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Delft University of Technology

Optimization of reactive powder concrete by means of barite aggregate for both neutrons and gamma rays

Gökçe, H. Süleyman; Yalçınkaya, Çağlar; Tuyan, Murat DOI

10.1016/j.conbuildmat.2018.09.022 Publication date

2018

Document Version

Accepted author manuscript Published in

Construction and Building Materials

Citation (APA)

Gökçe, H. S., Yalçınkaya, Ç., & Tuyan, M. (2018). Optimization of reactive powder concrete by means of barite aggregate for both neutrons and gamma rays. Construction and Building Materials, 189, 470-477. https://doi.org/10.1016/j.conbuildmat.2018.09.022

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*Corresponding author. Tel.: +90 (458) 333 20 33; Fa x: +90 (458) 211 11 27

E-ma il address: suleymangokce@bayburt.edu.tr (H. Sü ley man Gö kçe).

Optimization of reactive powde r concrete by means of barite aggregate for both 1

neutrons and gamma rays 2

H. Süleyman Gökçea*, Çağlar Yalçınkayab,c

, Murat Tuyand

3

a

Bayburt University, Engineering Faculty, Civil Engineering Department, Bayburt, Turkey

4

b

Dokuz Eylül University, Engineering Faculty, Civil Engineering Department, İzmir, Turkey

5

c

Delft University of Technology, Faculty of Civil Engineering and Geosciences, Department

6

of 3Md, Delft, The Netherlands

7

d İzmir Democracy University, Engineering Faculty, Civil Engineering Department, İzmir,

8 Turkey 9 10 Abstract 11

High performance concrete has been often preferred in special engineering structures and in

12

challenging composites products. Researchers have recently focused on the radiation

13

shielding characteristics of these type concrete mixtures due to rising nuclear industry in the

14

developing world. In the study, performance of reactive powder concrete was researched with

15

regard to gamma-ray and neutron attenuation when its normal weight aggregate replaced with

16

heavyweight aggregate (barite). For this purpose, reactive powder concrete mixtures were

17

prepared 100% quartz aggregate, 100% barite aggregate and their blending 50-50%, by

18

volume. Some physical and mechanical characteristics such as density, compressive strength,

19

fracture energy, flexural strength and modulus of elasticity of the mixtures were determined.

20

Gamma-ray attenuation coefficients and transmission thickness values were theoretically

21

established for commonly known gamma energies (661.7, 1173.2 and 1332.5 keV).

22

Optimization of the reactive powder mixtures was performed for both neutron and gamma-ray

23

attenuation at 8 MeV. As a result, barite significantly increased the gamma-ray attenuation

24

coefficients of reactive powder concrete. The mechanical performance of reactive powder

25

concrete, however, was markedly reduced as a result of barite substitution. Replacement of

26

quartz by barite aggregate has a more adverse impact on flexural strength than that of

27

© 2018 Manuscript version made available under CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/

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compressive strength. A mix that contains 40% barite aggregate of total aggregate volume

28

was found as an optimum RPC mixture for simultaneously shielding neutrons and gamma

29

rays.

30

Keywords: Reactive powder concrete, barite proportion, mechanical properties, 31

optimization, simultaneously shielding neutrons and gamma rays 32

33

1. Introduction 34

Radiation has recently become one of the most famous research topics in material and physic

35

sciences due to development of nuclear technology and spreading its use in varied industries.

36

Moreover, interest on the alternative energy sources such as solar energy, wind power and

37

nuclear power due to energy crisis in limited fossil fuel resources, and raise in nuclear weapon

38

stockpile have led to irrefutable radioactive contamination in the world.

39

Designing and resourcing of various concrete types are essential for nuclear and medical

40

centers against numerous applications of gamma –ray sources [1]. Several studies have been

41

performed researching the effects of aggregate type and content, mineral admixtures, waste

42

materials, mix proportions of normal and heavyweight concrete on their gamma-ray

43

attenuation characteristics. Akkurt et al. [2,3,4] researched the gamma-ray shielding

44

properties of concrete mixtures containing normal and barite aggregates. Researchers have

45

recently focused on the alternative aggregate resources to investigate the shielding

46

characteristics of concrete such as colemanite [5], lead mine waste [6] and lead-zinc mine

47

waste [7]. Moreover, effect of some minor additives on the mechanical and shielding

48

efficiency of the concrete has been researched such as boron compounds [8] and bismuth

49

oxide additives [9]. Effect of water to cementitious materials ratio, type of aggregate and

50

binder content on gamma-ray shielding characteristics was presented by Mostefinejad et al.

51

[10]. Gokçe et al. [11] reported the effect of mineral admixtures, water to binder ratio, binder

52

content on the gamma-ray attenuation properties of high consistency barite concrete mixtures.

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3

Ouda [12] recently researched the gamma-ray shielding properties of high performance

54

heavyweight concrete by using various aggregates.

55

Özen et al. [13] studied mechanical and shielding properties of high performance heavyweight

56

concrete having low water to cement ratio (0.28) with barite aggregate and various

57

heavyweight aggregates, and noted that increasing density improved the gamma-ray linear

58

attenuation coefficient of the concrete mixtures. Tufekci and Gokce [14] also researched the

59

shielding performance of heavyweight high performance fiber reinforced cementitious

60

composites containing barite and granulated ferrous waste against X-ray and gamma-ray.

61

Barite, a type of heavy aggregates, is generally used in heavyweight concrete production for

62

against gamma radiation [15]. Heavyweight concrete attenuates both neutron and gamma

63

radiation in neutron research facilities [16]. In addition to heavy elements, neutrons also need

64

shielding materials containing light elements for elastic collisions [17]. Hu et al. [18] stated

65

that inelastic scattering by heavy elements and elastic scattering by hydrogen are quite

66

effective to slow down fast and intermediate-energy neutrons. Thus, the most effective

67

shielding material for nuclear reactors can be obtained by mixing hydrogenous materials,

68

heavy metal elements, and other neutron absorbers [19]. Akkurt and El-Khayatt [20] showed

69

that an optimum barite content of normal performance concrete was more effective for

70

shielding both neutron and gamma-ray.

71

Thanks to its superior mechanical and durability performance, reactive powder concrete

72

(RPC), a type of ultra- high performance concrete, was suggested for industrial and nuclear

73

waste storage facilities by Richard and Cheyrezy [21]. Özen et al. [13] reported that structures

74

accommodating radiation-emitting devices require not only adequate shielding against

75

radiation, but also strength properties. Researchers have recently tried to improve physical

76

and mechanical properties, fire resistance, etc. characteristics of RPC by means of various

77

mix design parameters [22-28]. However, due to high heat of hydration and shrinkage

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4

problems [29,30], RPC should be considered in modular precast products rather than massive

79

constructions in-situ applications. Thereby, the products can be evaluated as an alternative

80

shielding material by optimizing its mix components for simultaneously shielding neutrons

81

and gamma rays.

82

In this study, RPC mixtures were produced by the replacement of its conventional aggregate

83

(quartz) with barite aggregate at 0, 50 and 100%, by volume. Detailed mechanical properties

84

and shielding characteristics of RPC mixtures were determined. In addition to determination

85

of commonly used attenuation coefficients and attenuation thicknesses of the mixtures at

86

661.7, 1173.2 and 1332.5 keV energies of gamma rays, optimum barite proportion was

87

theoretically found for both neutrons and gamma rays at 8 MeV.

88

2. Experime ntal study 89

2.1. Materials 90

Some chemical and physical properties of Portland cement (CEM I 42.5 R) and silica fume

91

used in this study are presented in Table 1. To approximate particle size distribution of 0 – 1

92

mm barite aggregate, quartz aggregate skeleton was composed by 0 – 0.4 mm (40%) and 0.5 –

93

1 mm (60%) grain sizes. The density and water absorption properties of quartz and barite

94

aggregate are 2.65 kg/dm3 and 0.12%, and 4.08 kg/dm3 and 0.54%, in sequence. Oxide

95

composition and grading curve of aggregates are given in Table 2, and Fig. 1, respectively. A

96

polycarboxylate based superplasticizer was used in this study. A straight type, brass coated

97

steel micro-fiber with a 13 mm length, 0.20 mm diameter and an aspect ratio as 65 was used

98

as reinforcing material. The density and tensile strength of steel micro- fiber are 7.17 kg/dm3

99

and 2750 MPa, respectively.

100

Table 1. Some chemical and physical properties of cement and silica fume

101

Che mical co mposition (wt.%) Ce ment Silica fu me

CaO 61.85 0.49

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5 Al2O3 4.40 0.89 Fe2O3 3.96 1.97 MgO 2.05 0.96 Na2O 0.27 0.42 K2O 0.70 1.31 SO3 3.72 0.33 Cl- 0.0004 0.09 Loss on ignition 1.82 - Physical properties

28-day strength activity inde x (%) - 95 Fineness (m2/kg)* 369 20000 Specific gravity 3.12 2.2 * Nitrogen absorption method for SF, Blaine method for the others.

102

Table 2. Oxide composition of aggregates

103

Oxides (wt.%) Barite Quartz

BaSO4 74.31 - SiO2 14.80 92.26 Fe2O3 0.53 1.97 Al2O3 4.67 0.89 CaO 1.06 0.49 K2O 0.85 1.31 MgO 0.42 0.96 P2O5 0.07 - MnO 0.25 - SrO 0.75 - V2O5 1.17 - Nd2O3 0.83 - Ta2O5 0.01 - Sc2O3 0.09 - Sm2O3 0.08 - 104 105

Fig. 1. Grading curve of aggregates

106 0 10 20 30 40 50 60 70 80 90 100 0.125 0.25 0.5 1.0 P a ss in g (% ) Sieve Size (mm) Ba rite Qua rtz

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6

To evaluate the effect of replacement of quartz by barite aggregate, three RPC mixtures were

107

prepared. These mixtures were denoted as Q, Q+B, and B depending on the aggregate source.

108

Q and B mixtures were completely composed of quartz and barite aggregate in sequence,

109

whereas Q+B mixture was composed of 50% quartz and 50% barite combination by volume.

110

Note that all RPC mixtures have an aggregate volume of 35%. The aggregate volume of RPC

111

should be limited to ensure ultra-high strength with enough workability.

112

2.2. Methods and Analyses 113

A special mixing procedure was followed to obtain a homogenous RPC matrix. First of all,

114

cement and silica fume were mixed. Thereafter, the mix water with superplasticizer was

115

added to the dry mix. After fluidization of the paste, aggregates were added to the wet

116

mixture. The final mixing was applied for 10 min at high-speed rotation. The mixtures were

117

poured into cylindrical and prismatic moulds with dimensions of 100×200 mm, and

118

40×40×160 mm, respectively. The RPC mixtures were poured into the moulds in three layers,

119

and each layer was compacted by external vibration without rodding. Note that the flow test

120

was carried out in accordance with ASTM C1437 [31]. All mixtures exhibited 170±5 mm of

121

flow diameter at the same superplasticizer dosage. The mix proportions can be seen in Table

122

3.

123

Table 3. Mix proportions

124 Materials (kg/ m3) Mixtures Q Q+B B Water 190 190 190 Portland ce ment 906 906 906 Silica fu me 227 227 227 0 – 1 mm quartz 939 469 - 0 – 1 mm barite - 723 1444

Steel micro -fiber 143.4 143.4 143.4

Superplasticizer 23 23 23

Design parameters

Barite/total aggregate (%, by volu me) 0 50 100

Paste volume (%) 65 65 65

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Water/binder* 0.18 0.18 0.18

* includes additional water fro m superplasticizer

125

The physical and mechanical performances of the mixtures were evaluated after steam curing.

126

The molded specimens were kept in the laboratory condition at 20±1 °C and 60±5% relative

127

humidity during first 24-hour. Heating period was started after the 24-hour delay period. The

128

temperature of the cabin reached 90°C within six hours and the demoulded specimens were

129

kept in this temperature for 65 hours to achieve ultimate strength of designed mixtures. A

130

gradual cooling period was applied to avoid thermal shock cracking of RPC.

131

Density and volume of free water of hardened RPC specimens (Ø100×200 mm) were taken

132

into account for the calculation of their attenuation properties. Density values of the

133

specimens were determined in oven-dry condition according to EN 12390-7 [32]. Moreover,

134

the volume of free water was calculated as a percent of total specimen volume by using Eq.

135

(1).

136

V = [(WS-OD) / (WS-MW)] × 100 (1)

137

where, V: volume of free water (%), WS: mass of water saturated specimen (kg), OD: mass of

138

oven-dried specimen (kg), MW: mass of specimen in water (kg).

139

The load-deflection graph of the mixture was obtained with carrying out three-point bending

140

tests by an electro- mechanic closed- loop testing system on four 40×40×160 mm prismatic

141

specimens in accordance with Japan Concrete Institute Standard [33]. Thus, loading span,

142

notch depth, and loading rate were 120 mm, 12 mm, and 0.1 mm/min, in sequence. The

mid-143

span deflection was recorded up to 2.0 mm. The fracture energy was calculated by dividing

144

the area under the load-deflection curve by the effective cross-section area for each specimen.

145

Note that due to the small prismatic specimens were tested, the weight of these specimens was

146

neglected in the calculation of fracture energy. Compressive strength tests were performed on

147

eight pieces (40×40×40 mm) left from flexural test of 40×40×160 mm specimens according to

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8

ASTM C349 [34] for each mixture. Modulus of elasticity was determined on cylindrical

149

specimens (Ø100×200 mm) according to ASTM C 469M [35] from the stress–strain curve up

150

to the 35% of maximum stress.

151

2.3. Attenuation of gamma rays 152

The mass attenuation coefficients (µm) of RPC mixtures were theoretically calculated with the

153

help of the XCOM program developed by Berger et al. [36]. The program calculates the mass

154

attenuation coefficients according to the chemical composition of the materials. The elemental

155

ingredients of the hardened concrete were calculated by considering experimental results

156

(oven-dry density and volume of free water) and given in Table 4.

157

Table 4. Relative elemental ingredients of hardened mixes

158

Ele ments Atomic nu mber (Z) Mix Q Mix Q+B Mix B

H 1 0.074318 0.067244 0.061508 O 8 0.395989 0.351549 0.314936 Na 11 0.001141 0.001006 0.000895 Mg 12 0.005426 0.005588 0.005722 Al 13 0.009710 0.015462 0.020198 Si 14 0.258427 0.170090 0.097337 S 16 0.005971 0.033248 0.055700 K 19 0.003350 0.004940 0.006247 Ca 20 0.173808 0.159261 0.147315 Sc 21 0.000000 0.000160 0.000291 V 23 0.000000 0.001786 0.003256 Cr 24 0.000755 0.000683 0.000624 Mn 25 0.000000 0.000528 0.000962 Fe 26 0.069595 0.063973 0.059320 Sr 38 0.000000 0.001728 0.003151 Ba 56 0.000000 0.119258 0.217413 Nd 60 0.000000 0.001939 0.003535 Sm 62 0.000000 0.000188 0.000343 W 74 0.001509 0.001366 0.001248 Total 0.999999 0.999997 1.000001 Moderator fraction (Z≤16) 0.750982 0.644187 0.556296 Density, g/cm3 2.438 2.684 2.943 Vo lu me of free water, % 0.95 1.14 1.25 159

Gamma-ray linear attenuation coefficients were calculated by using the hardened densities of

160

the mixtures according to Eq. (2). Moreover, the relation between transmission and absorber

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9

thickness was constituted in logarithmic scale, and their mean free path (MFP), half- value

162

layer (HVL) and tenth-value layer (TVL) were determined by using Eq. (3), Eq. (4) and Eq.

163 (5), respectively. 164 µ = µm × γ (2) 165 MFP = 1/µ (3) 166 HVL = ln2/µ (4) 167 TVL = ln10/µ (5) 168

where, µ: linear attenuation coefficient (cm-1), µ

m: mass attenuation coefficient (cm2/g), γ:

169

concrete density (g/cm3)

170

2.4. Attenuation of neutrons 171

Buildup factor that allows colliding neutrons and still escaping simplifies the reasonably

172

accurate calculation of attenuation for shields containing moderating materials at 8 MeV.

173

Moderating materials that are elements with low atomic number (≤16) slow down and absorb

174

neutrons [37]. Thus, neutron attenuation coefficients of RPC mixtures were theoretically

175

calculated with the help of the online NCNR [38] computation program at 8 MeV.

176

Wavelength was selected as 1.01121×10-4 Å to test the aforementioned energy of fast

177

neutrons in the computation.

178

Relationships between gamma-ray and neutron attenuation coefficients were assessed, and the

179

coefficients were related with mechanical properties, moderator fractions, density values and

180

barite contents of RPC mixtures.

181

3. Results and Discussion 182

3.1. Mechanical properties 183

Load-deflection curve of the mixtures obtained by three-point bending test can be seen in Fig.

184

2. The gradual load decrement was observed in all mixtures after the peak load. High post

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10

peak load-carrying capacity shows well fracture energy and reinforcing effect of the steel

186

fibers. The formation of deflection hardening after the first crack is a typical indication of

187

high performance. The highest peak load was exhibited by traditional RPC composed of

188

quartz as aggregate phase. Inclusion of barite aggregate decreased the peak loads achieved.

189

The lowest performance was exhibited by RPC consisting only of barite aggregate. This can

190

be attributed to silica flour of quartz that enhances steel fiber- matrix bond characteristics. In

191

addition, this considerable reduction in the performance due to barite inclusion was explained

192

by the friability of barite during mixing as well as interface transition zone deficient [39].

193

Even if the deflection was at 2.0 mm, the flexural load carried by the specimens was 57-67%

194

of the ultimate load measured for all mixtures.

195

196

Fig. 2. Flexural load - deflection curves of the mixtures

197

Flexural strength of the RPC mixtures is shown in Fig. 3(a). Q, Q+B, and B mixtures have

198

exhibited flexural strength of 40, 31.4, and 25.5 MPa, respectively. Note that four specimens

199

were tested for each mixture. It can be seen from Fig. 2 that, however, there is an important

200

scatter on the load-deflection curves depending on distribution and orientation of steel fibers

201

[40]. Thus, a non-negligible standard deviation for flexural strength up to 4.5 MPa was

202

obtained. 50% barite replacement reduced the flexural strength of RPC by 22%. When the

203

replacement ratio was 100%, the reduction was recorded by 36%. Due to barite replacement,

204 0 1000 2000 3000 4000 5000 6000 7000 8000 0 0.5 1 1.5 2 Q Q+B B Deflection (mm) F le xu ra l L o a d ( N )

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both a reduction in quartz powder, thereby in steel fiber- matrix characteristics, and a

205

reduction in robustness of aggregate phase itself affected negatively the performance under

206

flexural loads. This decrement can be seen in the fracture energies under flexural loading as

207

expected. Reduction in fracture energies under flexural loads was a bit higher than loss of

208

flexural strength.

209

One of the most outstanding properties of RPC is its higher compressive strength compared to

210

that of other cementitious composites. This can be attributed to low water to cement ratio, and

211

high cementitious material content of it as well as well-designed micro skeleton concerning

212

packing. As can be seen in Fig. 3(b), a compressive strength level of 218 MPa was reached

213

by traditional RPC mixture with quartz aggregate skeleton. 50% and 100% replacement of

214

quartz by barite caused a compressive strength reduction of 13%, and 21%, respectively.

215

Compressive strength reduction due to barite substitution can be attributed to four possible

216

reasons: less compressive strength of barite than that of quartz, less quartz powder that

217

enhances interfacial transition zones in RPC, reduction in the bond properties between

218

aggregates and matrix due to weak particles around the barite [39], and as observed in the

219

study of González-Ortega et al. [41] even for a normal mixing procedure, the friability of

220

barite aggregate during drastic mixing procedure of RPC. The variations of moduli of

221

elasticity were found similar to those of the compressive strength values of RPC mixtures.

222

The modulus of elasticity of RPC mixture with 100% barite aggregate was found 16% less

223

than the modulus of elasticity of RPC mixture with 100% quartz aggregate. This can be

224

resulted by weaker interfacial transition zone between barite aggregate and paste [39].

225 226 227 228 229

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12 230 231 232 233 234

Fig. 3. Flexural strength and fracture energy (a), compressive strength and modulus of

235

elasticity (b) of RPC mixtures

236

3.2. Gamma-ray attenuation coefficients 237

Theoretical total mass attenuation coefficients with coherent scattering are given in Fig. 4(a)

238

for gamma energies between 0.001 and 100000 MeV. The introduction of barite into the RPC

239

mixtures increased the total attenuation coefficients below 0.3 MeV and above 8 MeV gamma

240

energies because photo-electric and pair production effect can be occurred by the increase of

241 40.0 31.4 25.5 10.1 7.5 6.2 0 4 8 12 16 20 0 10 20 30 40 50 Q Q+B B F ra c tu re e n e rg y ( N /m m ) F le x u ra l st re n g th ( M P a ) Mix ID

Flexura l Strength Fra cture Energy

a 218 190 172 42.3 39.2 35.2 0 12 24 36 48 60 0 50 100 150 200 250 Q Q+B B M o d u lu s o f e la st ic it y ( G P a ) C o m p re ss iv e s tr e n g th ( M P a ) Mix ID

Compressive Strength Modulus of Ela sticity

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atomic number of matter, respectively, as reported by Knoll [42] and Tsoulfanidis [43]. 137Cs

242

and 60Co, well-known radionuclides, are commonly used in calibration of nuclear detectors,

243

sterilization, medical therapy and applications, in gauges for measuring liquid flows and

244

thickness of materials, as a radiation source in radiography, etc. [1]. Mass attenuation

245

coefficients of RPC mixtures at the certain gamma energies (661.7, 1173.2 and 1332.5 keV)

246

of 137Cs and 60Co are given in Fig. 4(b). It is understood that the coefficients were slightly

247

decreased by increasing concrete density at higher barite content. RPC mixture containing

248

100% barite aggregate showed 1.1, 3.5 and 3.6% less mass attenuation coefficient than those

249

of RPC mixture without barite at 661.7, 1173.2 and 1332.5 keV, respectively. For a given

250

gamma-ray energy, the mass attenuation coefficient is not changed due to the physical state

251

variations of a given absorber [42].

252

253

Fig. 4. Total mass attenuation coefficients vs. gamma-ray energy (a), total mass attenuation

254

coefficients vs. concrete density (b) (1 MeV=1000 keV)

255

Fig. 5 presents the linear attenuation coefficients of RPC mixtures at the selected gamma

256

energies. While there is no remarkable effect of barite on mass attenuation coefficients

257

(≤3.6% reduction), the linear attenuation coefficients of RPC increased up to 19% thanks to

258 0.01 1 100 10000 0.001 0.1 10 1000 100000 T o ta l m a s s a tt e n u a ti o n c o e ff ic ie n t (c m 2/g )

Gamma-ray energy (MeV) Q Q+B B a ≈0.3 MeV ≈8 MeV 0.05 0.06 0.07 0.08 0.09 2.300 2.500 2.700 2.900 3.100 T o ta l m a s s a tt e n u a ti o n c o e ff ic ie n t, c m 2/g Concrete density, g/cm3

661.7 keV 1173.2 keV 1332.5 keV

b

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14

remarkable increase of density values by addition of barite. The increments were found more

259

remarkable at high energy of gamma rays (1332.5 keV). Akkurt et al. [4] was also found the

260

similar increment (16%) in normal performance concrete when fully replaced of its calcite

261

aggregate by barite aggregate.

262

263

Fig. 5. Gamma-ray linear attenuation coefficients for certain gamma energies

264

3.3. Transmission thicknesses of gamma rays 265

The relationships between the transmission of the gamma rays and the shielder (RPC)

266

thickness were established in Fig. 6 at 661.7 keV, 1173.2 keV and 1332.5 keV energies.

267

Moreover, mean free path, half- and tenth- value layers that are the mostly used transmission

268

layers of the gamma rays in shield design are given for each gamma energy in Fig. 7. The

269

attenuation thickness of the RPC mixtures decreased with increasing of barite content.

270

Similarly, Zorla et al. [44] recently reported that the attenuation thickness of concrete

271

increased with increasing in gamma-ray energy and slightly reduced at low energies of

272

gamma rays (from 100 to 1000 keV).

273 90 95 100 105 110 115 120 125 0.14 0.17 0.20 0.23 0.26 Q Q+B B Re la ti ve l ine ar at te nua ti on coe ffi ci ent , % L ine ar a tt enua ti on coe ffi ci ent , cm -1 Mix ID

661.7 keV 1173.2 keV 1332.5 keV 661.7 keV 1173.2 keV 1332.5 keV Relative results

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15 274

Fig. 6. Relationships between transmission of gamma rays and thickness of RPC

275

276

Fig. 7. Some selected attenuation thicknesses for mean free path (a), half- value layer (b), and

277

tenth-value (c) layer

278

3.4. Relationships between linear attenuation coefficients and mechanical prope rties 279

Fig. 8 presents linear relationships between linear attenuation coefficients and mechanical

280

properties for particular energy of 8 MeV. It can be seen that the linear relations hips were

281

very strong for the mechanical properties under compression or flexure. Gamma-ray

282

attenuation coefficients were reduced by increasing mechanical properties of RPC by contrast

283 0.001 0.01 0.1 1 0 10 20 30 40 50 Tr a n sm is si o n Thickness (cm)

661.7 keV

B Q+B Q a 0 10 20 30 40 50 Thickness (cm)

1173.2 keV

b 0 10 20 30 40 50 Thickness (cm)

1332.5 keV

c 0 2 4 6 8 10 12 14 16 18 Q Q+B B M ea n fre e pa th, cm Mix ID 661.7 keV 1173.2 keV 1332.5 keV a 0 2 4 6 8 10 12 14 16 18 Q Q+B B H al f-va lue l aye r, cm Mix ID b 0 2 4 6 8 10 12 14 16 18 Q Q+B B T ent h -va lue l aye r, cm Mix ID c

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with neutron attenuation coefficients. This is mainly because increasing the barite

284

substitution, which enhances gamma-ray attenuation of RPC by means of increasing the

285

density, adversely affected the mechanical properties in this study. On the other hand,

Al-286

Humaiqani et al. [45] reported that an increase in compressive strength of high performance

287

heavyweight concrete containing only heavyweight aggregate (barite or hematite) could be

288

improved gamma-ray attenuation coefficients. Moreover, it seems that even if steel fiber

289

usage can increase the mechanical properties [14] and gamma-ray attenuation coefficient of

290

RPC [46], the adverse effect of replacing quartz by barite on the compressive strength,

291

modulus of elasticity, flexural strength, and fracture energy could not be prevented. Thus,

292

barite content of RPC mixture designed for radiation shielding purposes should be optimized

293

for both gamma rays and neutrons by considering the losses in mechanical properties.

294

295

296

Fig. 8. Relationships between gamma-ray attenuation coefficient and compressive strength or

297

modulus of elasticity (a), neutron attenuation coefficient and compressive strength or modulus

298 R² = 0.9826 R² = 0.9957 0 10 20 30 40 50 60 70 0 50 100 150 200 250 0.06 0.07 0.08 0.09 Com pre ss ive s tre ngt h (M P a)

Gamma-ray attenuation coefficient, cm-1

M odu lus of e la st is it y (G P a) Compressive strength Modulus of elasticity a R² = 0.987 R² = 0.9058 0 10 20 30 40 50 60 70 0 50 100 150 200 250 0.15 0.20 0.25 0.30 0.35 0.40 Com pre ss ive s tre ngt h (M P a)

Neutron attenuation coefficient, cm-1

M odu lus of e la st is it y (G P a) Compressive strength Modulus of elasticity b R² = 0.987 R² = 0.9615 0 4 8 12 16 20 0 5 10 15 20 25 30 35 40 45 0.06 0.07 0.08 0.09 F le xura l s tre ngt h (M P a)

Gamma-ray attenuation coefficient, cm-1

F ra ct ure e ne rgy (N /m m ) Flexural strength Fracture energy c R² = 0.9827 R² = 0.9976 0 4 8 12 16 20 0 5 10 15 20 25 30 35 40 45 0.15 0.20 0.25 0.30 0.35 0.40 F le xura l s tre ngt h (M P a)

Neutron attenuation coefficient, cm-1

F ra ct ure e ne rgy (N /m m ) Flexural strength Fracture energy d

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of elasticity (b), gamma-ray attenuation coefficient and flexural strength or fracture energy

299

(c), neutron attenuation coefficient and flexural strength or fracture energy (d)

300

3.5. Optimization of RPC mixtures for both neutrons and gamma rays 301

Polynomial relations established between moderator fraction or density or barite content and

302

linear attenuation coefficients of both neutrons and gamma rays are given at 8 MeV in Fig. 9.

303

It was found that there is exactly opposite variation for neutron and gamma-ray attenuation

304

coefficients according to the mixing parameters. That is, gamma-ray attenuation coefficients

305

of the RPC mixtures were increased with decreasing moderator fraction, and with increasing

306

of density and barite content, exactly unlike to the relations for neutron attenuation

307

coefficients. Similarly, Gencel et al. [47] reported that desired gamma-ray attenuation

308

coefficients were found by replacement of hematite aggregate, while there was no positive

309

effect on neutron shielding due to reducing hydrogen content in denser concrete mixtures.

310

Moreover, El-Khayatt and Akkurt [48] stated that decrease of moderator fraction was reduced

311

the neutron attenuation coefficients. Therefore, an optimum moderator fraction, density or

312

barite content can be suggested to balance shielding capability of RPC efficiently against the

313

both types of radiation. As a result, RPC mixture having 40% barite-60% quartz aggregate

314

gives better shielding characteristics for both neutrons and gamma rays in the study. The

315

optimum proportion was recommended as 54% barite for simultaneous protection against

316

neutrons and gamma rays in normal performance concrete by Akkurt and El-Khayatt [20].

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18 318

319

Fig. 9. Relationships between attenuation coefficients and moderator fractions (a), concrete

320

density values (b), barite contents (c)

321

4. Conclusions 322

Recent studies emphasize that optimization of mix proportions is required for efficiently

323

attenuation of gamma rays accompanied by neutrons. The following conclusions of reactive

324

powder concrete mixtures can be drawn about mechanical characteristics and shielding

325

gamma rays and neutrons in this study:

326

 The mechanical performance of RPC with barite aggregate was significantly lower

327

than that of RPC with quartz aggregate. Replacement of quartz by barite aggregate has

328 0.18 0.22 0.26 0.30 0.34 0.064 0.069 0.074 0.079 0.084 0.56 0.59 0.62 0.65 0.68 0.71 0.74 N e u tr o n a tt e n u at io n c o ef fi ci e n t, c m -1 G a m m a -r a y a tt e n u at io n c o ef fi ci e n t, c m -1

Moderators fraction (by weight) Gamma-ray Neutron a 0.18 0.22 0.26 0.30 0.34 0.064 0.069 0.074 0.079 0.084 2.438 2.638 2.838 N e u tr o n a tt e n u at io n c o ef fi ci e n t, c m -1 G a m m a -r a y a tt e n u at io n c o ef fi ci e n t, c m -1 Concrete density, g/cm3 Gamma-ray Neutron b 0.18 0.21 0.24 0.27 0.30 0.33 0.064 0.068 0.072 0.076 0.080 0.084 0 10 20 30 40 50 60 70 80 90 100 N e u tr o n a tt e n u at io n c o ef fi ci e n t, c m -1 G a m m a -r a y a tt e n u at io n c o ef fi ci e n t, c m -1

Barite content (by volume), % Gamma-ray

Neutron

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19

a more adverse impact on flexural strength than that of compressive strength. Thus,

329

the optimization of aggregate proportions can moderate the loss in mechanical

330

properties in addition to its shielding benefits.

331

 Barite increased the gamma-ray mass attenuation coefficients of reactive powder

332

concrete mixtures below 0.3 MeV and above 8 MeV energies. The mass attenuation

333

coefficients were slightly reduced out of the energies as seen at 661.7, 1173.2 and

334

1332.5 keV energies of gamma rays.

335

 Linear attenuation coefficient was significantly increased (up to 19%) by the use of

336

barite, and thus, the attenuation thickness of reactive powder concrete was reduced for

337

certain gamma-ray transmission.

338

 The linear gamma-ray attenuation coefficients were increased by decreasing linear

339

neutron attenuation coefficients. Gamma-ray attenuation coefficients were reduced by

340

increasing mechanical properties of RPC by contrast with neutron attenuation

341

coefficient. The relations show that barite content of RPC should be meticulously

342

proportioned without overlook the mechanical characteristics.

343

 Attenuation coefficients for neutrons and gamma rays at 8 MeV showed opposite

344

relation for moderator fraction, density and barite content of RPC. Thereby, 40%

345

barite-60% quartz aggregate combination is suggested for the production of RPC for

346

simultaneous shielding neutrons and gamma rays in the study.

347

 Authors of the study recommend the optimum selection of aggregate proportions

348

according to individual combinations of radiation types and energies in any concrete

349

production.

350

References 351

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