Journal of Applied Mathematics and Physics, 2014, 2, 843-847
Published Online August 2014 in SciRes. http://www.scirp.org/journal/jamp
http://dx.doi.o rg/10.4236/jamp.2014.29094
How to cite this paper: Zhang, X.Z., Zhang, G.D., Zhang, Y. and Zhou, Z.H. (2014) Influence of Silica Fume on the Reflectivity
and Transmission Efficiency of Cement-Based Materials. Journal of Applied Mathematics and Physics, 2, 843-847.
http://dx.doi.org/10.4236/jamp.2014.29094
Influence of Silica Fume on the Reflectivity
and Transmission Efficiency of
Cement-Based Materials
Xiuzhi Zhang1*, Guodong Zhan g1, Yu Zhang2, Zonghu i Zhou1
1University of Jinan, Jinan, China
2Norinco Group Institute, Jin a n, China
Email: *mse_zhangxz@ujn.edu.cn, zhanggd@163.com, i53zhangyu@163.com, mse_zhouzh@ujn.edu.cn
Received 28 May 2014
Abstract
As a kind of mineral admixture, silica fume has low p ermittivi ty, which will affect the electr omag-
netic prop e rties of cement-based materials. To study the effect of silica fume on the properties of
cement-based materials, the reflectivity, transmission efficiency and pore structure were an aly zed
by using the vector network analyzer and mercury injection apparatus. Results show that silica
fume can make the mortar more compact and the p oro sity of sample with 9% silica fume is only
17.8%, which is far lower than the control sample; With the increase of the silica fume content, the
peak of reflectivity curve increases from 23.2 dB to 16.0 dB, and then decreases from 16.04 dB
to 28.7 dB in the frequency range of 618 GHz. Reflectivi ty of sample with 3% content of silica
fume is lower than other samples within 26.5 - 40 GHz; Transmission efficiency of samples shows
the trend of increase with silica fume content increases from 0% to 6% within 8.2 - 12.4 GHz, 12 -
18 GHz and 26.5 - 40 GHz, but when the content increases from 6% to 9%, the transmission effi-
ciency of samples reduces.
Keywords
Silica Fume, Cement-Based Materials, Reflectivi ty, Transmission Efficiency
1. Introduction
The development of radar technology makes many military facilities easy to be found and destroyed. Stealth
performance of military facilities built by using building materials with the performance of low reflectivity or
high transmission efficiency can be improved.
Silica fume is a by-product in the process of melting metallic silicon or ferrosilicon alloys. Silica fume par-
ticles are very fine; most of particles size is less than 1 μm, and the average particles size is about 0.1 μm, which
is 1/100 of the cement particles diameter [1] [2]. Silica fume has been widely used in the production of cement
concrete, especially high strength concrete (HSC) and high performance concrete (HPC). Because of pozzolanic
*
Corresponding author.
X. Z. Zhang et al.
844
reaction and high fineness, silica fume can make cement-based materials denser and improve their mechanical
property and durability [3].
On the other hand, silica fume containing a lot of the amorphous silica owns low permittivity and loss tangent
values. Therefore, compared with cement, silica fume has more excellent wave-transparent performance. So it
can be used to adjust electromagnetic properties of cement based materials [4]. Tan [5] found that electromag-
netic shielding of cement based materials was increased after adding silica fume. Zhang [6] used silica fume to
improve impedance matching between cement based absorbing materials and free space. Compared with the
single-layer structure, the reflectivity of the double-layer decreased by 6 - 8 dB. Although above-mentio ne d re-
searches referred to applications of silica fume in cement-based shielding and absorbing materials, influence of
silica fume on the reflectivity and transmission efficiency of cement-based materials has not been studied. So
cement based materials mixed with silica fume was prepared, and their properties were tested and analyzed
combined with its micro structure in this study.
2. Experimental Programs
2.1. Raw Materials
In this study, P.O 42.5 with 7.3 MPa flexural strength and 46.2 MPa compressive strength at 28 d was used. Its
chemical compositions are shown in Table 1. Chemical compositions of silica fume with 0.2 μm average par-
ticles size and 25,000 m2/kg specific surface areas are shown in Table 1. In addition, polycarboxylate superplas-
ticizer produced by Shandong Academy of Building Research and standard sand produced by China ISO Stan-
dard Sand Co., LTD. was also used in this study.
2.2. Sample Preparation
The cementitious materials/sand/water ratio by weight of mortar was selected as 1:3:0.5, and superplastiser was
used by cement mass 1.0%. Firstly, the water and polycarboxylate superplasticizer were poured into a mixer,
and then cement and silica fume were added. The mixture was slowly stirred for one minute, followed by rapid
stirring for 30 s before sand was added. After resting for 90 s, the mixture was rapidly stirred for another 60 s.
After completing the mixing, mortar was poured into models and vibrated to remove bubbles. The size of the
specimens is 180 mm × 180 mm × 10 mm. Then samples were put into standard curing box and specimens were
removed from their models 24 h later. Samp les were cured for 28 days at 20˚C ± 2˚C and 95% relative humidity.
2.3. Test Method
PNA E8363B vector network analyzer produced by Agilent Technologies was used to test reflectivity of speci-
mens by using the method of RCS (Radar Cross-Section). The measurement was carried out in the frequency
ranges of 6 - 18 GHz and 26.5 - 40 GHz; the measurement of transmission efficiency was carried out in the fre-
quency ranges of 8 - 12.4 GHz, 12.4 - 18 GHz and 26.5 - 40 GHz; PM60GT-18 mercury intrusion porosimeter
produced by QUANTATECH was used to test pore structure.
3. Results and Discussion
3.1. Effect of Silica Fume on the Pore Structure
Figure 1 shows the pore size distribution of specimens with different content of silica fume.
In Figure 1(a), pore size distribution of ordinary mortar is mainly less than 0.1 μm and pore size distribution
of ordinary mortar greater than 0.1 μm is almost zero. In Figur es 3(b)-(d), except for specimens with 6% con-
tent of silica fume, pore smaller than 0.1 μm of other specimens reduces significantly after adding silica fume. It
Table 1. Chemical compositions (%).
Materials SiO2 Al2O3 Fe2O3 CaO MgO SO3 K2O Na2O TiO2 P2O5 MnO SrO
Cement 22.89 6.98 3.11 55.64 4.51 2.21 0.61 0.27 0.41 0.15 0.29 0.034
Silica fume 96.62
0.21
0.06 1.26 0.40 0.17 0.84 0.21 / 0.14 0.01 0.01
X. Z. Zhang et al.
845
(a) (b)
(c) (d)
Figure 1. Effe c t of silica fume on pore size distribution. (a) Specimens with 0% content of silica fume; (b)
Specimens with 3% content of silica fume; (c) Specimens with 6% content of silica fume; (d) Specimens with
9% content of silica fume.
illustrates that silica fume can make mortar denser, and this is inappropriate for the spread of electromagnetic
wave inside the material and results in the decrease of transmission efficiency.
Tables 2 shows t he results of pore structure of specimens with different content of silica fume.
From Table 2, porosity of specimens decreases with the increase of silica fume content. Therefore, adding si-
lica fume can reduce the permittivity of mortar by its low permittivity, on the other hand silica fume can also in-
crease permittivity of mortar by reducing the porosity. When the former is the main influence factor, permittivi-
ty of mortar will decrease. When the latter is the main influence factor, permittivity of mortar will increase and it
is bad for improving the impedance matching.
3.2. Effect of Silica Fume on the Reflectivity
Figure 2 shows reflectivity of specimens with different content of silica fume in the frequency range of 6 - 18
GHz and 26.5 - 40 GHz.
It can be observed from Figure 2(a) that reflectivity of each specimen sho ws a peak at 8 GHz in the frequen-
cy range of 6 - 18 GHz and this is due to the interference caused by reflecting of electromagnetic wave from the
surface and bottom of specimens. In addition, with the increase of silica fume, the peak shifts from 23.2 dB to
16.0 dB and then to 28.7 dB. From 3.1, it is known that adding low content of silica fume will increase per-
mittivity of mortar and it’s bad for improving impedance matching. So, reflectivity of specimens shows different
variation trend with the increase of silica fume.
In Figure 2(b), reflectivity of specimens is obviously different from each other. Except for specimens with 3%
silica fume, reflectivity of other specimens decreases with the increase of silica fume. It illustrates that silica
fume can improve the reflectivity of cement based materials effectively.
0.01 0.1110 100
0.00
0.03
0.06
0.09
0.12
0.15
Log Differential Intrusion(ml/g)
Pore size/
μ
m
0.01 0.1110 100
0.00
0.05
0.10
0.15
0.20
Log Differential Intrusion(ml/g)
Pore size/
μ
m
0.01 0.1110 100
0.00
0.05
0.10
0.15
0.20
Log Differential Intrusion(ml/g)
Pore size/
μ
m
X. Z. Zhang et al.
846
(a) (b)
Figure 2. Effect of silica fume on reflectivity. (a) 6 - 18 GHz; (b) 26.5 - 40 GHz.
Table 2. Measuring results of pore structure of mortar.
Content/%
Porosity/%
Mean/nm
Mode/nm
Media n/nm
Permittivity/8 - 12.4 GHz
Permittivity/12.4 - 18 GHz
0 22.09 14.20 3.90 35.85 4.3 4.0
3 20.06 16.13 5.12 30.86 4.6 4.1
6 23.56 11.76 3.76 17.40 4.9 4.1
9 17.78 20.88 4.40 646.4 4.5 3.9
3.3. Effect of Silica Fume on the Transmission Efficiency
Figure 3 shows the transmission efficiency of specimens with different content of silica fume in the frequency
range of 8.2 - 12.4 GHz, 12 - 18 GHz and 26.5 - 40 GHz.
In Figure 3, transmission efficiency of specimens decreases with the increase of frequency in three ranges.
Transmission efficiency of control group decreases from 29.3% to 2.3% when the freq ue nc y increases from 8.2
GHz to 40 GHz. After adding silica fume, transmission efficiency of specimens decreases firstly and then in-
creases with the increase of silica fume content, but it is less than control group. When silica fume content in-
creases from 0% to 6%, transmission efficiency of specimens decreases with the increase of dosage. But when
silica fume content increases from 6% to 9%, the trend is the opposite. This is mainly because adding low con-
tent of silica fume makes permittivity of mortar increase and the reflectivity also increases. So transmission effi-
ciency is reduced. When the content increases to 9%, decrease of permittivity improves impedance matching
and transmission efficiency increases.
4. Conclusions
1) After adding silica fume, porosity is reduced and this makes permittivity of mortar increase when the con-
tent of silica fume is low. Permittivities of mortar with 6% silica fume are 4.9 within 8.2 - 12. 4 GHz and 4.1
within 12.4 - 18 GHz and it is bad for improving the reflectivity and transmission efficiency of specimens.
2) With the increase of silica fume, peak of reflectivity curve firstly increases and then decreases in 6 - 18
GHz, but reflectivity decreases in the frequency range of 26.5 - 40 GHz.
3) Transmission efficiency of specimens decreases along with the increase of frequency. But with the increase
of silica fume, transmission efficiency increases firstly and then decreases in 8.2 - 12.4 GHz, 12 - 18 GHz and
26.5 - 40 GHz. Transmission efficiency of specimens with 3% silica fume is the best, but lower than control
group .
Acknowledge ments
This work was sponsored by the National Natural Science Foundation of China (Grant No. 51208227),
68 10 12 14 16 18
-30
-25
-20
-15
-10
-5
03% silica fume
6% silica fume
9% silica fume
Reflectivity/dB
Frequency/GHz
0% silica fume
26 28 30 32 34 36 38 4042
-14
-13
-12
-11
-10
-9
-8
-7
9% silica fume
3% silica fume
6% silica fume
0% silica fume
Reflectivity/dB
Frequency/GHz
X. Z. Zhang et al.
847
(a)
(b) (c)
Figure 3. Effect of silica fume on transmission efficiency. (a) 8 - 12.4 GHz; (b) 12.4 - 18 GHz; (c) 26.5 - 40 GHz.
Shandong provincial government for science research (ZR2012EEQ003), Jinan Science & Technology Bureau
(201303078) and program for scientific research innovation team in colleges and universities of Shandong
pro vinc e .
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Transmission efficiency/%
Frequency/GHz
0% silica fume
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6% silica fume
9% silica fume
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18
20
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Transmission efficiency/%
Frequency/GHz
0%
silica fume
3% silica fume
6% silica fume
9% silica fume
26 28 30 32 34 36 38 40
0
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Transmission efficiency/%
Frequency/GHz
0%
silica fume
3% silica fume
6% silica fume
9% silica fume