Accepted Manuscript Electromagnetic wave absorption enhancement of carbon black/gypsum based composites filled with expanded perlite Shuai Xie, Zhijiang Ji, Yang Yang, Guoyan Hou, Jing Wang PII:
S1359-8368(16)30114-7
DOI:
10.1016/j.compositesb.2016.09.014
Reference:
JCOMB 4506
To appear in:
Composites Part B
Received Date: 24 March 2016 Revised Date:
16 June 2016
Accepted Date: 4 September 2016
Please cite this article as: Xie S, Ji Z, Yang Y, Hou G, Wang J, Electromagnetic wave absorption enhancement of carbon black/gypsum based composites filled with expanded perlite, Composites Part B (2016), doi: 10.1016/j.compositesb.2016.09.014. This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.
ACCEPTED MANUSCRIPT
Electromagnetic wave absorption enhancement of carbon black/gypsum based composites filled with expanded perlite
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Shuai Xie a, b, Zhijiang Ji a *, Yang Yang a, Guoyan Hou a, Jing Wang a
a. State Key Laboratory of Green Building Materials, China Building Materials
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Academy, Beijing 100024, PR China;
b. School of Materials Science and Engineering, Wuhan University of Technology,
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Wuhan 430070, PR China.
E-mail address:
[email protected] (S. Xie),
[email protected] (Z.J. Ji),
[email protected] (Y. Yang),
[email protected] (G.Y.
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Hou),
[email protected] (J. Wang)
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Corresponding author: Zhijiang Ji
E-mail address:
[email protected]
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Fax: +86 010 51167119
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Abstract
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The electromagnetic (EM) wave absorbing carbon black (CB)/gypsum based
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composites with high wave absorption properties and wide effective bandwidth were
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prepared by filling expanded perlite (EP) simply. The influences of CB contents, EP
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volume concentration, EP particle size, and thickness of samples on EM wave
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absorption were investigated, and the absorption mechanisms were analyzed as well.
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The results indicate that the wave absorption of the composites can be remarkably
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enhanced, due to the improvement of impedance matching as well as the single and
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multiple scattering and refractions caused by EP particles. The reflectivity is lower
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than –10 dB in the frequency ranges of 2–3, 5–6.5 and 8–18 GHz for the sample with
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3% CB, when the EP volume concentration and sample thickness are 40 vol.% and 20
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mm, respectively, with the EP diameter of 1 mm. The prepared composites with low
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cost and high efficiency can be considered as a promising candidate used in
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construction engineering for EM wave absorption.
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Keywords: A. Hybrid; B. Electrical properties; B. Mechanical properties; Wave
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absorption (nominated)
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1. Introduction Gypsum is an inorganic cementitious material, which is one of the earliest
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building materials elaborated by mankind and its utilization history can be traced to
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4000 years ago [1]. Nowadays, gypsum based material is widespread use in the
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construction industry as its easy extraction and large reserves especially in China.
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Meanwhile, the gypsum is a traditional finishing material because of its low cost,
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convenient application and excellent finishing appearance. The gypsum based
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products also possess the characteristics of light weight, high strength, noise and
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thermal isolation, as well as inflaming retarding, and all of these properties of gypsum
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based products have been extensively studied [2-4]. As the increasing uses of
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household appliances, communication devices, electronic products, and wireless
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networks, severe electromagnetic (EM) radiation is being generated everywhere. And
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it has become a serious pollution issue, not only influence the normal operation of
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electronic devices, but also do harm to human beings’ health [5-7]. Therefore, the
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demands for developing EM wave absorbing materials with wider absorbing
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bandwidth and more effective absorption performance used in construction industry
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are increasing, and so many EM wave absorbing building materials have been
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developed, such as cement-based materials [8-10], ceramics [11-14], wood-based
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materials [15,16], etc. However, by now the EM wave absorption properties of
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gypsum based materials are seldom reported.
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In previous research of the EM wave absorbing materials, both magnetic loss
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materials and dielectric loss materials are used as the wave absorbing agent. The 3 / 37
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ferrite, carbonyl iron, etc., was widely achieved [17-19]. But there is an obvious
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weakness of absorption performance in high frequency ranges, as well as a critical
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weakness of being heavy. The research of dielectric absorbers using dielectric loss
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materials as absorbing agent indicate that a weight advantage can be achieved
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compared to the magnetic loss materials [20-23]. And the absorption performance of
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the nanoscale dielectric loss materials carbon black (CB) and carbon nanotubes
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(CNTs) is much better [24-26], due to the effects of their smaller size, lager specific
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surface and more interfaces. However, as a single agent, either CB or CNTs still
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possesses some disadvantages, such as small absorption peak and narrow effective
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absorption bandwidth [27,28], because of the impedance mismatching. Thus, based on
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the impedance matching principle [29], an effective method to decrease the
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permittivity of the dielectric loss absorber is the introduction of low EM parameters
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materials.
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Porous materials, such as expanded polystyrene (EP), hollow glass microspheres
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(HGM) and expanded perlite (EP), etc., have a series of excellent properties such as
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low density, low EM parameters and high specific surface. It has been reported that
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the EM wave absorbing properties of the cement-based materials can be improved
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obviously by filling EP or EPS beads, and the reflectivity of the cement based
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materials was lower than –10 dB in 8–18 GHz frequency range [30-32]. Therefore, it
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is an ideal method to improve the impedance matching and EM wave absorption
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performance by introducing porous materials into matrix. However, investigation into
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the effects of porous materials on the EM parameters and wave absorbing properties
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of gypsum based composites, as well as the wave absorption mechanisms are still
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scarce and remain to be explored, which motivates the major objective of this work. In this work, EM wave absorbing gypsum based composites with good
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absorption properties, a simple process, low density and low cost were fabricated. The
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economy and practicability of the composites for construction industry must be
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considered, thus, the CB with lower price was used as absorption agent and the EP
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particles were introduced into matrix to enhance the EM wave absorption
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performance. The aim of this work is to investigate the effects of EP on the EM
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absorption properties of the CB/gypsum based composites, and the impacts on the
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wave absorbing effectiveness, such as the volume concentration of EP, the diameter of
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EP and sample thickness, were analyzed in detail. The absorption mechanisms of the
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gypsum based composites filled with EP particles were discussed as well.
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2. Materials and methods
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2.1 Materials
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Gypsum powders were produced by Inner Mongolia Grassland Gypsum Powder
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Plant, China, and some basic properties are listed in Table 1. Expanded perlite, with
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the average diameters of 1 mm and 3 mm, were procured from Shanghai LongYuan
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Industrial Co., Ltd., China. The bulk density of the EP particles is 150 kg/m3, and the
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chemical compositions are shown in Table 2. Acetylene carbon black was supplied by
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Tianjin Jinqiushi Chemical Industry Co., Ltd., China, and the main properties are
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shown in Table 3. The micro-morphologies and structures of expanded perlite and
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Table 1 Some basic performances of the gypsum
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Table 2 Chemical compositions of the expanded perlite
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Table 3 Main properties of the carbon black
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Fig. 1. Micrograph of the EP and CB particles: (a) SEM image of EP; (b) TEM image of CB.
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2.2 Preparation process of the gypsum based composites
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The main process for preparing the gypsum based composites was displayed in
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Fig.2. The gypsum powders, CB and deionized water were first mixed in a mixer for
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about 3 minutes, and then the EP particles were added into the gypsum plaster
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gradually with the designed volume concentrations, and mixed for another 3 minutes
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to achieve the uniform distribution of EP particles. Then the prepared plaster was
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poured into the moulds with the size of 180 mm × 180 mm × 10/15/20 mm (for the
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measurement of EM wave reflectivity) and 40 mm × 40 mm × 160 mm (for the
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measurement of flexural and compressive strength). Then the moulds were vibrated to
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remove air bubbles. The specimens were removed from their moulds after 2 hours and
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then dried in a constant-temperature dry box with the temperature of 50℃ until their
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quality are not changed with time.
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Fig. 2. Schematic diagram of preparation process of the gypsum based composite.
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2.3 Measurement of properties
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The morphologies and microstructures of raw materials and prepared composites
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are characterized by scanning electron microscopy (SEM, Quanta 200) and
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transmission electron microscopy (TEM, Tecnai F20 ST). The compressive strength 6 / 37
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and flexural strength of the gypsum based composites are tested by a flexural and
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compressive strength testing machine (TYE-300D). The EM parameters of raw materials are measured by coaxial line method in the
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frequency range of 2–18 GHz, and the samples for coaxial line method were prepared
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by paraffin with 50 vol.% powders of testing materials and compressing into
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cylindrical shaped (φout = 7 mm, φinner = 3.04 mm and 3 mm thickness). The EM
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parameters of the prepared gypsum based composites are measured by waveguide
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method only in X-band and Ku-band, because of the limitation of test equipment. And
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the samples for waveguide method are rectangles with the sizes of 22.9 mm × 10.2
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mm × 10.0 mm (for X-band) and 15.8 mm × 7.9 mm × 5.0 mm (for Ku-band),
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respectively. The EM wave reflectivity is measured by arch reflecting method in the
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frequency ranges of 2–18 GHz, according to the national standard GJB 2038A-2011.
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The testing system of arch reflecting method is shown in Fig. 3. The test system
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should be calibrated before measurement, in order to make sure of the accuracy of the
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testing results.
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The measurement of EM parameters and EM wave reflectivity are launched in
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the State Key Laboratory of Green Building Materials in Beijing, China. And the test
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equipment include an Agilent 5234A Vector Network Analyzer, Agilent 85071E
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testing software, standard horn antennas, 7 mm coaxial airline clamp, X-band and
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Ku-band waveguide clamps.
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Fig. 3. Sketch map of the arch reflecting method system.
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3. Theory analysis
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two essential requirements needed. One is that the absorber should have a good
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impedance matching to make the incident EM wave transmit into the absorber easily;
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another is that the absorber should have a good EM wave dissipation capacity. The
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propagation of EM wave in an absorber is shown in Fig. 4, when EM waves transmit
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to the surface of the absorber, part of them will be reflected first. Then, some of the
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incident wave will be absorbed by the absorber, and some remains will transmit back
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to the free space. In an EM wave absorber, the equation must be satisfied [33]:
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t+r+a=1
(1)
where t , r and a represent the transmission coefficient, reflection coefficient and
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absorption coefficient, respectively. Thus, both improving the impedance matching to
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reduce the reflection coefficient and enhancing the EM loss characteristic to increase
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the absorption coefficient are reasonable methods to improve the EM wave absorption
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properties.
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Fig. 4. Graphical representation of the propagation of EM wave inside an absorber
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3.1 Improvement of impedance matching
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As is known that in an optimal situation of impedance matching, the EM
parameters of wave absorber should meet the following equation [29]: ε' = µ', ε" = µ"
(2)
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where ε', µ', ε" and µ" are the real and imaginary parts of permittivity and permeability,
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respectively. Therefore, in a dielectric loss absorber, the impedance matching
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properties can be improved by decreasing the permittivity of the absorber to make the 8 / 37
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values of ε' and ε" close to µ' and µ". The EM parameters of the gypsum, CB and EP are shown in Fig. 5, from which
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it can be observed that all of the raw materials are non-magnetic loss materials. The ε'
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and ε" of CB are in the ranges of 38–180 and 40–125, respectively, in the frequency
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range of 2–18 GHz, indicating that the CB is a kind of strong dielectric loss material.
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The ε' and ε" of gypsum materials are approximate 5.5 and 0, respectively, in 2–18
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GHz, implying the insignificant dielectric loss for EM wave. It can be predicted based
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on the effective medium theory [34,35] that the permittivity of the gypsum based
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composites can be increased obviously by introducing CB, leading to a serious
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impedance mismatching. However, the introduction of the EP particles with much
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lower permittivity (ε' ≈ 2.2,ε" ≈ 0) will reduce the permittivity of the composites, and
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the impedance matching properties can be improved. In addition, more space network
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structures will be formed by the porous EP particles in the composites, providing
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more propagation path for the incident wave, which is beneficial to the improvement
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of impedance matching as well [30,31].
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Fig. 5. EM parameters of (a) carbon black, (b) gypsum powders and (c) expanded perlite
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3.2 Enhancement of EM loss characteristic
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Before introducing EP particles, the CB/gypsum based composites absorb the
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incident wave only by the tunnel effect, leakage conductance effect, damping
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vibration, and polarization effect of the CB particles [36-38]. When EP particles are
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introduced, the complex refractions and scattering of the EP particles will play an
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important role in wave attenuation. The propagation of the incident wave in a single 9 / 37
ACCEPTED MANUSCRIPT particle is shown in Fig. 6(a). When EM wave propagates in the EP filled composites,
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the EM wave attenuation of a single particle Iatt includes the absorption attenuation of
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reflected wave Iab and scattering attenuation of scattered wave Isc, and they satisfied
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the equation Iatt = Iab + Isc [39].
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Fig. 6. Schematic diagram of the scattering and reflections of incident wave: (a) in a single particle; (b) between
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multiple particles.
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Moreover, the multiple scattering and reflections between the particles, which is
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displayed in Fig. 6(b), must be taken into account. On the one hand, the multiple
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scattering can increase wave attenuation by the particles; on the other hand, the
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multiple reflections between particles also increase the propagation length of incident
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wave in the composite [40], leading to the enhancement of the attenuation by the
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CB/gypsum matrix.
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From the above analysis, it can be predicted that the impedance matching
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property and wave dissipation capacity of CB/gypsum based composite could be
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improved by introducing EP particles, leading to the enhancement of EM wave
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absorption. And the effects of EP particles on EM wave absorption are discussed in
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detail in the following sections.
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4. Results and discussion
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4.1 Electromagnetic parameters
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The complex permittivity of the EP filled gypsum based composites was
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investigated by waveguide method in 8.2–18 GHz frequency range. The testing
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system and the measurement results are shown in Fig. 7. The CB mass fraction of the 10 / 37
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test samples is 3%, and the average diameter of the introduced EP particles is 1 mm. As seen from Fig. 7(b) and (c), both the real part ε' and the imaginary part ε" of
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the complex permittivity can be reduced obviously by introducing EP, and with the
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increase of EP volume concentration, the values of ε' and ε" decrease constantly.
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According to Eq (2), for the non-magnetic loss materials, the impedance matching
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performance can be improved by the decrease of complex permittivity. Therefore, the
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introduction of EP particles can improve the impedance matching of CB/gypsum
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based composites assuredly. And the EP volume concentration also plays an important
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role in the improvement of impedance matching.
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Fig. 7. The measurement system of waveguide method (a), the real part (b) and imaginary part (b) of the complex
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permittivity of the composites.
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4.2 Electromagnetic wave absorption properties
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4.2.1
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Enhancement of wave absorption properties The EM wave absorption performance of the CB/gypsum composites and EP
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filled CB/gypsum composites were measured by arch reflecting method as illustrated
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in Fig. 8. The –10 dB reflectivity means that the absorber can attenuate 90% of the
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incident wave. The EP particle diameter of the following samples is 1 mm, and the
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sample thickness is 20 mm.
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It can be seen from the reflectivity curves shown in Fig. 8 that the EM wave
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absorbing properties of the gypsum composites can be obviously enhanced by the
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introduction of EP particles. Meanwhile, the variation of CB contents also plays an
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important role in the enhancement of wave absorption. When the composite is 11 / 37
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insignificant as shown in Fig. 8 (a). With the increasing of CB content, the effect of
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EP particles on the enhancement of wave absorption becomes more and more
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significant. When the composites with 1% or 2% CB as shown in Fig. 8 (b) and (c),
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only the lowest reflectivity decreases. With the continual increase of CB content, the
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reflectivity of the EP filled composites becomes lower than those without EP particles
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in the whole frequency range of 2–18 GHz, which can be observed in Fig. 8 (d)–(f).
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For the composite filled with 3% CB and 40 vol.% EP, a minimum reflectivity of –15
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dB at 2 GHz and a wide effective bandwidth (reflectivity less than –10 dB) of 12.5
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GHz (2–3, 5–6.5 and 8–18 GHz) can be achieved. Hence, the CB/gypsum based
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composites with excellent absorption properties was really obtained by introducing
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EP particles. The enhancement of wave absorption by introducing EP particles can be
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attributed to the improvement of impedance matching and EM dissipation capacity
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[41]. The decrease of the permittivity can improve the impedance matching between
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the composite and free space based on Eq. (2). In addition, new EM wave attenuation
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path such as multiple scattering and reflections has been provided by EP particles,
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causing the promotion of EM wave dissipation capacity.
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It is worth noting that the wave absorbing properties of the composites with 4%
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or 5% CB will be weakened, whose minimum reflectivity even cannot reach –10 dB.
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However, the effect of EP particles on the enhancement of wave absorption is still
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obvious. The skin depth ∆ of the incident wave can be expressed as [42].
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∆ = 2 π 2 f 2 µε "
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ACCEPTED MANUSCRIPT where µ is the permeability of absorbing materials; ε" is the imaginary part of
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absorbing materials; and f is the frequency of incident wave. The permittivity ε″ of the
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composite can be increased when CB content increases, leading to the decrease of the
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skin depth, according to Eq. (3). When the skin depth is less than the thickness of the
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composite, the incident wave cannot penetrate the composite and the propagation
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length becomes shorter, resulting in the decrease of interference offset and wave
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attenuation [9]. That is the main reason for the weak absorption peak and poor
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absorption performance of the composites with 4% or 5% CB as illustrated in Fig. 8
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(e) and (f).
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Fig. 8. The enhancement of EM wave absorption by the introduction of EP particles, (a)–(f): CB 0%–5 % and EP
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concentration is 40 vol.%.
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The EM wave absorption properties of some representative cement based
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absorbing composites filled with porous fillers are summarized in Table 4, and
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comparing with the experimental results of this work. It can be discovered visibly that
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the effective bandwidth of the prepared composite in this work is wider than the EP or
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EPS filled cement based materials, due to the lower permittivity and more lacunose
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interior structure of gypsum composites which is more beneficial to impedance
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matching and EM wave transmission [43].
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Table 4 EM wave absorption properties of some representative porous cement based materials and gypsum based
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materials prepared in this work
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4.2.2
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Effect of the EP volume concentration
Fig. 9 indicates the effects of EP volume concentration on the EM wave 13 / 37
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seen that the wave absorption increases with the increase of EP volume concentration,
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but it does not increase monotonically. It can be discovered that the composite filled
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with 40 vol.% EP particles exhibits optimal wave absorption performance. The
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numbers of EP particles increase with the increase of EP volume concentration, which
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lead to the increase of the multiple scattering and reflections between EP particles.
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Besides, the impedance matching property between the composite and free space
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improved by increasing EP volume concentration, and the incident wave could
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transmit into the composite much easier. Therefore, the EM wave absorption increases
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with the EP volume concentration.
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However, the further introduction of EP particles will decrease wave absorption
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as shown in Fig. 9. The decrease of the permittivity, which can lead to a reduction of
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EM dissipation capacity, may be the main reason for the decrease of wave absorption.
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Fig. 9. Effects of EP volume concentration on the EM wave absorbing properties.
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4.2.3
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Effect of the EP diameter The effects of EP diameters on the EM wave absorption properties are shown in
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Fig. 10, from which it can be observed that the filling of 1 mm EP particles is more
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beneficial to wave absorption. As to the composite with 2 % CB, lower peak values of
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reflectivity can be obtained by introducing 1 mm EP particles. As to the composites
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with 3 % CB, the reflectivity of the composite filled with 1 mm EP is lower than that
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filled with 3 mm EP in the whole range of 2–18 GHz. For the gypsum based
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composites filled with EP particles, in fact, the decrease of the EP diameter is the
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more opportunities for scattering and multiple scattering and refractions of the
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incident wave. So the EM wave absorption performance of the gypsum composite can
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be increased visibly by filling EP particles with smaller diameters.
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Fig. 10. Effects of EP diameters on the EM wave absorbing properties: (a) CB content is 2%; (b) CB content is
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3%.
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4.2.4
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Fig. 11 presents the effect of thickness variation on the wave absorption of the
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composites, and the samples for measurement are filled with 3% CB and 40 vol.% EP.
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The experimental results indicate that the intensity of the reflectivity peak is sensitive
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to the thickness, and the number of peaks increases with the increase of sample
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thickness. Moreover, the shape of the reflectivity curve becomes smoother with the
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increase of sample thickness. The variation of the reflectivity peaks of the samples
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with different thickness can be explained by the interference theory [44]:
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4d ε r µ r
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where f is the frequency of incident wave; n is the number of peaks; εr and µr are the
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complex permittivity and complex permeability of the sample, respectively; c is the
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velocity of EM wave in free space; and d is the thickness. From Eq. (4), it can be seen
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that the increase of thickness d could lead to the increase of the number of peaks,
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when εr and µr are invariable. Simultaneously, the increase of thickness makes the
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possibility of incident wave penetrating the sample becomes smaller, decreasing the
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interference offset of the reflection wave between the top and the bottom of the
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sample [9]. Therefore, the reflectivity curves tend to be smoother as the increase of
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sample thickness.
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Fig. 11. Effects of sample thickness on the EM wave absorbing properties.
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4.2.5
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According to the transmission line theory and impedance matching principle, the EM wave reflectivity can be expressed as follows [45-47]:
R = 20 log
Z in − Z 0 µ0 µ r j 2π fd tanh , Z in = ⋅ ε 0ε r µ 0 µ r Z in + Z 0 ε 0ε r c
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Comparison of calculated and experimental wave absorption properties
(5)
where Zin is the input impedance of the absorber; εr = ε' – jε" and µr = µ' – jµ" are the
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complex permittivity and complex permeability of the absorber, respectively; ε0 and
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µ0 are the permittivity and permeability of free space, respectively; c is the velocity of
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EM wave in free space; f is the frequency of incident EM waves; and d is the
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thickness of the absorber. According to Eq. (5) and the measured EM parameters
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shown in Fig. 7, the EM wave absorption of several samples (with CB 3% and EP
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particles 0–60 vol.%) was calculated in 8.2–18 GHz frequency range.
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Fig. 12 reveals the differences between calculated and experimental reflectivity
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values, from which it can be discovered that the errors between the calculated and
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experimental reflectivity values cannot be avoided. It is obvious that the experimental
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reflectivity values are lower than the calculated results in the whole X and Ku band,
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when EP particles were introduced into the composites. The main reason for this
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phenomenon is that the effects of multiple scattering and reflections on EM wave
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reflectivity are not considered in the calculated equations. In addition, it can be seen
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that the vibration of the calculated curves is larger compared with those experimental
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values as shown in Fig. 7. However, it is can be discovered from Fig. 12 that the
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variation trend of the calculated and experimental results of each sample are basically
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coincident, and the improvement of wave absorption by introduction of EP can be
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observed clearly.
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Fig. 12. Comparison of calculated and experimental reflectivity of the composites with 3% CB and 0 vol.%–60
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vol.% (a)–(d) EP with 1 mm diameter.
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4.3 Mechanical properties
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The effects of EP particles on the flexural and compressive strength were
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investigated as well, and the experimental results are shown in Fig. 13. It can be
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discovered easily from Fig. 13 that both the flexural strength and compressive
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strength are reduced by the EP introduction, when the composite with 20 vol.% EP,
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the flexural strength and compressive strength are 4.6143 and 8.4684 MPa,
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respectively, which is approximately 15 % and 30 % lower than the composite
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without EP. And substantial reductions in the flexural and compressive strength were
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obtained also for the higher EP contents. When the EP content is 60 vol.%, the
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flexural and compressive strength are only 2.6347 and 5.0437 MPa, respectively. The
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compressive strength can be reduced due to the low strength and specific gravity of
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EP [48]. Also, the adhesive performance between gypsum plaster is reduced by filling
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EP, which can cause the reduction of flexural strength. The decrease of mechanical
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properties is an important problem to be resolved in our following work.
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Fig. 13. The flexural and compressive strength of the gypsum based composites with 3% CB and different volume
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concentration of EP.
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5 Conclusions The EM wave absorption performance of CB/gypsum based composite has been
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remarkably enhanced through introducing expanded perlite, owing to the
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improvement of impedance matching, as well as the single and multiple scattering and
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refractions caused by EP particles. The EM absorption properties increase with the
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increase of CB contents and EP volume concentration, but there is an optimal
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concentration for CB and EP, respectively. Moreover, the smaller EP diameters and
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larger thickness are beneficial to the enhancement of wave absorption. With an EP
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volume concentration of 40 vol.%, CB content of 3 % and EP diameter of 1 mm, this
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composite with a thickness of 20 mm exhibits the best wave absorption performance.
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The effective bandwidth for –10 dB can be 12.5 GHz (2–3, 5–6.5 and 8–18 GHz),
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which is wider than most of the reported cement composites filled with porous
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aggregates. However, the flexural and compressive strength were reduced due to the
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filling of EP, and this issue will be resolved in our following works.
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Acknowledgements
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This work was supported by the National Science & Technology Pillar Program during the
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12th Five-year Plan Period of P. R. China (No. 2014BAB15B02-02).
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ACCEPTED MANUSCRIPT Table Captions Table 1 Some basic performances of the gypsum Table 2 Chemical compositions of the expanded perlite Table 3 Main properties of the carbon black Table 4 EM wave absorption properties of some representative porous cement based materials and gypsum based
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materials prepared in this work
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ACCEPTED MANUSCRIPT Figure Captions Fig. 1. Micrograph of the EP and CB particles: (a) SEM image of EP; (b) TEM image of CB. Fig. 2. Schematic diagram of preparation process of the gypsum based composite. Fig. 3. Sketch map of the arch reflecting method system. Fig. 4. Graphical representation of the propagation of EM wave inside an absorber Fig. 5. EM parameters of (a) carbon black, (b) gypsum powders and (c) expanded perlite
multiple particles.
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Fig. 6. Schematic diagram of the scattering and reflections of incident wave: (a) in a single particle; (b) between
Fig. 7. The measurement system of waveguide method (a), the real part (b) and imaginary part (b) of the complex permittivity of the composites.
Fig. 8. The enhancement of EM wave absorption by the introduction of EP particles, (a)–(e):CB 0%–5 % and EP concentration is 40 vol.%.
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Fig. 9. Effects of EP volume concentration on the EM wave absorbing properties.
Fig. 10. Effects of EP diameters on the EM wave absorbing properties: (a) CB content is 2%; (b) CB content is 3%.
Fig. 11. Effects of sample thickness on the EM wave absorbing properties.
vol.% (a)–(d) EP with 1 mm diameter.
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Fig. 13. The flexural and compressive strength of the gypsum based composites with 3% CB and different volume
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ACCEPTED MANUSCRIPT Table 1 Some basic performances of the gypsum Final setting
3 d Flexural
3 d compressive
28 d Flexural
28 d compressive
time / min
time / min
strength / MPa
strength / MPa
strength / MPa
strength / MPa
10
30
4.2
8.9
7.1
18.8
Table 2 Chemical compositions of the expanded perlite Component
SiO2
Al2O3
Fe2O3
MgO
CaO
Na2O
K2O
Content range (wt.%)
73.4
13.5
1.2
0.5
1.3
4.2
5.4
Resistivity
Ignition
(ml/100g)
(Ω·cm)
loss
≥260
2.0
≤0.3%
PH
0.5
Iodine adsorption number
BET specific surface
(g/kg)
(m2/g)
≥280
66.5
6-8
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MnO2
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Table 3 Main properties of the carbon black
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Table 4 EM wave absorption properties of some representative porous cement based materials and gypsum based materials prepared in this work Porous filler
Cement
Cement
(vol.%)
(mm) EPS
60 vol.%
1 mm
EPS 50 vol.%
3 mm
EPS 50 vol.%
1 mm
EP
60 vol.%
1 mm
EP
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Cement
Diameter
Gypsum
40 vol.%
Thickness
(wt.%)
(mm)
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Cement
Filling ratio
EP
Matrix
Absorbent
1 mm
Frequency range (GHz)
References
(R<–10 dB)
/
20
12–18
[30]
6 % CB
20
4–5, 7.5–9 and 11–18
[31]
6 % MnO2
15
6.5–7.5
[32]
5 % Graphite
20
14.5–18
[41]
3 % CB
20
2–3, 5–6.5 and 8–18
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Fig. 12. Comparison of calculated and experimental reflectivity of the composites with 3% CB and 0 vol.%–60
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