strong> the system<br />

name (e.g. B-G1.0) is the molar ratio between C$<br />

<strong>and</strong> CA. With the increase <strong>of</strong> the <strong>calcium</strong> sulfate<br />

content there is an increase in expansion. For a C$<br />

content below 0.7 the expansion seems to be<br />

really low <strong>and</strong> above this ratio the expansion<br />

continues on over time.<br />

Figure 3 shows the expansion for the systems with<br />

CSA <strong>and</strong> gypsum. Here again the expansion<br />

increases with the <strong>calcium</strong> sulfate content <strong>and</strong><br />

there is a critical behaviour. The composition with<br />

the higher amount <strong>of</strong> gypsum broke after 4 days.<br />

There is not a s<strong>of</strong>t transition between low <strong>and</strong> high<br />

expansion for CSA systems. The range <strong>of</strong><br />

expansion <strong>of</strong> these systems is lower than for CAC<br />

systems.<br />

Expansion [%]<br />

Expansion [%]<br />

5.0%<br />

4.0%<br />

3.0%<br />

2.0%<br />

1.0%<br />

0.0%<br />

0 50 100 150<br />

Time [days]<br />

2.0%<br />

1.5%<br />

1.0%<br />

0.5%<br />

crack threshold<br />

B‐G1.2<br />

B‐G1.1<br />

B‐G1.0<br />

B‐G0.92<br />

B‐G0.85<br />

B‐G0.82<br />

B‐G0.67<br />

B‐G0.54<br />

B‐G0.43<br />

B‐G0.25<br />

Figure 2. Expansion <strong>of</strong> CAC with gypsum.<br />

4 days: sample broken<br />

crack threshold<br />

0.0%<br />

0 50 100 150<br />

Time [days]<br />

B‐G0_ref<br />

C‐G1.0<br />

C‐G0.96<br />

C‐G0.92<br />

C‐G0.82<br />

C‐G0.75<br />

C‐G0.70<br />

C‐G0.56<br />

C‐G0.54<br />

C‐G0.5<br />

Figure 3. Expansion <strong>of</strong> CSA with gypsum.<br />

High expansion<br />

Low expansion<br />

High expansion<br />

Low expansion


5.2 Isothermal calorimetry<br />

Isothermal calorimetry is useful to measure the<br />

hydration kinetics <strong>of</strong> the different systems. Figure 4<br />

<strong>and</strong> Figure 5 show that CSA systems have faster<br />

kinetics than CAC systems. Both systems show a<br />

similar behavior: the second peak is delayed when<br />

the gypsum content increases.<br />

Normalized heat flow [mW/g <strong>of</strong> binder]<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

B‐G‐0.25<br />

B‐G0.67<br />

B‐G0.82<br />

B‐G0.92<br />

B‐G1.1<br />

0<br />

0 10 20<br />

Time [h]<br />

30 40<br />

Figure 4. Hydration kinetics <strong>of</strong> CAC with gypsum.<br />

Normalized heat flow [mW/g <strong>of</strong> binder]<br />

35<br />

30<br />

25<br />

20<br />

15<br />

10<br />

5<br />

C‐G0.5_ref<br />

C‐G0.54<br />

C‐G0.56<br />

C‐G0.92<br />

C‐G1.0<br />

0<br />

0 10 20<br />

Time [h]<br />

30 40<br />

Figure 5. Hydration kinetics <strong>of</strong> CSA with gypsum.<br />

5.3 XRD analysis <strong>of</strong> CAC systems<br />

For XRD results <strong>and</strong> SEM results only the CAC<br />

systems are presented in this paper. During the<br />

presentation both CAC <strong>and</strong> CSA systems will be<br />

compared <strong>and</strong> discussed.<br />

Figure 6 <strong>and</strong> Figure 7 show the consumption <strong>of</strong> the<br />

anhydrous phases, CA <strong>and</strong> gypsum, <strong>and</strong> the<br />

formation <strong>of</strong> ettringite on the left axis. On the right<br />

axis the expansion is presented. There is more<br />

ettringite precipitation in the high expansion<br />

system. For the high expansion system it is<br />

important to note that when ettringite formation<br />

reaches a plateau, the expansion continues on<br />

with the time. For CSA systems the behavior is<br />

similar.<br />

4<br />

Intensity [cts]<br />

Intensity [cts]<br />

4.E+07<br />

3.E+07<br />

2.E+07<br />

1.E+07<br />

0.8%<br />

0.7%<br />

0.6%<br />

0.5%<br />

0.4%<br />

0.3%<br />

0.2%<br />

0.1%<br />

0.E+00<br />

0.0%<br />

0 10 20 30<br />

Time [days]<br />

40 50 60<br />

4.E+07<br />

3.E+07<br />

2.E+07<br />

1.E+07<br />

Expansion [%]<br />

CA<br />

Gypsum<br />

Ettringite<br />

Expansion<br />

Figure 6. Low expansion system (B-G0.67).<br />

0.8%<br />

0.7%<br />

0.6%<br />

0.5%<br />

0.4%<br />

0.3%<br />

0.2%<br />

0.1%<br />

0.E+00<br />

0.0%<br />

0 10 20 30<br />

Time [days]<br />

40 50 60<br />

Expansion [%]<br />

CA<br />

Gypsum<br />

Ettringite<br />

Expansion<br />

Figure 7. High expansion system (B-G0.82).<br />

5.4 SEM BSE images <strong>of</strong> CAC systems<br />

Figure 8 <strong>and</strong> Figure 9 show the microstructure <strong>of</strong><br />

low expansive <strong>and</strong> high expansive CAC systems<br />

respectively. The two main hydrates, ettringite <strong>and</strong><br />

amorphous aluminium hydroxide can be easily<br />

distinguished. Ettringite is light grey <strong>and</strong> AHx is<br />

dark grey in the hydrated matrix. The cracks are<br />

mainly due to the sample preparation technique.<br />

There is no substantial difference between the low<br />

expansive <strong>and</strong> the high expansive system.<br />

However there is a difference between CAC <strong>and</strong><br />

CSA systems, the hydrates are more intermixed in<br />

CSA systems so it is more difficult to distinguish<br />

them.<br />

B-G0.67<br />

Figure 8. Low expansion system (B-G0.67).<br />

B-G0.82<br />

Figure 9. High expansion system (B-G0.82).


5.5 MIP, comparison <strong>of</strong> CAC with CSA systems<br />

Figure 10 shows the cumulative pore size<br />

distribution <strong>of</strong> the 4 studied systems. CAC systems<br />

have a bigger cumulative porosity than CSA<br />

systems. The pore size distribution is comparable<br />

for all the systems with a pore size <strong>of</strong> the<br />

nanometric range (around 4 nm).<br />

Porosity [%]<br />

25<br />

20<br />

15<br />

10<br />

5<br />

14 days<br />

0<br />

0.001 0.01 0.1 1 10 100<br />

Pore Radius [µm]<br />

CAC systems<br />

CSA systems<br />

B‐G0.67<br />

B‐G0.82<br />

C‐G0.92<br />

C‐G1.0<br />

LE<br />

HE<br />

LE<br />

HE<br />

Figure 10. Cumulative pore size distribution <strong>of</strong> CAC<br />

<strong>and</strong> CSA systems.<br />

5.6 Pore solution analysis<br />

Figure 11 shows that with the increase <strong>of</strong> gypsum<br />

content there is a strong increase <strong>of</strong> the<br />

supersaturation which leads to an increase in the<br />

crystallization pressure at 7 days <strong>of</strong> hydration.<br />

There is a threshold <strong>of</strong> crystallization pressure at<br />

around 70 MPa above which there is uncontrolled<br />

<strong>and</strong> high expansion.<br />

Ettringite saturation index [‐]<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

CAC+Gypsum<br />

CSA+Gypsum<br />

7days<br />

0 0.2 0.4 0.6 0.8 1<br />

C$/CA [mol/mol]<br />

Figure 11. Supersaturation <strong>of</strong> ettringite in function <strong>of</strong><br />

the gypsum content.<br />

6.0 Discussion<br />

The previous results show that there is no<br />

substantial difference between low expansive <strong>and</strong><br />

high expansive systems in the phase assemblage,<br />

in the microstructure <strong>and</strong> in the pore size<br />

distribution. However, the supersaturation index <strong>of</strong><br />

ettringite indicates a difference between the low<br />

expansion <strong>and</strong> high expansion systems.<br />

90<br />

80<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

Crystallization pressure [MPa]<br />

5<br />

With the presented results it is possible to discuss<br />

the different expansion theories. The crystal growth<br />

theory seems to not apply to these systems<br />

because there are no expansive particles <strong>and</strong> the<br />

ettringite is formed through-solution. The swelling<br />

theory seems also to be not so accurate because<br />

in the studied systems there is expansion even if<br />

no lime is present.<br />

Finally the crystallization pressure theory seems to<br />

be in accordance with the present results because<br />

with an increase <strong>of</strong> the supersaturation index <strong>of</strong><br />

ettringite, which is the expansive phase, there is an<br />

increase in expansion. It has to be noted that not<br />

all the ettringite participate to the expansion. Only<br />

a fraction <strong>of</strong> it does. Moreover the ettringite has to<br />

form in a confined space to cause expansion<br />

(pores <strong>of</strong> nanometric size).<br />

7.0 Conclusions<br />

There is a threshold between low <strong>and</strong> high<br />

expansion at C$/CA molar ratio <strong>of</strong> 0.7 (40 to 50<br />

%mol <strong>of</strong> C$).<br />

There is a comparable behaviour for CAC <strong>and</strong><br />

CSA systems.<br />

There is no noticeable difference in hydrates<br />

content, microstructure <strong>and</strong> porosity between<br />

low expansion <strong>and</strong> high expansion systems.<br />

There is a higher supersaturation in the high<br />

expansion systems, which causes high<br />

crystallization pressures.<br />

8.0 References<br />

Cohen, M.D.,1983. Theories <strong>of</strong> Expansion in<br />

Sulfo<strong>aluminate</strong>-Type Expansive Cements -<br />

Schools <strong>of</strong> Thought. Cement <strong>and</strong> Concrete<br />

Research, 13(6):809-818.<br />

Cohen, M.D.,1983. Modeling <strong>of</strong> Expansive<br />

Cements. Cement <strong>and</strong> Concrete Research,<br />

13(4):519-528.<br />

Mehta P.K. ,1973. Mechanism <strong>of</strong> expansion<br />

associated with ettringite formation, Cement <strong>and</strong><br />

Concrete Research, 3(1):1-6.<br />

Scherer, G.W.,2002 Factors affecting crystallization<br />

pressure. In Internal Sulfate Attack <strong>and</strong> Delayed<br />

Ettringite Formation (K.L. Scrivener <strong>and</strong> J.P.<br />

Skalny, eds.),RILEM:Villars, Switzerl<strong>and</strong>,139-<br />

153.<br />

Scherer, G.W.,2004. Stress from crystallization <strong>of</strong><br />

salt. Cement <strong>and</strong> Concrete Research,<br />

34(9):1613-1624.<br />

Warren, C.J. <strong>and</strong> Reardon, E.J.,1994. The<br />

solubility <strong>of</strong> ettringite at 25°C. Cement <strong>and</strong><br />

Concrete Research,24(8):1515-1524.<br />

Correns, C.W.,1949. Growth <strong>and</strong> Dissolution <strong>of</strong><br />

Crystals under Linear Pressure. Discussions <strong>of</strong><br />

the Faraday Society, (5):267-271.

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