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Abstract—Aerated concrete is produced by introducing gas
into a concrete which has a low tensile strength. The aim of the
current study is to investigate the behaviour of aerated concrete
with different Al content under monotonic loads. A finite
element (FE) model to produce a more sophisticated
explanation of the AC behaviour in compression, is constructed.
The results showed that an increase in Al content caused a
decrease in the compressive strength, modulus of elasticity and
density of aerated concrete. FE outputs hold a close agreement
with the experimental values which can be confidently used
instead of further potential experimental work.
Index Terms—Aerated concrete, aluminium powder,
concrete behaviour and finite element.
I. INTRODUCTION
Aerated concrete (AC) is produced by introducing gas
bubbles into conventional concrete which produces a
material of lower density. It is used not only as an insulating
material for sound and heat, but also as a fire-resistant
material. Light weight AC can be used to decrease the dead
load, reduce the inertia effect during earthquakes and
minimize the sections of the building members. Thus, the
structural foundations become less demanding and the
building cost is decreased [1], [2]. However, this type of
concrete has lower mechanical properties and more cement
may be required for the same strength as a normal concrete
[3]. Typical lightweight concrete has densities from 1000 to
2000 kg/m3
and compressive strengths from 1 to 100 N/mm2
[4]. Many factors could influence these properties. Guglielmi
et al. [5] studied the effect of aluminium powder (0.2% -
0.8%) on the compressive strength of autoclaved clayey
cellular concrete. It was noted that the compressive strength
decreased slightly down 0.4% and then increased as the
porosity decreased. It is found that with a high amount of
aluminium powder, part of the hydrogen gas was not
effective in producing pores when the reaction between
hydroxides and aluminium took place. Raj and John [6]
studied the effect of different aluminium powder percentages
(0.1, 0.2, 0.5, 1, 2 and 5%) on the compressive strength of AC
blocks. Their results showed that the compressive strength
Manuscript received December 19, 2016; revised April 5, 2017.
The authors are with School of Mechanical, Aerospace and Civil
Engineering, University of Manchester, M13 9PL, UK, and Rana Shabbar is
also with School of Engineering, University of Kufa, Najaf, Iraq (e-mail:
author@nrim.go.jp).
increased by increasing aluminium powder. However,
addition of more than 5% aluminium powder caused the
compressive strength and density to decrease drastically.
Chaudhari and Chakrabarti [7] used finite element software
ABAQUS to simulate and model a conventional concrete
cube. The results showed that the material modelling of
concrete by using concrete damage palsticity is matched with
those obtained by experimental work in stresses. Ferretti et al.
[8] studied crack development in autoclaved aerated concrete
(AAC) walls under static loads. Three point bending tests on
AAC beams under load control confirmed that the proposed
model predicted the peak load correctly. Since the cost of
experimental works is generally expensive for the large size
structural members, the current study aims to investigate the
effect of aluminium powder on the strength of AC structural
members by laboratory tests and numerical modelling. A
feasibility study of using further FE analysis for the
modelling of cylinder AC samples with varying aluminium
content, in comparison with real test results, was carried out
to decrease the materials and time requirement for any further
experimental tests.
II. EXPERIMENTAL DETAILS
A. Materials and Mix Preparation
AC composed of one part of CEM I/52.5N with two parts
of Leighton Buzzard sand together with Al. The mix
proportions of varying AC are shown in Table I. First, cement
and sand were mixed together. Then Al powder was added
and mixed for another 30 sec. Finally, water with the SP were
added and mixed for 2 min.
TABLE I: MIX PROPORTIONS OF THE AERATED CONCRETE WITH DIFFERENT
ALUMINIUM POWDER CONTENTS
Material kg/m3
Mix 1 Mix 2 Mix 3 Mix 4 Mix 5
Cement 350 350 350 350 350
Sand 700 700 700 700 700
Water 175 175 175 175 175
Aluminium powder 0 0.875 1.75 2.63 3.5
Superplasticizer 4.2 4.2 4.2 4.2 4.2
B. Specimens and Testing
100 mm cubes were used for compression test. The
compressive strength of the AC was determined according to
the BS 12390-3 [9]. Flexural strength was measured by using
prisms with dimensions 100 mm cross section and 500 mm
Rana Shabbar, Paul Nedwell, Mohammed Al-Taee, and Zhangjian Wu
Effect of Different Aluminium Powder Content on the
Behaviour of Aerated Concrete: Experimental and Finite
Element Validation
International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018
155
doi: 10.18178/ijmmm.2018.6.2.367
length according to the BS EN 12390-5 [10]. Cylinders with
diameter 100 mm and length 200 mm were used for
determined modulus of elasticity (Es) according to BS EN
12390-13 [11]. The dry density of the AC was measured
according to the BS EN 992 [12].
III. FINITE ELEMENT VALIDATION
Finite element analyses were conducted to model the
compressive strength and tensile capacity of aerated concrete
with different aluminium powder content. ABAQUS
software version 6.14 was employed to simulate the aerated
concrete failure model [13]. Two steel plates with the square
cross section 150 mm and 30 mm thickness were placed on
the top and bottom of the cylinder to ensure the uniform
distribution of the axial applied load as shown in Fig. 1. A
friction coefficient 0.57 between the steel plate and the
samples was [14] realistically defined to provide the same
situation as the experimental setup. Solid element type has
been used to simulate the aerated concrete specimen;
Concrete damage plasticity (CDP) model was used to model
the behaviour of the aerated concrete with parameters, by
trial and error, as shown in Table II. The mesh size of the
steel plate was 10 mm whereas for the specimen was 5 mm as
shown in Fig. 2.
Fig. 1. Model boundary conditions.
TABLE II: THE CDP PARAMETERS
DILATION ANGLE THE ECCENTRICITY FB/FO STRESS RATIO YIELD SURFACE (K) VISCOSITY
40° 0.1 1.16 2/3 0
Fig. 2. Mesh size of a cylinder specimen and the steel plates.
Fig. 3. Dry density of aerated concrete with varying al content.
IV. RESULTS AND DISCUSSION
Experimental and FE Results
The dry density of AC samples is a function of Al powder
content as shown in Fig. 3. The result revealed that the dry
density varied as expected for the different Al contents. It
decreased as the foaming agent percentage increased because
of the higher number of pores created. The density decreased
from 2102 kg/m3
for the AC with 0% Al to 1841 kg/m3
with
0.25 % Al powder. Then it decreased gradually with the
increasing Al content. The lowest density was obtained with
1% Al which was 1489 kg/m3
.
The 28 day’s compressive strength results are presented in
Fig. 4. It is observed that the compressive strength decreases
with increasing of Al powder content. The lowest
compressive strength was 19 N/mm2
with 1% Al due to
largest amount of voids and lowest rate of calcium silicate
hydrate (C-S-H) gel [5] . Thus, it did not contribute
sufficiently to the compressive strength. The highest strength
was for 0% Al at 53 N/mm2
which then decreased
significantly on introduction of 0.25% Al to 32 N/mm2
and
then decreased slightly as the Al increased with 26 N/mm2
for
0.5% and 23 N/mm2
for 0.75% Al.
The variations of the flexural strength of AC is presented
in Fig. 4 which shows that it decreases when the Al content
increases. The lowest flexural strength was 3.3 MPa with 1%
Al. The highest strength was for 0% Al at 5.5 MPa which
then decreased slightly on introduction of 0.25% Al to 4.6
MPa, 4.2 MPa for 0.5% and 3.7 MPa for 0.75% Al. Similar
results were obtained by Eden et al [15] and Prakash et al
[16], when the flexural strength increased due to an increase
in density because low content of Al.
Modulus of elasticity (Es) is mainly effected by the nature
of the aggregates and cement paste. Additional effects are
provided by the bond and arrangement between the particles
[17]. Fig 5 presents the modulus of elasticity of AC with
different Al content. In comparison to 0% Al, AC specimens
0
500
1000
1500
2000
2500
0 0.25 0.5 0.75 1
Dry
density
(kg/m³
)
Al %
Support
Load
International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018
156
have less stiffness due to the presence of the Al, which caused
larger and more pores to be formed and reducing strength.
AC which was obtained from high Al powder content caused
a greater loss in the Es than that with lower content. The
lowest Es was 7.8 GPa for AC with 1% Al. The highest Es
was for 0% Al at 23 GPa which then decreased significantly
on introduction of 0.25% Al to 18.9 GPa, 14.1 GPa for 0.5%
and 9.7 GPa for 0.75% Al.
Fig. 4. Compressive and flexural strength of aerated concrete with varying al
content.
Fig. 5. Modulus of elasticityof aerated concrete with varying al content.
The initial linear portion of stress-strain in compression for
AC with highest strength was steeper than that with lowest
strength. This could due to its highest modulus of elasticity as
shown in Fig. 6. In the non-linear ascending portion of the
stress-strain curve, the AC with highest strength exhibited a
stiffer non-linear curve. However, for AC with lowest
strength showed a highest horizontal bend towards the peak
stress. This can be referred to a lowest micro cracking in the
AC with highest strength. The strain corresponding to the
peak compressive strength is consider as one of the main
parameters in the analytical modelling of the stress-strain
relationship. The FE model was used to simulate the cylinder
shown in Fig. 1. The stress-strain curves for AC specimens
with different Al content for experimental and FE result are
shown in Fig. 6.
It was observed that the stress-strain curve of the FEM and
that from the experimental test are very close in the elastic
region. However, in the plastic region, where the AC
specimen starts giving plastic deformation, the stiffness
decreases due to the formation of cracks. In addition, the
experimental results have higher strain values when
compared with FE. The data also showed fair agreement
between FE and experimental test results and the percentage
of the error between them ranged between 1.4% and 7.8%.
This gives confidence in the model to provide realistic results
which may then be used instead of experimental work to
decrease the materials required and time taken.
Fig. 6. Stress-strain of ac specimens with different al powder content and FE
validation.
V. CONCLUSIONS
When the Al powder content increased, the dry density
decreased gradually. The compressive, flexural strength and
modulus of elasticity of the AC specimens declined
according to the increase of the content of the Al.
The results showed that FEM can be used to analyse the
behaviour of aerated concrete elements confidently. Such
analytical modelling can be further used to analyse other
concrete structures where the stress-strain behaviour is
critical. FE could be used instead of experimental work to
decrease the materials required and time taken.
ACKNOWLEDGMENT
The authors are grateful for financial support of the Iraqi
ministry of high education and scientific research, technician
support of Mr. John Mason in the school of MACE,
University of Manchester.
REFERENCES
[1] D. H. Lim and B. H. Oh, "Experimental and theoretical investigation
on the shear of steel fibre reinforced concrete beams," Engineering
Structures, vol. 21, no. 10, pp. 937-944, 1999.
[2] O. A. Dü
zgü
n, R. Gü
l, and A. C. Aydin, "Effect of steel fibers on the
mechanical properties of natural lightweight aggregate concrete,"
Materials Letters, vol. 59, pp. 27, pp. 3357-3363, 2005.
[3] A. M. Neville and J. J. Brooks, Concrete Technology. 2nd ed, Harlow:
Longman Scientific & Technical, 2010.
[4] A. M. Neville, Concrete Technology, Harlow: Longman Scientific &
Technical, 1987.
[5] P.O. Guglielmi et al., "Porosity and mechanical strength of an
autoclaved clayey cellular concrete," Advances in Civil Engineering,
2010.
[6] I. S. Raj and E. John, "A study on the properties of air-entrained
concrete for masonry blocks," International Journal of Scientific
Engineering and Technology, vol. 3, no. 11, pp. 1367-1370, 2014.
[7] S. V. Chaudhari and M. A. Chakrabarti, "Modeling of concrete for
nonlinear analysis Using Finite Element Code ABAQUS,"
International Journal of Computer Applications, vol. 44, no. 7, pp.
14-18, 2012.
[8] D. Ferretti, E. Michelini, and G. Rosati, "Cracking in autoclaved
aerated concrete: Experimental investigation and XFEM modeling,"
Cement and Concrete Research, 2015.
[9] BS EN 12390-3, Testing Hardened Concrete. Compressive Strength of
Test Specimens, 2009.
0
10
20
30
40
50
60
0 0.25 0.5 0.75 1
Strength
(MPa)
Al %
Compressive strength
Flexural strength
0
10
20
30
40
50
60
0.0000 0.0010 0.0020 0.0030 0.0040
Stress
(MPa)
Strain
Ave Control FE Ave Control
Ave 0.25% Al FE-Ave 0.25% Al
Ave 0.5% Al FE- Ave 0.5% Al
Ave 0.75% Al FE- Ave 0.75% Al
Ave 1% Al FE- Ave 1% Al
International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018
157
[10] BS EN 12390-5, Testing Hardened Concrete. Flexural Strength of Test
Specimens, 2009.
[11] BS EN 12390-13, Testing Hardened Concrete, Part 13: Determination
of Secant Modulus of Elasticity in Compression, 2013.
[12] BS EN 992, Determination of the Dry Density of Lightweight
Aggregate Concrete with Open Structure, 1996.
[13] Dassault Systè
mes Company, ABAQUS/CAE User's Guide, Dassault
Systè
mes Simulia Corp: USA, 2014.
[14] B. Rabbat and H. Russell, "Friction coefficient of steel on concrete or
grout," Journal of Structural Engineering, vol. 111, no. 3, pp. 505-515,
1985.
[15] N. B. Eden et al., "Autoclaved aerated concrete from slate waste Part 1:
Some property/density relationships," International Journal of Cement
Composites and Lightweight Concrete, vol. 2, no. 2, pp. 95-100, 1980.
[16] T. M. Prakash, B. G. N. kumar, and Karisiddappa, "Strength and elastic
properties of aerated concrete block masonry," International Journal of
Structural and Civil Engineering Research, vol. 2, no. 1, 2013.
[17] R.V. Silva, J. de Brito, and R. K. Dhir, "Establishing a relationship
between modulus of elasticity and compressive strength of recycled
aggregate concrete," Journal of Cleaner Production, vol. 112, Part 4,
pp. 2171-2186, 2016.
Rana Shbbar was born in Baghdad, Iraq in 1977.
Rana recived a B.Sc degee from the Dept. of civil
Engineering at Uinv of Mustenseria, Baghdad, Iraq in
2001 and MSc degree from the Dept. of Housing,
Building and Planning at Uinv of Sains Malaysia,
Penang, Malaysia in 2010. She is currently studying a
PhD at MACE school, Univ of Manchester, UK.
She had worked as a senior lecturer at Engineering
School, Univ of Diyala, Iraq from 2004 to 2005. Then
she worked as a lecturer at Engineering school, Univ of Kufa, Iraq from
2011 to 2013.
Rana Shabbar is a member of Iraqi Engineers syndicate since 2002 and
also a member of the institution of the structural engineers since 2015.
Some of her publications are listed as following: 1). R. Shabbar, P.
Nedwell, and Z. Wu, "Effect of aluminium powder grading on the properties
of aerated concrete," in Proc. 36th Cement and Concrete Science
Conference, UK: Cementitious Material Group, Institute of Materials
Minerals and Mining, 2016a. 2). R. Shabbar, P. Nedwell, M. Wilson, and Z.
Wu, "Porosity and sorptivity of aerated concrete with different aluminium
powder content," International Journal of Chemical, Environmental &
Biological Sciences (IJCEBS), vol. 4, pp. 39-42, 2016c.
International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018
158

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367 mm0001

  • 1.  Abstract—Aerated concrete is produced by introducing gas into a concrete which has a low tensile strength. The aim of the current study is to investigate the behaviour of aerated concrete with different Al content under monotonic loads. A finite element (FE) model to produce a more sophisticated explanation of the AC behaviour in compression, is constructed. The results showed that an increase in Al content caused a decrease in the compressive strength, modulus of elasticity and density of aerated concrete. FE outputs hold a close agreement with the experimental values which can be confidently used instead of further potential experimental work. Index Terms—Aerated concrete, aluminium powder, concrete behaviour and finite element. I. INTRODUCTION Aerated concrete (AC) is produced by introducing gas bubbles into conventional concrete which produces a material of lower density. It is used not only as an insulating material for sound and heat, but also as a fire-resistant material. Light weight AC can be used to decrease the dead load, reduce the inertia effect during earthquakes and minimize the sections of the building members. Thus, the structural foundations become less demanding and the building cost is decreased [1], [2]. However, this type of concrete has lower mechanical properties and more cement may be required for the same strength as a normal concrete [3]. Typical lightweight concrete has densities from 1000 to 2000 kg/m3 and compressive strengths from 1 to 100 N/mm2 [4]. Many factors could influence these properties. Guglielmi et al. [5] studied the effect of aluminium powder (0.2% - 0.8%) on the compressive strength of autoclaved clayey cellular concrete. It was noted that the compressive strength decreased slightly down 0.4% and then increased as the porosity decreased. It is found that with a high amount of aluminium powder, part of the hydrogen gas was not effective in producing pores when the reaction between hydroxides and aluminium took place. Raj and John [6] studied the effect of different aluminium powder percentages (0.1, 0.2, 0.5, 1, 2 and 5%) on the compressive strength of AC blocks. Their results showed that the compressive strength Manuscript received December 19, 2016; revised April 5, 2017. The authors are with School of Mechanical, Aerospace and Civil Engineering, University of Manchester, M13 9PL, UK, and Rana Shabbar is also with School of Engineering, University of Kufa, Najaf, Iraq (e-mail: author@nrim.go.jp). increased by increasing aluminium powder. However, addition of more than 5% aluminium powder caused the compressive strength and density to decrease drastically. Chaudhari and Chakrabarti [7] used finite element software ABAQUS to simulate and model a conventional concrete cube. The results showed that the material modelling of concrete by using concrete damage palsticity is matched with those obtained by experimental work in stresses. Ferretti et al. [8] studied crack development in autoclaved aerated concrete (AAC) walls under static loads. Three point bending tests on AAC beams under load control confirmed that the proposed model predicted the peak load correctly. Since the cost of experimental works is generally expensive for the large size structural members, the current study aims to investigate the effect of aluminium powder on the strength of AC structural members by laboratory tests and numerical modelling. A feasibility study of using further FE analysis for the modelling of cylinder AC samples with varying aluminium content, in comparison with real test results, was carried out to decrease the materials and time requirement for any further experimental tests. II. EXPERIMENTAL DETAILS A. Materials and Mix Preparation AC composed of one part of CEM I/52.5N with two parts of Leighton Buzzard sand together with Al. The mix proportions of varying AC are shown in Table I. First, cement and sand were mixed together. Then Al powder was added and mixed for another 30 sec. Finally, water with the SP were added and mixed for 2 min. TABLE I: MIX PROPORTIONS OF THE AERATED CONCRETE WITH DIFFERENT ALUMINIUM POWDER CONTENTS Material kg/m3 Mix 1 Mix 2 Mix 3 Mix 4 Mix 5 Cement 350 350 350 350 350 Sand 700 700 700 700 700 Water 175 175 175 175 175 Aluminium powder 0 0.875 1.75 2.63 3.5 Superplasticizer 4.2 4.2 4.2 4.2 4.2 B. Specimens and Testing 100 mm cubes were used for compression test. The compressive strength of the AC was determined according to the BS 12390-3 [9]. Flexural strength was measured by using prisms with dimensions 100 mm cross section and 500 mm Rana Shabbar, Paul Nedwell, Mohammed Al-Taee, and Zhangjian Wu Effect of Different Aluminium Powder Content on the Behaviour of Aerated Concrete: Experimental and Finite Element Validation International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018 155 doi: 10.18178/ijmmm.2018.6.2.367
  • 2. length according to the BS EN 12390-5 [10]. Cylinders with diameter 100 mm and length 200 mm were used for determined modulus of elasticity (Es) according to BS EN 12390-13 [11]. The dry density of the AC was measured according to the BS EN 992 [12]. III. FINITE ELEMENT VALIDATION Finite element analyses were conducted to model the compressive strength and tensile capacity of aerated concrete with different aluminium powder content. ABAQUS software version 6.14 was employed to simulate the aerated concrete failure model [13]. Two steel plates with the square cross section 150 mm and 30 mm thickness were placed on the top and bottom of the cylinder to ensure the uniform distribution of the axial applied load as shown in Fig. 1. A friction coefficient 0.57 between the steel plate and the samples was [14] realistically defined to provide the same situation as the experimental setup. Solid element type has been used to simulate the aerated concrete specimen; Concrete damage plasticity (CDP) model was used to model the behaviour of the aerated concrete with parameters, by trial and error, as shown in Table II. The mesh size of the steel plate was 10 mm whereas for the specimen was 5 mm as shown in Fig. 2. Fig. 1. Model boundary conditions. TABLE II: THE CDP PARAMETERS DILATION ANGLE THE ECCENTRICITY FB/FO STRESS RATIO YIELD SURFACE (K) VISCOSITY 40° 0.1 1.16 2/3 0 Fig. 2. Mesh size of a cylinder specimen and the steel plates. Fig. 3. Dry density of aerated concrete with varying al content. IV. RESULTS AND DISCUSSION Experimental and FE Results The dry density of AC samples is a function of Al powder content as shown in Fig. 3. The result revealed that the dry density varied as expected for the different Al contents. It decreased as the foaming agent percentage increased because of the higher number of pores created. The density decreased from 2102 kg/m3 for the AC with 0% Al to 1841 kg/m3 with 0.25 % Al powder. Then it decreased gradually with the increasing Al content. The lowest density was obtained with 1% Al which was 1489 kg/m3 . The 28 day’s compressive strength results are presented in Fig. 4. It is observed that the compressive strength decreases with increasing of Al powder content. The lowest compressive strength was 19 N/mm2 with 1% Al due to largest amount of voids and lowest rate of calcium silicate hydrate (C-S-H) gel [5] . Thus, it did not contribute sufficiently to the compressive strength. The highest strength was for 0% Al at 53 N/mm2 which then decreased significantly on introduction of 0.25% Al to 32 N/mm2 and then decreased slightly as the Al increased with 26 N/mm2 for 0.5% and 23 N/mm2 for 0.75% Al. The variations of the flexural strength of AC is presented in Fig. 4 which shows that it decreases when the Al content increases. The lowest flexural strength was 3.3 MPa with 1% Al. The highest strength was for 0% Al at 5.5 MPa which then decreased slightly on introduction of 0.25% Al to 4.6 MPa, 4.2 MPa for 0.5% and 3.7 MPa for 0.75% Al. Similar results were obtained by Eden et al [15] and Prakash et al [16], when the flexural strength increased due to an increase in density because low content of Al. Modulus of elasticity (Es) is mainly effected by the nature of the aggregates and cement paste. Additional effects are provided by the bond and arrangement between the particles [17]. Fig 5 presents the modulus of elasticity of AC with different Al content. In comparison to 0% Al, AC specimens 0 500 1000 1500 2000 2500 0 0.25 0.5 0.75 1 Dry density (kg/m³ ) Al % Support Load International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018 156
  • 3. have less stiffness due to the presence of the Al, which caused larger and more pores to be formed and reducing strength. AC which was obtained from high Al powder content caused a greater loss in the Es than that with lower content. The lowest Es was 7.8 GPa for AC with 1% Al. The highest Es was for 0% Al at 23 GPa which then decreased significantly on introduction of 0.25% Al to 18.9 GPa, 14.1 GPa for 0.5% and 9.7 GPa for 0.75% Al. Fig. 4. Compressive and flexural strength of aerated concrete with varying al content. Fig. 5. Modulus of elasticityof aerated concrete with varying al content. The initial linear portion of stress-strain in compression for AC with highest strength was steeper than that with lowest strength. This could due to its highest modulus of elasticity as shown in Fig. 6. In the non-linear ascending portion of the stress-strain curve, the AC with highest strength exhibited a stiffer non-linear curve. However, for AC with lowest strength showed a highest horizontal bend towards the peak stress. This can be referred to a lowest micro cracking in the AC with highest strength. The strain corresponding to the peak compressive strength is consider as one of the main parameters in the analytical modelling of the stress-strain relationship. The FE model was used to simulate the cylinder shown in Fig. 1. The stress-strain curves for AC specimens with different Al content for experimental and FE result are shown in Fig. 6. It was observed that the stress-strain curve of the FEM and that from the experimental test are very close in the elastic region. However, in the plastic region, where the AC specimen starts giving plastic deformation, the stiffness decreases due to the formation of cracks. In addition, the experimental results have higher strain values when compared with FE. The data also showed fair agreement between FE and experimental test results and the percentage of the error between them ranged between 1.4% and 7.8%. This gives confidence in the model to provide realistic results which may then be used instead of experimental work to decrease the materials required and time taken. Fig. 6. Stress-strain of ac specimens with different al powder content and FE validation. V. CONCLUSIONS When the Al powder content increased, the dry density decreased gradually. The compressive, flexural strength and modulus of elasticity of the AC specimens declined according to the increase of the content of the Al. The results showed that FEM can be used to analyse the behaviour of aerated concrete elements confidently. Such analytical modelling can be further used to analyse other concrete structures where the stress-strain behaviour is critical. FE could be used instead of experimental work to decrease the materials required and time taken. ACKNOWLEDGMENT The authors are grateful for financial support of the Iraqi ministry of high education and scientific research, technician support of Mr. John Mason in the school of MACE, University of Manchester. REFERENCES [1] D. H. Lim and B. H. Oh, "Experimental and theoretical investigation on the shear of steel fibre reinforced concrete beams," Engineering Structures, vol. 21, no. 10, pp. 937-944, 1999. [2] O. A. Dü zgü n, R. Gü l, and A. C. Aydin, "Effect of steel fibers on the mechanical properties of natural lightweight aggregate concrete," Materials Letters, vol. 59, pp. 27, pp. 3357-3363, 2005. [3] A. M. Neville and J. J. Brooks, Concrete Technology. 2nd ed, Harlow: Longman Scientific & Technical, 2010. [4] A. M. Neville, Concrete Technology, Harlow: Longman Scientific & Technical, 1987. [5] P.O. Guglielmi et al., "Porosity and mechanical strength of an autoclaved clayey cellular concrete," Advances in Civil Engineering, 2010. [6] I. S. Raj and E. John, "A study on the properties of air-entrained concrete for masonry blocks," International Journal of Scientific Engineering and Technology, vol. 3, no. 11, pp. 1367-1370, 2014. [7] S. V. Chaudhari and M. A. Chakrabarti, "Modeling of concrete for nonlinear analysis Using Finite Element Code ABAQUS," International Journal of Computer Applications, vol. 44, no. 7, pp. 14-18, 2012. [8] D. Ferretti, E. Michelini, and G. Rosati, "Cracking in autoclaved aerated concrete: Experimental investigation and XFEM modeling," Cement and Concrete Research, 2015. [9] BS EN 12390-3, Testing Hardened Concrete. Compressive Strength of Test Specimens, 2009. 0 10 20 30 40 50 60 0 0.25 0.5 0.75 1 Strength (MPa) Al % Compressive strength Flexural strength 0 10 20 30 40 50 60 0.0000 0.0010 0.0020 0.0030 0.0040 Stress (MPa) Strain Ave Control FE Ave Control Ave 0.25% Al FE-Ave 0.25% Al Ave 0.5% Al FE- Ave 0.5% Al Ave 0.75% Al FE- Ave 0.75% Al Ave 1% Al FE- Ave 1% Al International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018 157
  • 4. [10] BS EN 12390-5, Testing Hardened Concrete. Flexural Strength of Test Specimens, 2009. [11] BS EN 12390-13, Testing Hardened Concrete, Part 13: Determination of Secant Modulus of Elasticity in Compression, 2013. [12] BS EN 992, Determination of the Dry Density of Lightweight Aggregate Concrete with Open Structure, 1996. [13] Dassault Systè mes Company, ABAQUS/CAE User's Guide, Dassault Systè mes Simulia Corp: USA, 2014. [14] B. Rabbat and H. Russell, "Friction coefficient of steel on concrete or grout," Journal of Structural Engineering, vol. 111, no. 3, pp. 505-515, 1985. [15] N. B. Eden et al., "Autoclaved aerated concrete from slate waste Part 1: Some property/density relationships," International Journal of Cement Composites and Lightweight Concrete, vol. 2, no. 2, pp. 95-100, 1980. [16] T. M. Prakash, B. G. N. kumar, and Karisiddappa, "Strength and elastic properties of aerated concrete block masonry," International Journal of Structural and Civil Engineering Research, vol. 2, no. 1, 2013. [17] R.V. Silva, J. de Brito, and R. K. Dhir, "Establishing a relationship between modulus of elasticity and compressive strength of recycled aggregate concrete," Journal of Cleaner Production, vol. 112, Part 4, pp. 2171-2186, 2016. Rana Shbbar was born in Baghdad, Iraq in 1977. Rana recived a B.Sc degee from the Dept. of civil Engineering at Uinv of Mustenseria, Baghdad, Iraq in 2001 and MSc degree from the Dept. of Housing, Building and Planning at Uinv of Sains Malaysia, Penang, Malaysia in 2010. She is currently studying a PhD at MACE school, Univ of Manchester, UK. She had worked as a senior lecturer at Engineering School, Univ of Diyala, Iraq from 2004 to 2005. Then she worked as a lecturer at Engineering school, Univ of Kufa, Iraq from 2011 to 2013. Rana Shabbar is a member of Iraqi Engineers syndicate since 2002 and also a member of the institution of the structural engineers since 2015. Some of her publications are listed as following: 1). R. Shabbar, P. Nedwell, and Z. Wu, "Effect of aluminium powder grading on the properties of aerated concrete," in Proc. 36th Cement and Concrete Science Conference, UK: Cementitious Material Group, Institute of Materials Minerals and Mining, 2016a. 2). R. Shabbar, P. Nedwell, M. Wilson, and Z. Wu, "Porosity and sorptivity of aerated concrete with different aluminium powder content," International Journal of Chemical, Environmental & Biological Sciences (IJCEBS), vol. 4, pp. 39-42, 2016c. International Journal of Materials, Mechanics and Manufacturing, Vol. 6, No. 2, April 2018 158