mechanical properties of hydraulic lime mortars · hydraulic lime mortars do so through a...

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1 Mechanical Properties of Hydraulic Lime Mortars Geoffrey C Allen Richard J Ball University of Bristol University of Bristol Interface Analysis Centre Interface Analysis Centre UK UK [email protected] [email protected] Abstract: The effect of dewatering, time dependent deformation under load and wetting and drying of NHL3.5 natural hydraulic lime mortar has been investigated. Both dewatering and wetting and drying cycles were found to increase mortar strength by enhanced carbonation. An apparatus was constructed to measure the dimensional changes over a period of 180 days. The rate of deformation during the first two weeks of sample monitoring was proportional to the applied load. A logarithmic creep expression of the form ε = A ln (t) + B gave the best fit to the data where, ε is strain, t is time and A and B are constants. A linear relationship was found between the coefficient A and applied load. Keywords: Lime mortar, dewatering, wetting and drying, creep. 1. INTRODUCTION Greater environmental awareness of the advantages of lime mortars in terms of carbon dioxide emissions released during manufacture and the adsorption of carbon dioxide during carbonation is promoting their use. A number of different limes are available for building, differing by their strength and chemistry [1-4]. Fat limes harden by carbonation but hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced by burning a mixture of naturally occurring argillaceous limestone or chalk has been used. For hydraulic mortars, the initial hydration reaction results in the formation of a calcium-silicate-hydrate (C-S-H) structure, which provides an initial set [4-6]. Subsequently the remaining bulk calcium hydroxide then reacts with atmospheric carbon dioxide. The increase in volume associated with carbonation fills surface pores and cracks, reducing the number of diffusion paths and restricting the diffusion of carbon dioxide to greater depths [7]. In thick-walled structures this can result in the mortar located at the centre of the wall remaining un-carbonated for many years.

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Page 1: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

1

Mechanical Properties of Hydraulic Lime Mortars

Geoffrey C Allen Richard J Ball

University of Bristol University of Bristol

Interface Analysis Centre Interface Analysis Centre

UK UK

[email protected] [email protected]

Abstract: The effect of dewatering, time dependent deformation under load and wetting

and drying of NHL3.5 natural hydraulic lime mortar has been investigated. Both dewatering

and wetting and drying cycles were found to increase mortar strength by enhanced

carbonation. An apparatus was constructed to measure the dimensional changes over a

period of 180 days. The rate of deformation during the first two weeks of sample

monitoring was proportional to the applied load. A logarithmic creep expression of the form

ε = A ln (t) + B gave the best fit to the data where, ε is strain, t is time and A and B are

constants. A linear relationship was found between the coefficient A and applied load.

Keywords: Lime mortar, dewatering, wetting and drying, creep.

1. INTRODUCTION

Greater environmental awareness of the advantages of lime mortars in terms of carbon

dioxide emissions released during manufacture and the adsorption of carbon dioxide during

carbonation is promoting their use. A number of different limes are available for building,

differing by their strength and chemistry [1-4]. Fat limes harden by carbonation but

hydraulic lime mortars do so through a combination of hydration and carbonation. In this

study natural hydraulic lime (NHL), produced by burning a mixture of naturally occurring

argillaceous limestone or chalk has been used. For hydraulic mortars, the initial hydration

reaction results in the formation of a calcium-silicate-hydrate (C-S-H) structure, which

provides an initial set [4-6]. Subsequently the remaining bulk calcium hydroxide then reacts

with atmospheric carbon dioxide. The increase in volume associated with carbonation fills

surface pores and cracks, reducing the number of diffusion paths and restricting the

diffusion of carbon dioxide to greater depths [7]. In thick-walled structures this can result in

the mortar located at the centre of the wall remaining un-carbonated for many years.

Page 2: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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If the mortar is fully carbonated, dissolution and re-precipitation of calcium carbonate by the

movement of moisture through the structure may also contribute to strength [8]. These

mechanisms are commonly associated with autogenous healing.

Here we report studies of the mechanical behaviour of lime mortars in construction. The

role of the masonry in extracting water from the mortar depends on its porosity [9-10].

Measurements of the change in resistivity of the mortar with time have been carried out

using impedance spectroscopy to monitor the dewatering process. Dimensional changes of

mortar within a structure, over time, will lead to changes in the magnitude and direction of

forces both within the mortar and masonry units. Measurement of creep and shrinkage in

lime mortars allow the significance of deformation to be determined in a building context.

In practice, it is not possible to determine how wetting and drying affect the strength of a

mortar joint on site. Repeated dampening by spraying is often used as a method of

protecting mortar however there is no simple rule to determine whether an appropriate

number of cycles have been undertaken. If the mortar or render dries too rapidly binding

properties of the lime are lost and the mortar is likely to fail. In an attempt to verify the

most appropriate procedures a NHL3.5 hydraulic lime mortar was exposed to wetting and

drying cycles to simulate the effect of climatic changes.

2. EXPERIMENTAL METHOD 2.1 Raw materials and sample mix designs Natural hydraulic lime mortars of classification 3.5 were prepared using a single source, UK

sand from Croxden, Staffordshire with average particle size 0.5mm. Energy dispersive x-

ray analysis indicated the presence of silicon, aluminium, potassium oxygen, iron, titanium

and calcium in order of decreasing signal intensity, (see figure 1).

OAl

Si

KCa Ti Fe Fe

0 1 2 3 4 5 6 7 8

keV

Counts

Figure 1. Energy dispersive x-ray analysis from the surface of a Croxden sand grain

showing the elemental composition.

The raw materials were stirred for 10 minutes using sufficient water to provide a mix flow

between 180-200mm. The mould was coated with release oil prior to casting cylinders 18

mm in diameter and 36 mm in length. These samples were of suitable dimensions for

dewatering, wetting and drying, creep and compressive testing. To reduce the presence of

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air pockets within the specimens and to ensure an even distribution of lime mix within the

mould, each mould was half filled and vibrated for 1 minute before filling to just below the

top and continuing vibration for a further 1 minute. To ease extraction of the specimens, the

mould had a removable bottom and was split along the specimen length. After one day, the

bottom of the mould was removed.

2.2 Compressive testing The compressive strength of the mixes was determined using a Zwick/Rowell testing

machine. Each specimen was mounted between two parallel stainless steel platens. The top

platen was allowed to pivot on a ball joint to accommodate specimen surface irregularities.

Loading was applied at a constant stress rate of 0.079 Nmm-2

s-1

until the ultimate value was

reached. The loading of each sample was determined by its compressive strength.

2.3 Dewatering Mortar samples were dewatered by inverting the cylindrical moulds to allow the mortar to

contact a high sorptivity brick substrate. A time of 15 minutes was allowed for dewatering,

substantially more than that recorded in practice. Dewatered and non-dewatered mortar

specimens were exposed to atmospheres containing either pure nitrogen or nitrogen

containing 400 ppm carbon dioxide. Under both gas compositions the relative humidity and

temperature was maintained at 65% and 20oC respectively. Samples were removed for

mechanical testing at 14, 28 and 56 days.

2.4 Wetting and drying A specially designed wetting and drying chamber was used to condition the samples. This

consisted of a spraying device capable of saturating the samples within 60 seconds. Two

fans, positioned to suck air through the chamber, dried the samples over a period of several

hours. Both spraying and drying operations were electronically controlled wetting for 10

minutes and drying for 20 hours, repeatedly for the duration of exposure within the

chamber. Natural hydraulic lime mortars were manufactured with mix ratios 1:1, 1:2, 1:3

and 1:4 (lime:sand) and examined after 28, 56, 90 and 180 days exposure [11].

Figure 2. Creep rig used to monitor shrinkage and creep

Page 4: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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2.5 Deformation and shrinkage A creep rig containing eight individual locations for simultaneous sample monitoring was

constructed as shown in Figure 2. Displacements were logged using a PC interfaced with

Solartron Metrology linear displacement transducers via an Orbit Measurement System to

an accuracy of 50 nm. Readings were recorded at intervals of 10 s. Following an initial

post-mixing period of 7 days, samples were inserted into the creep rig. Creep loads of 0, 0,

108, 108, 162, 162, 225 and 234N were applied to 8 samples respectively [12-14].

2.6 Scanning electron microscopy The structure of the mortar was characterised using SEM and the elemental composition of

the sand by EDX after coating with a layer of gold for 180 seconds in an Edwards sputter

coater. Examination was carried out in a Hitachi S-2300 SEM using a secondary electron

detector. Energy dispersive x-ray analysis was performed using an Oxford Instruments

detector and electronics with Thomson Scientific WinEDX software.

2.7 Impedance measurements The application of impedance spectroscopy to cementitious systems is well documented

[15]. The impedance response of the wet mix was monitored using a Solartron 1260

impedance analyser over the frequency range from 10 MHz - 100 Hz. Each sweep between

these frequencies contained 5 steps per decade and were carried out at a potential of 100

mV. 200 sweeps each lasting 70 seconds were repeated continuously over a time period of

225 minutes. The test cell [16] was constructed using two rectangular stainless steel

electrodes 25 mm by 30 mm spaced 25 mm apart. These were positioned in a square section

tube of the same dimensions as the brick prism to allow unidirectional flow of liquid

between the wet mix and substrate. The electrodes were positioned 15 mm above the brick

surface.

3. RESULTS 3.1 The dewatering process The dewatering process was monitored in real time using impedance spectroscopy. The

measured resistivity was plotted against time and the slope of the line corresponded to water

movement into the absorbent substrate (see figure 3). The change in slope was considered to

be a consequence of the formation of silicate crystals at the mortar/substrate interface, as

shown in figure 4. Figure 5 shows the average compressive strengths of both non-dewatered

and dewatered mortars at 14, 28 and 56 days of curing in 100% N2 and N2 containing 400

ppm CO2. The results presented show that, for NHL3.5, the failure stress increased when the

mortars were cured in the environment containing 400 ppm carbon dioxide. Previous results

indicated that 28 days was a sufficient period for the carbonation process to have initiated

throughout the entire volume of the sample [8]. The NHL3.5 lime mortars showed a clear

increase in strength at all curing times for dewatered mortar over the non-dewatered

equivalent.

Page 5: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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Figure 3. Plot of resistivity versus time for NHL3.5 mortar on a porous brick substrate

indicated transition from aborption into the brick to drying.

Figure 4. SEM image showing silicate formation on the surface of a brick substrate

following dewatering of a wet mix [9]

Time

Free water

Physically bound

water

Adsorption into brick DryingTransition

Linear

Linear

Intersection

Resistivity

Page 6: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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0

1

2

3

4

5

6

0 10 20 30 40 50 60 70Curing time, days

Failure strength, MPa

NDNHL3.5:Water:Sand (1:0.78:2)

(Cured to 100% N2)

DNHL3.5:Water:Sand (1:0.78:2)

(Cured to 100% N2)

NDNHL3.5:Water:Sand (1:0.78:2)

(Cured to 400ppm CO2)

DNHL3.5:Water:Sand (1:0.78:2)

(Cured to 400ppm CO2)

Figure 5. Compressive strength of dewatered and non-dewatered mortar versus time after

curing in pure N2 and N2 containing 400ppm CO2. NHL3.5, (ND= Non-dewatered, D=

Dewatered)

3.2 Effect of wetting and drying on strength For each mix the most dramatic increase in strength was observed within the first 28 days

following 33 wetting and drying cycles. The average strength (28 – 180 day) of the cycled

mortar in comparison to an un-cycled control, for each of the mix ratios tested, is shown in

figure 7 [11].

3.3 Time related deformation of NHL3.5 The deformation of 1:2 NHL3.5 to sand mortar was monitored over a period of 180 days.

During the initial 14 day period there was a large change after which the rate of deformation

was observed to reach a steady value. Figure 6 shows a plot of creep rate against time

calculated by subtracting the averaged rate of deformation of the unloaded samples from

that of the samples loaded to 225 and 234N [12].

0

0.05

0.1

0.15

0.2

0.25

0 50 100 150 200

Time, days

Creep rate [x-10-3] strain per day

Page 7: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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Figure 6. Plot of creep rate against time calculated by subtracting the averaged rate of

deformation of the unloaded samples from that of the samples loaded to 225 and 234N.

4. DISCUSSION During the life cycle of a lime mortar a number of significant processes occur. First

amongst these is the rapid process of dewatering when the mortar is placed upon porous

masonry. Climate changes in humidity and temperature may then play a part in the rate of

the stiffening process and subsequent changes in physical and chemical structure.

Figure 5 shows the average compressive strengths of both non-dewatered and dewatered

mortars at 14, 28 and 56 days of curing in 100% N2 and N2 containing 400 ppm CO2. The

results presented show that, for all mixes, the failure stress increased when the mortars cured

in the environment containing 400 ppm carbon dioxide. Furthermore, the strength increased

with curing time, as well as with binder hydraulicity.

0

2

4

6

8

1:1 1:2 1:3 1:4Lime mortar mix ratio, lime:sand

Compressive strength, MPa

Control

Cycled

Figure 7. Enhanced development of compressive strength resulting from wetting and drying

of natural hydraulic mortars of mix ratio 1:1, 1:2, 1:3 and 1:4 (lime:sand) over a period of

28–180 days.

Previous results indicate that 28 days is sufficient for the carbonation process to have

initiated throughout the entire volume of the sample [8]. The hydraulic lime mortar showed

a clear increase in strength at all curing times for dewatered mortar over the non-dewatered

equivalent.

The process of wetting and drying of a lime mortar may also significantly influence its

compressive strength. The magnitude of this effect was determined by a study of NHL3.5

mortars subjected to alternate cycles of wetting and drying, figure 7 [11]. Much of the

increase in strength was found to occur during the initial 28 days of exposure. The

Page 8: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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observations from this study were consistent with a mechanism for sample strength increase

which relies on the transport of water through the structure. Hydraulic lime mortars harden

by the combined effect of hydration and carbonation. The hydration reaction is rapid and

involves the formation of a silicate phase.

2Ca2SiO4 + 4H2O → Ca3Si2O7.3H2O + Ca(OH)2 (1)

Concurrently with hydration, and over a longer period, carbonation of calcium hydroxide

also occurs.

Silicate phases were most readily identified in cycled samples compared to the equivalent

control batch. This suggested that the cycling regime encouraged hydration and

consequently an increase in strength.

The observation of silicates within pores of the cycled samples suggested that dissolution

and re-precipitation of these phases occurred during each cycle [8]. At the same time the

optimum conditions for carbonation prevail [17,18]. Here this is illustrated in figure 8 a to

c. Figure 8a represents the pores in a dry mortar, diffusion of carbon dioxide can occur but

there will be insufficient water present to promote carbonation. During wetting the sample

first absorbs water and then becomes saturated as shown in figure 11b. Water now blocks

the pores and the diffusion rate of carbon dioxide is approximately 10,000 times slower than

that in air, thus the rate of carbonation is low [11]. During the drying process the pore water

gradually evaporates. At a critical point the pores will contain a thin film of water and

allow the diffusion of carbon dioxide. This critical point also occurs during the initial

process of wetting and absorption. These are the optimum conditions for carbonation, figure

11c. The formation of silicates within the structure is also expected to limit the water

permeability which may reduce the rate of carbonation. The results reported in this paper

provide evidence that the process of wetting and drying influences both reactions.

(a) (b) (c)

○Gas, ●Lime matrix, ●Water, → diffusion path of CO2

Figure 8. Schematic representation of porosity in lime mortar cross section showing: a) free

flow of carbon dioxide into pores; b) saturated pores completely filled with water; c) pores

coated in a thin layer of water.

Page 9: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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The creep measurements show that the process of deformation of a NHL3.5 1:2 mortar over

a period of 180 days can be divided into a number of stages, figure 9 [19]. During the first

stage, a very high rate of deformation occurred within two days of loading. This was

believed to be associated with bedding-in of the sample as asperities on the sample surface

were flattened by the smooth loading platens. Following the initial bedding-in period a

deformation in the form of two essentially linear stages identified as primary and secondary

creep was observed [20,21].

Time, days

Strain

Strain at loading, Bedding in

Stage I, strain due to

shrinkage and creep

Stage II, strain due

to shrinkage

x

Secondary creep Tertiary creep

Primary

creep

Failure

Behaviour not

observed in lime

140

Figure 9. General form of strain-time curve for material subject to deformation [19].

Attempts have been made to apply a mathematical expression to describe the data in this

study. The highest correlation coefficients of 0.96 to 0.97 were obtained from the

logarithmic equation (1) where ε is creep strain, t is time and A and B are coefficients.

Values of A and B for logarithmic equations fitted to each of the mortar specimens tested is

given in Table 1.

BtA += lnε (2)

Here A may be related to the degree of carbonation and B is a physical property of the

mortar.

Creep is defined as the time dependent deformation of a specimen under load therefore the

difference between the strain rates in the loaded and unloaded samples represents the creep

rate. This is illustrated in figure 9. However the creep rate was observed to decrease rapidly

with time during stage I, and was essentially zero during stage II suggesting that the

deformation exhibited during the latter stage is due to a shrinkage process.

Page 10: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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Table 1 Coefficients A and B from exponential equations fitted to creep/shrinkage data

Load, N Load as percentage

of 7 day strength

Coefficients from logarithmic equation

A B

0 0 -0.1409 0.085

0 0 -0.145 0.0409

108 27.1 -0.2568 0.0863

108 27.1 -0.2623 0.0103

162 40.6 -0.2974 0.0005

162 40.6 -0.298 -0.0306

225 56.4 -0.3708 -0.0528

234 58.7 -0.2959 0.0404

5. CONCLUSIONS The following conclusions have been drawn:

1. Dewatering results in a dramatic increase in strength of the hydraulic mortars when

comparisons were made at 14, 28 and 56 days with non-dewatered equivalent samples.

2. It is suggested that dewatering of mortars prepared with hydraulic binders increases the

rate of crystallisation of hydrated silicate phases within the matrix, influencing the

mechanical strength.

3. Wetting and drying increases the compressive strength of natural hydraulic lime

mortars of classifications 3.5 by increasing the rate of hydration and carbonation.

4. Time dependent deformation was observed in NHL3.5 lime mortars attributed to a load

dependent creep mechanism and a shrinkage mechanism which is independent of load.

The load dependent creep component was most significant during the first fourteen days

of stiffening.

5. A logarithmic creep expression of the form ε = A ln (t) + B gave the best fit to the data,

where ε is strain, t is time and A and B are constants. A linear relationship was found

between the coefficient A and applied load suggesting that this constant is load

dependent.

5.1 Acknowledgements The authors would like to thank Hydraulic Lias Limes and Hanson Cement for supplying

the raw materials and sample manufacture.

Page 11: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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5.2 References [1] Holmes, S.; Wingate, M., Building with Lime, a practical introduction (revised edition),

London, ITDG Publishing, 2002.

[2] Degryse, P.; Elsen, J.; Waelkens, M. Study of ancient mortars from Salassos (Turkey) in

view of their conservation, Cement and Concrete Research, 2002, 32, 1457-1563.

[3] Callebaut, K.; Elsen, J.; Van Balen, K.; Viaene, W. Nineteenth century hydraulic

restoration mortars in the Saint Michael's Church (Leuven, Belgium): Natural hydraulic

lime or cement?, Cement and Concrete Research, 2001, 31, 3, 397-403.

[4] Allen, G.C.; Allen, J.; Elton, N.; Farey, M.; Holmes, S.; Livesey, P.; Radonjic, M.

Hydraulic lime mortars for stone, brick and block masonry, Donhead Publishing,

Shaftesbury, Dorset, 2003.

[5] Radonjic, M.; Allen, G.; Livesey, P.; Elton, N.; Farey, M.; Holmes, S.; Allen, J. ESEM

Characterisation of ancient lime mortars, Journal of the Building Limes Forum, 2001, 8,

38-49.

[6] Lanas, J.; Perez Bernal, J.L.; Bello, M.A.; Alvarez, J.L. Mechanical properties of

natural hydraulic lime-based mortars, Cement and Concrete Research, 2004, 34, 12, 2191-

2201.

[7] Thomson, M. Properties of lime mortar, understanding the nature of lime-sand mortars,

Structure Magazine, May 2005, 26-29.

[8] El-Turki, A., Ball, R.J.; Allen, G.C. Simulated aging of lime mortars - A mechanical

property, structural and compositional study, In Proceedings of Heritage, Weathering and

Conservation (HWC-2006) Conference, Madrid, Spain (Fort R., Alvarez de Buergo M.,

Gomez-Heras M. and Vazequez-c. (eds)). Taylor & Francis, London, 2006, 1, 51-56.

[9] El-Turki, A.; Ball, R. J.; Carter, M.A.; Wilson, M.A.; Allen, G.C. Effect of Dewatering

on the strength of lime and cement mortars 2009, J. Am. Ceram. Soc. Submitted for

publication.

[10] Ince, C.; Carter, M.A.; Wilson, M.A.; El-Turki, A.; Ball, R.J.; Allen, G.C.; Collier,

N.C. Analysis of the abstraction of water from freshly mixed jointing mortars in mason

construction, Materials and Structures, 2009, DOI10/1617S11527-009-9560-5.

[11] El-Turki, A.; Ball, R.J.; Holmes, S.; Allen, G.C. Environmental cycling and laboratory

testing to evaluate the significance of moisture control for lime mortars, 2009, Const. and

Build. Mat. Submitted for publication.

[12] Ball, R.J.; El-Turki, A.; Allen, W.J.; Nicholson, J. Allen, G.C. Deformation of NHL3.5

and CL90/PC hybrid mortars, Construction Materials. Proc. Inst. Civil Eng., 2009, 162

(CM1) 29-35.

[13] Ball, R.J.; Allen, G.C. Load dependent deformation and shrinkage in hydraulic lime

mortars, International Journal of Sustainable Engineering, 2009, In press,.

[14] Ball, R.J., El-Turki, A.; Allen, W.J.; Allen, G.C. The stress cycling of hydraulic lime

mortars, Construction Materials, Proceedings of the Institute of Civil Engineers, 2007, 2,

57-63.

[15] Christensen, B.J.; Tate Coverdale, R.; Olson, R.A.; Ford, S.J.; Garboczi, E.J.; Jennings,

H.M.; Mason, T.O. Impedance spectroscopy of hydrating cement-based materials:

measurement, interpretation and application, J. Am. Ceram. Soc., 1994, 2789-2804.

[16] Ball, R.J.; Allen, G.C. The measurement of water transport in porous materials using

impedance spectroscopy, 2010, J. Phys. D, In press.

[17 ] Van Balen, K.; Van Gemert, D. Modelling lime mortar carbonation, Materials and.

Structures, 1994, 27393-98.

Page 12: Mechanical Properties of Hydraulic Lime Mortars · hydraulic lime mortars do so through a combination of hydration and carbonation. In this study natural hydraulic lime (NHL), produced

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[18 ] Van Balen, K. Carbonation reaction of lime, kinetics at ambient temperature, Cement

and Concrete Research 2005, 35, 647-57.

[19] Anderson, J.C.; Leaver, K.D.; Rawlings, R.D. Alexander, J.M. Materials Science

(fourth edition) Chapman and Hall, London, 1990.

[20] Mindess, S.; Young, J.F. Concrete, Prentice-Hall, Inc., Englewood Cliffs, 1981, N. J.

07632, ISBN 0-13-167106-5,.

[21] Neville, A.M. Creep of concrete: plain, reinforced, and prestressed, North-Holland

Publishing Company - Amsterdam, 1970, ISBN:0444100431.