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Experimental Study on Punching Performance of Recycled Aggregate Concrete Thin Wallboard with Single-Layer Reinforcement

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Recycle Aggregate Concrete (RAC) is a common "green" product used for a variety of purposes, although the durability and strength of the material still need more research to adequately determine influences on these parameters. The failure pattern, punching bearing capacity, and deflection variation of wallboard of both ordinary concrete and RAC with various rebar reinforcement diameters and spacing were analyzed. Based on experimental data, the ABAQUS finite element analysis of the thin wallboard was performed, and the calculated results are in good agreement with the experimental results. The results show that the failure characteristics of ordinary concrete wallboards and RAC wallboards are similar, but the brittleness of the RAC specimens is more significant. Under the same reinforcement ratio, concrete material, whether new or recycled, had little effect on the punching bearing capacity of the specimens. In the case of a low reinforcement ratio, increasing the reinforcement ratio (decreasing the spacing of steel bars) can effectively improve the bearing capacity of the wallboard. Under the same reinforcement ratio, the wallboard with larger diameter and larger spacing has a higher bearing capacity and less deformation after failure.
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applied
sciences
Article
Experimental Study on Punching Performance
of Recycled Aggregate Concrete Thin Wallboard
with Single-Layer Reinforcement
Wenchao Liu 1,2, Wanlin Cao 2,*, Nana Zong 3, Ruwei Wang 2and Lele Ren 2
1
Office of Postdoctoral Research, Beijing University of Technology, Beijing 100124, China; liuwenchao@bjut.edu.cn
2College of Architecture and Civil Engineering, Beijing University of Technology, Beijing 100124, China;
wangruwei@bjut.edu.cn (R.W.); renlele@bjut.edu.cn (L.R.)
3Beijing Urban Construction Design & Development Group Co. Limited, Beijing 100034, China;
zongnana@bjucd.com
*Correspondence: wlcao@bjut.edu.cn; Tel.: +86-10-6739-2819
Received: 19 December 2017; Accepted: 18 January 2018; Published: 26 January 2018
Abstract:
Recycle Aggregate Concrete (RAC) is a common “green” product used for a variety
of purposes, although the durability and strength of the material still need more research to
adequately determine influences on these parameters. The failure pattern, punching bearing capacity,
and deflection variation of wallboard of both ordinary concrete and RAC with various rebar
reinforcement diameters and spacing were analyzed. Based on experimental data, the ABAQUS
finite element analysis of the thin wallboard was performed, and the calculated results are in good
agreement with the experimental results. The results show that the failure characteristics of ordinary
concrete wallboards and RAC wallboards are similar, but the brittleness of the RAC specimens is
more significant. Under the same reinforcement ratio, concrete material, whether new or recycled,
had little effect on the punching bearing capacity of the specimens. In the case of a low reinforcement
ratio, increasing the reinforcement ratio (decreasing the spacing of steel bars) can effectively improve
the bearing capacity of the wallboard. Under the same reinforcement ratio, the wallboard with larger
diameter and larger spacing has a higher bearing capacity and less deformation after failure.
Keywords:
recycle aggregate concrete; thin wallboard with single-layer reinforcement; punching bearing
capacity; experimental research; simulation
1. Introduction
Accompanied by the continuous development of material science, as well as the continuous
improvement of environmental awareness [
1
4
], recycled aggregate concrete (RAC) has been widely
received by the majority of scientific and technical personnel in the field of construction for various uses.
RAC is made of recycled concrete aggregate (RCA) that comes from repurposed construction waste.
Preliminary exploration of recycled concrete began in the 1940s (Glushge [
5
], 1946), and currently, many
scholars study the mix design method, aggregate types, and fundamental mechanical properties of RAC.
Bairagi [
6
] and Kwan [
7
] systematically studied the mix design method/procedure of RCA. Their results
show that a suitable concrete mix design enables RAC to the achieve target strength. It also outlines the
mix design parameters. The properties of concrete containing recycled fine aggregate were investigated
by Khatib [
8
]. Their results show that the strength of recycled concrete is reduced when the replacement
ratio of recycled fine aggregate reaches 15~30%. Ravindrarajah [
9
] and Tam [
10
] studied the elastic modulus
and strength of recycled aggregate concrete. Their results show that the strength and elastic modulus of
recycled aggregate concrete are reduced by about 10% and 35%, respectively. These studies are important
for studying the mechanical properties of recycled aggregate concrete, especially to understand the essential
parameters for determining the deflection as well as cracking of a RAC structure.
Appl. Sci. 2018,8, 188; doi:10.3390/app8020188 www.mdpi.com/journal/applsci
Appl. Sci. 2018,8, 188 2 of 21
The flexural properties of recycled coarse concrete beams were previously studied by Dosho [
11
] and
Knaack [
12
], who showed that the bearing capacity of recycled concrete beams is not different from that
of ordinary concrete beams, although the deformation and crack width are slightly larger than those of
ordinary concrete beams. The shear behavior of recycled coarse concrete beams was tested by Han [
13
,
14
]
and González-Fonteboa [
15
]. The results show that the deformation and oblique crack propagation of
recycled concrete beams with the same concrete strength are essentially the same as those of made of
ordinary concrete, but the shear capacity is smaller. With the increase of the replacement ratio of the recycled
coarse aggregate, the shear strength of the recycled concrete beams tends to decrease. Andrzej [
16
] and
Xiao et al. [
17
] conducted experiments on the compressive properties of recycled coarse and fine aggregate
concrete columns. The recycled reinforced concrete columns had the same failure mode as that of ordinary
reinforced concrete columns. The bearing capacity of recycled reinforced concrete columns decreases with
the increase of recycled aggregate replacement ratio, but the amplitude is not large. Konno [
18
] studied
the mechanical properties of recycled aggregate concrete columns filled with steel tubes, showing that
the mechanical properties of recycled aggregate concrete confined with steel tubes are similar to those
consisting of ordinary concrete columns and have good ductility. However, the former shows a decrease in
both stiffness and bearing capacity, which decreases with the increase of the replacement ratio of recycled
aggregates. This is mainly due to the lower strength of RAC compared to ordinary concrete. Seismic
performance tests of low, medium, and high shear walls of recycled coarse and fine aggregate concrete were
performed by Cao and Zhang [
19
23
], showing that the bearing capacity, stiffness, ductility, and energy
dissipation capacity of recycled coarse aggregate concrete shear walls are slightly worse than those of
ordinary concrete shear walls. Again, with the increase of recycled aggregate replacement in the mixture,
the bearing capacity and ductility of the recycled aggregate concrete shear wall decreases, although the
seismic performance of the recycled concrete shear walls does meet the needs of structural design.
The punching performance of ordinary concrete slabs has been thoroughly determined, either through
experimental analysis or modeling. Talbot [
24
] used experiments to determine the formula of the punching
shear bearing capacity of ordinary concrete. Elstner [
25
] furthered this work by refining the punching
shear bearing capacity on 39 6-ft square column slabs. Zheng [
26
] continued to perform theoretical analysis
and experimental research on the punching capacity of ordinary concrete. However, the research on the
punching properties of recycled aggregate concrete slab is not yet sufficient, and the previous studies [
27
30
]
mainly focused on thicker members (the slabs with double row reinforcement, as shown in Figure 1a).
So far, there is no report about the punching performance of recycled aggregate concrete thin wallboard
with a single-layer of reinforcement (Figure 1b), which is more environmentally and economically friendly
compared to thicker concrete slabs with extra reinforcement. Therefore, it is necessary to study the punching
performance of this type of thin wallboard.
In this paper, a total of 12 sets of single-row reinforced RAC wallboard units were designed and tested.
The influence of concrete material type, reinforcement ratio (reinforcement spacing), and reinforcement
form on the failure modes, bearing capacity, and deflection of single-layer reinforced concrete wallboard
were studied. Based on the experimental data, an ABAQUS finite element analysis of the thin wallboards
was carried out, which provides a data reference for the practical application of these RAC thin wallboards.
Figure 1.
Punching stress state of different components. (
a
) Floor slabs with double row reinforcement;
(b) Thin wallboard with single-layer reinforcement.
Appl. Sci. 2018,8, 188 3 of 21
2. Tests and Methods
2.1. Test Parameters
The main parameters of the specimens that were varied include the concrete material type,
reinforcement ratio (steel spacing) and steel bar diameter. The concrete materials were divided into
two types: (1) ordinary fine aggregate concrete (FAC) and (2) semi-recycled aggregate concrete with
recycled coarse aggregate replacing 100% of the aggregates. The size of coarse aggregate for the above
two types of concrete materials was 5–10 mm, and the size of fine aggregate was 0–5 mm. Recycled
aggregates were processed by Beijing Shougang Co., Ltd. (Beijing, China). Figure 2shows a photograph
of the processing of the construction waste (referring to the waste generated by man-made or natural
causes in construction, including waste residue soil, abandoned soil, silt, and discarded material, etc.)
to create the recycled coarse aggregate, and the necessary parameters of the recycled coarse aggregate
were in line with standard GB/T 25177-2010 [
31
]. Figure 3shows the particle size distribution curve of
the coarse aggregates in the RCA. The particle size distribution of normal aggregates was 5–25 mm.
The proportion of ordinary concrete and recycled aggregate concrete is shown in Table 1, and the
strength grade of the concrete was C40 (determined by the calculation of the standard value of the
cube compressive strength.). The experimental parameters of the specimens are shown in Table 2.
Figure 2.
The processing of recycled concrete aggregate (RCA). (
a
) The construction waste; (
b
) The
recycled concrete aggregate.
Figure 3. Aggregate gradation of coarse aggregate in RCA.
Table 1. Proportion of ordinary concrete and recycled aggregate concrete.
Mix Proportion of the Concrete kg/m3
Cement Fly Ash Mineral Powder Sand Ordinary-Pebble/
Recycled-Pebble Water Water Reducer
369 79 79 841 841 181 3.5
Appl. Sci. 2018,8, 188 4 of 21
Table 2. Parameters of specimens.
No. D/mm S/mm W/mm L/mm T /mm Concrete Types
BD5-40-1 5 50
600 600 40
RAC
BD4-40-1 4
BD5-40-2 5 75
BD4-40-2 4
BD5-40-3 5 100
BD4-40-3 4
PD5-40-1 5 50
FAC
PD4-40-1 4
PD5-40-2 5 75
PD4-40-2 4
PD5-40-3 5 100
PD4-40-3 4
P: FAC sample; B: RAC sample; D: rebar diameter; S: reinforcement spacing; W: width (mm); L: length (mm);
T: thickness (mm).
Specimens were designed for ease of assembly, with 4 mm thick steel plates used for the external
skeleton (bolt holes can be reserved), and then high strength steel bars (D4/D5) were welded on the
external steel plates to form a framework of steel reinforcement, as shown in Figure 4.
Figure 4.
Detailed information of the steel skeleton of the specimen. (
a
) Sketch of reinforcement;
(b) Detailed photograph of steel skeleton.
2.2. Material Properties
According to the Chinese standard GB/T 228-2002 [
32
], the steel bars and steel plates were
subjected to the metal tensile test, taking measurements three times for each base metal to obtain the
mean value of the yield strength and ultimate strength. The results are shown in Table 3.
Appl. Sci. 2018,8, 188 5 of 21
Table 3. Test results of steel plate and steel bars.
Base Metal type Yield Strength fy/MPa Ultimate Strength fu/MPa Elastic Modulus E/MPa
D4 rebar 721 906 2.10 ×105
D5 rebar 697 801 2.09 ×105
4 mm steel plate 315 467 2.18 ×105
The standard cube compressive strength test was performed on three standard concrete cubes for
each type of cement (FAC and RAC; 100 mm sides with adjustment coefficient of 0.95 [
33
]). The average
compressive strength of the three sample cubes was obtained as shown in Table 4. The coefficient of
variation (standard deviation/average mean) was less than 10%. The tensile strength test of concrete
requires a highly precise test instrument. In this paper, the tensile strengths of FAC and RAC were
calculated based on the reference [34].
Table 4.
Test results of cube compressive strength of fine aggregate concrete (FAC) and RAC concrete
cube samples.
Concrete Types Strength Grade of Concrete Cube Compressive Strength Elastic Modulus
FAC C40/40.00 MPa 40.10 MPa 32,958 MPa
RAC C40/40.00 MPa 41.15 MPa 30,283 MPa
2.3. Test Set-Up and Loading
Testing was performed in the Mechanical Engineering Laboratory of the Beijing University of
Technology. A hydraulic universal testing machine WE-20 was used with a maximum tonnage of
20 t. In order to apply even force across the sample, the vertical concentrated force was distributed
to the four steel loading columns, which are spaced 200 mm apart. Also, four supporting columns
were used to support the sample. A total of eight electrical dial indicators were used to record the
deflection of the specimen during loading. The maximum deflection of the center of the wallboard
was calculated from data from the 1# and 2# dial indicators; the 7# and 8# dial indicators were used
to record the mid-span deflection of the specimens; the 3–6# dial indicators were used to record the
corner deflection of the specimens. The specific layout of the measuring points is shown in Figure 5.
Before formal loading, the specimen was pre-loaded for calibration, which was a maximum of 10% of
the ultimate load calculated by the test piece. At the beginning of loading, 10% of the ultimate load
was applied. When the specimen enters the yielding stage, 7% (1/15) of the ultimate load was applied
until the specimen was destroyed.
Figure 5. Cont.
Appl. Sci. 2018,8, 188 6 of 21
Figure 5.
Loading device and arrangement of measuring points. (
a
) Loading sketch map; (
b
) Loading field.
3. Results and Discussion
3.1. Failure Characteristics
During the initial stage of loading, the concrete of the wallboard was not cracked, and the specimen
was in an elastic stage. As the load increased, tiny cracks began to appear at the bottom surface of the
specimens, especially the corresponding positions of the four loading columns. With the continued applied
force, the developed cracks start to connect along the loading column and radial cracks perpendicular to the
edge of the specimens developed. To about 0.8 F
u
(punching ultimate load), annular surface cracks formed
largely on the top surface of the wallboard, but due to the incomplete development of a “plastic hinge.”
bending failure did not occur at this stage. When the load increased to the specimens’ punching ultimate
load F
u
, with an obvious crackling noise, the specimen could not continue to withstand the load and was
damaged by punching. The characteristic point load obtained from the tests are shown in Table 5
Table 5. Test results of wallboard.
NO. Fc/kN Fy/kN Fu/kN
BD4-40-1 4.4 23.9 25.2
BD4-40-2 3.8 18.4 20.2
BD4-40-3 3.1 14.4 16.0
PD4-40-1 4.7 25.8 26.3
PD4-40-2 4.0 20.8 23.1
PD4-40-3 3.5 15.4 16.8
BD5-40-1 5.4 30.1 31.7
BD5-40-2 4.7 25.3 27.8
BD5-40-3 4.0 20.9 23.3
PD5-40-1 5.7 30.2 31.8
PD5-40-2 5.3 27.0 29.7
PD5-40-3 4.4 21.9 24.3
Fc: cracking load; Fy: yield load calculated by the energy method; Fu: ultimate load.
The normal aggregate concrete specimens and recycled coarse concrete specimens had similar punching
shear failure modes (based on the experimental observation, a partial bending deformation is considered),
but crack development was different in the different samples. In the compressive area of the ordinary
concrete specimens, the cracks were more fully developed, indicating that the integrity of the recycled
aggregate concrete specimens was relatively low when the specimens were punched and destroyed.
The damage forms of RAC specimen (BD4-40-1, BD4-40-2, and BD4-40-3) and ordinary FAC specimen
(PD4-40-1, PD4-40-2, and PD4-40-3) are shown in Figures 6and 7. The deformation of the normal aggregate
concrete specimens was more symmetrical when destroyed, so the deformability of the recycled coarse
aggregate concrete specimens is relatively low. Moreover, it can be seen that the specimen with smaller
spacing has better deformation ability when the concrete material type is the same.
Appl. Sci. 2018,8, 188 7 of 21
Figure 6.
Failure modes of recycled concrete wallboard. (
a
) BD4-40-1 (top surface); (
b
) BD4-40-2
(top surface); (
c
) BD4-40-3 (top surface); (
d
) BD4-40-1 (bottom surface); (
e
) BD4-40-2 (bottom surface);
(f) BD4-40-3 (bottom surface).
Figure 7.
Failure modes of ordinary concrete wallboard. (
a
) PD4-40-1 (top surface); (
b
) PD4-40-2
(top surface); (
c
) PD4-40-3 (top surface); (
d
) PD4-40-1 (bottom surface); (
e
) PD4-40-2(bottom surface);
(f) PD4-40-3 (bottom surface).
3.2. Load-Bearing Capacity
The load-displacement (F-
) curve of the specimen reflects the performance of the plate in terms of
bearing capacity. Displacement refers to the vertical displacement of the loading column. The influence
of concrete material, reinforcement ratio (bar spacing), and steel structure form on the punching and
cutting bearing capacity of the specimen are shown in Figures 810.
Appl. Sci. 2018,8, 188 8 of 21
3.2.1. Influences of Concrete Material Type
In Figure 8,
is the displacement of the loading beam, and the F is the vertical load. The difference
between the ultimate bearing capacity of ordinary concrete wallboard and recycled aggregate concrete
wallboard can be calculated by DV
F
= (F
FRA
F
RCA
)/F
FRA
* 100%, and the difference of the average
ultimate bearing capacity was MDV
F
= 5.8%. The specific results of the DV
F
are shown in Figure 8a to
Figure 8f. The bearing capacity of ordinary concrete wallboard was slightly higher than that of recycled
concrete wallboard, so the concrete material had little effect on the bearing capacity of wallboard.
Figure 8.
Influence of concrete material on bearing capacity of specimens. (
a
) Reinforcement ratio of
0.63%; (
b
) Reinforcement ratio of 0.42%; (
c
) Reinforcement ratio of 0.31%; (
d
) Reinforcement ratio of
0.98%; (e) Reinforcement ratio of 0.65%; (f) Reinforcement ratio of 0.49%.
Appl. Sci. 2018,8, 188 9 of 21
3.2.2. Influences of Reinforcement Ratio (Reinforcement Spacing)
As shown in Figure 9, the bearing capacity of the wallboard decreased with the decrease of
reinforcement ratio (the bearing capacity decreased with the increase of the reinforcement spacing)
Therefore, in the case of a relatively low reinforcement ratio (0.31–0.63%), increasing the reinforcement
ratio can effectively improve the bearing capacity of the wallboard. The specimen with a larger bar
diameter will also have a greater bearing capacity, although the bearing capacity decreases more
quickly at later failure stages. Compared with ordinary FAC wallboard (Figure 9a,b), the bearing
capacity of RAC wallboard decreased faster during the last stage of failure (Figure 9c,d).
Figure 9.
Influence of reinforcement ratio on the bearing capacity of specimens. (
a
) Ordinary concrete
wallboard with D = 4; (
b
) Ordinary concrete wallboard with D = 5; (
c
) Recycled concrete wallboard
with D = 4; (d) Recycled concrete wallboard with D = 5.
3.2.3. Influences of Reinforced Form
Different combinations of reinforcing bar spacing and bar diameter can lead to different forms
of reinforcement. So it is necessary to study the influence of the reinforcement form on the bearing
capacity of the specimen under the same reinforcement ratio. As can be seen from Figure 10, under the
same conditions of concrete materials, the bearing capacity of specimens with a larger steel bar and
larger spacing was greater, but the bearing capacity decreased rapidly in the final stage.
Appl. Sci. 2018,8, 188 10 of 21
Figure 10.
Influence of reinforcement ratio on bearing capacity of specimens. (
a
) Ordinary concrete
wallboard with different reinforced form; (b) Recycled concrete wallboard with different reinforced form.
3.3. Deflection Analysis
Taking PD-40-1 as an example, the variation in deflection during the loading process was analyzed.
The center deflection of the specimen was calculated by the measured results from the 1# and 2# dial
indicators. The deflection of other measuring points 3~8# can be measured directly. The load deflection
F-U curve of the specimen PD-40-1 during loading process is shown in Figure 11a,b.
The center and mid-span of the wallboard were bent and deformed downward, and the maximum
deflection of the center point was about 36 mm. The deflection of the support point increased inversely
with downward direction, indicating that the corner of the wallboard at the support point warped
upward to a maximum of 4.5 mm. In order to analyze the effects of the concrete material, reinforcement
ratio and reinforcement form on the center deflection of the specimen, the load deflection F-U curve of
specimen is given.
Figure 11.
Load deflection F-U curve of specimen PD-40-1. (
a
) Deflection of the support point;
(b) Deflection of the center and mid-span point.
Figure 12 show that the deflection values of ordinary FAC specimen was larger than the RAC
specimen, therefore the deformation capacity of the FAC specimens was relatively stronger. The main
reason is that the elastic modulus of the recycled aggregate concrete is lower than that of the FAC.
The deformation capacity of specimens with a high reinforcement ratio is poor, which indicates that
Appl. Sci. 2018,8, 188 11 of 21
the reinforcement ratio of specimens in practical engineering should not be too high. In the case of
equivalent reinforcement, the specimens with smaller bars and smaller spacing have better capacity to
deform, rather than fail, under stress.
Figure 12.
Effect of different parameters on the center deflection. (
a
) Effect of material types; (
b
) Effect
of reinforcement ratio; (c) Effect of reinforcement form.
4. Theoretical Calculation and Analysis
Based on nonlinear finite element analysis theory, the finite element software ABAQUS (ABAQUS
Inc., Pawtucket, RI, USA) was used to analyze the working mechanisms of a single row of reinforced
recycled aggregate concrete thin wallboard. At the same time, the calculated load-deflection curve was
compared to the measured curve to further analyze the damage and evolution of the structure.
4.1. Material Constitutive Model
4.1.1. Recycled Aggregate Concrete
There are three kinds of constitutive model of concrete commonly used in ABAQUS: concrete
diffusion crack model, concrete brittle cracking model and concrete damage plastic model [
35
].
The concrete damage plastic model considers the effects of damage has on the material and can
adequately simulate the behavior and response of concrete under monotonic loading. Therefore, in
this paper, the plastic damage model was used to simulate the concrete. The fracture properties will
not be taken into account in the model.
Appl. Sci. 2018,8, 188 12 of 21
(1) Tension and pressure injury
The plastic damage model for concrete in ABAQUS assumes that the concrete material is mainly
subjected to tensile cracking and crushing. The yield and failure were respectively determined by
equivalent tensile plastic strain
e
εpl
t
and equivalent compressive plastic strain
e
εpl
c
. The tensile damage
curve of concrete transforms the cracking strain into plastic damage strain by the destroying stress
and cracking strain, while the compression damage curve of concrete was calculated by further
transforming inelastic strain into plastic strain. The two formulas are shown in Equations (1) and (2).
e
εpl
t=e
εck
tdt
(1dt)
σt
E0
(1)
e
εpl
c=e
εin
cdc
(1dc)
σc
E0
(2)
where
e
εck
t
is the cracking tensile strain,
e
εck
t=εtεel
0t
,
εel
0t=σt/E0
, among them
εe1
0t
is the elastic tensile
strain of the non-destructive material, and εtis the total tensile strain. e
εin
cis the inelastic compression
strain, where
e
εin
c=εcεel
0c
,
εel
0c=σc/E0
, among them
εe1
0c
is the elastic compression strain of the
non-destructive material,
εc
is the total compression strain,
dt
is the tension damage variable, and
dc
is
the compression damage variable.
(2) Uniaxial compressive and tensile stress-strain curves
In this paper, the compressive constitutive equation of RCA under uniaxial pressure proposed by
Xiao [
36
] was used, as shown in Equation (3). Figure 13 shows the uniaxial compressive stress-strain
curves of the recycled aggregate concrete.
y=(ax + (32a)x2+ (a2)x3, 0 x<1
x
b(x1)2+x,x1(3)
where x =
ε
/
ε00
,y =
σ
/f
c0
;ais the coefficient at the ascending stage of the curve and
a= 2.2(0.748 r21.231 r+ 0.957)
, taken as a= 1.05, among them ris the recycled coarse aggregate
replacement ratio, where r= 100%. bis the coefficient at the descending stage of the curve and
b= 0.8(7.6483 r + 1.142)
, taken as b= 7.03. The peak compressive strain of the recycled concrete prism
is
εr0
, 1.2 times the peak compressive strain of ordinary concrete, and
fr
c
is the compressive strength of
the recycled concrete prism and taken as
fr
c
= 0.67 f
cu
, where f
cu
is the measured value of the concrete
cube compressive strength (Table 4).
Figure 13. Compression stress-strain curve of recycled concrete.
Appl. Sci. 2018,8, 188 13 of 21
The model hypothesis of the tensile stress-strain principle is valid if the sample is without damage
before reaching the peak stress. The descending curve can be calculated using Equation (4) [33].
y=x
αt(x1)2+x,x1 (4)
where x=
ε
/
εr
t0
,y=
σ
/
fr
t
;
εr
t0
is the peak tensile strain of the recycled concrete prism,
εr
t0
=
fr
t
/E
c
;
fr
t
is the representative value of the uniaxial tension strength of concrete.
fr
t
= (
0.06 r+ 0.24)(
fr
cu
)
2/3
,
and
αt
is the coefficient at the descending stage of the uniaxial tension stress-strain curve of concrete.
The uniaxial tensile stress-strain curve of the recycled aggregate concrete is shown in Figure 14.
Figure 14. Tensile stress-strain curve of recycled concrete.
4.1.2. Steel Rebar and Plate
In this paper, the elasticity enhancement model (double line model) was used to simulate the
reinforcement law. The Mises yield and kinematic hardening criteria were used in the numerical
simulation. The stress-strain relationship of the steel bar was simplified as an oblique line. In this
study, E0s = 0.01 Es[37], and Poisson’s ratio was 0.3. Figure 15 shows the stress-strain curve of steel.
Figure 15. Stress-strain curve of steels.
Appl. Sci. 2018,8, 188 14 of 21
The true values of stress and strain were used in the ABAQUS software, while the nominal
stress and nominal strain were measured in the material tensile test [
38
]. They can be converted by
Equations (5) and (6).
ε=1n(1+εnom )(5)
σ=σnom(1+εnom )(6)
4.1.3. Unit Selection
The 3D solid element C3D8R was used to simulate the concrete and steel plates (columns). Also,
the 3D truss element T3D2 was used for the rebar (the unit can only support axial loads and has
three translational degrees of freedom at each node but no rotational degrees of freedom). During the
modeling process, the steel bars and steel plates were merged into a steel skeleton and embedded in
the concrete unit together, as shown in Figure 16.
Figure 16. Finite element model. (a) Model parts; (b) Steel skeleton.
4.2. Boundary Conditions and Meshing
In order to have a consistent finite element model with the actual experiments, four loading columns
and four supporting columns were defined. The bottom surfaces of the loading columns and the upper
surface of the wallboard were defined as surface-to-surface contact interaction. The tangential behavior was
Coulomb friction, with a coefficient of friction of 0.25, and the normal behavior was set to “hard contact”.
Concurrently, the top surface of the supporting columns and the bottom surface of the wallboard were
also defined as surface-surface contact interaction, as shown in Figure 17a. The bottom surfaces of the
supporting columns were defined as a fixed constraint. Translational sliding of the test specimen in the
unloaded direction during the loading process was constrained, as shown in Figure 17b. The model grid
was divided by the green structure grid, as shown in Figure 18.
Figure 17. Boundary condition as defined. (a) Definition of contact relationships; (b) Applied constraints.
Appl. Sci. 2018,8, 188 15 of 21
Figure 18. Mesh partition of modeled specimen. (a) Concrete meshing; (b) Steel skeleton meshing.
4.3. Finite Element Calculation Results and Analysis
4.3.1. Comparative Analysis of Bearing Capacity
Using specimens BD4-40-1, BD4-40-2, BD4-40-3, and PD4-40-3 as examples, the calculated and
measured values of the ultimate load of each specimen are shown in Table 6.
Fc
u
is the calculated value
of the ultimate load in the table, and
Fe
u
is the measured value of ultimate load.
Fis the relative error
between the calculated value of ultimate load and the measured value.
Table 6. Calculated and experimental results of ultimate load.
No. Fc
u/kN Fe
u/kN F(%) No. Fc
u/kN Fe
u/kN F(%)
BD4-40-1 26.16 25.23 3.69
BD4-40-2
22.23 20.28 9.62
BD4-40-3 17.96 16.34 9.91
PD4-40-3
17.78 16.80 5.83
From Table 5, the relative error between the calculated value of the limit load and measured value
was between 3.69% and 9.91%, and the calculated results were slightly larger than the test results.
Generally, the calculated results were in good agreement with the measured results.
4.3.2. Comparison and Analysis of Load—Deflection Curve
The calculated load-deflection curves and measured load-deflection curves of the center point of
each specimen are shown in Figure 19.
When the load was lower than the ultimate load of the specimen, the slope of the calculated
load-deflection curve was greater than the slope of the measured load-deflection curve. When the
load exceeded the ultimate load of the specimen, the calculated load-deflection curve was in good
agreement with the measured skeleton curve. This is because the boundary condition was an ideal
fixed constraint in the calculation, so that the stiffness of the specimen was large when the calculation
was performed. However, the constraint of the specimen in the actual test was relatively weak, so
the stiffness was relatively small. When the load exceeded the ultimate load of the specimen, the
calculated and measured stiffness of the specimen both started to decay, and the influence of the
boundary conditions began to weaken. Overall, the calculated results were in good agreement with
the experimental results.
Appl. Sci. 2018,8, 188 16 of 21
Figure 19.
Comparison of calculated and experimental curves. (
a
) BD4-40-1; (
b
) BD4-40-2; (
c
) BD4-40-3;
(d) PD4-40-3.
4.3.3. Contrastive Analysis of Damage Morphology and Stress Cloud
In order to analyze the entire damage process of the specimens, test specimen BD4-40-3 was
taken as an example to provide a deformation cloud chart of the specimens before and after punching,
as shown in Figure 20.
Figure 20.
Simulated deformation and failure modes of specimens. (
a
) Simulated deformation before
loading; (
b
) Simulated deformation after loading; (
c
) Failure mode of specimen BD4-40-3; (
d
) Failure
mode of specimen PD4-40-3.
It can be seen from Figure 20b that the deformation of the simulated specimen was more symmetrical
when destroyed, and it is obvious that the loading area buckled downward, while the test area buckled
downward only to one side (Figure 20c), which is mainly due to the ideal constraint of the specimen in the
simulation. At the same time, the initial error (for example, the loading center is not coincident with the
Appl. Sci. 2018,8, 188 17 of 21
specimens’ center) in the process of simulation was very small. All the while, the comparative specimen
PD4-40-3 (Figure 20d) shows that the damage morphology of the model was in good agreement with
the experiment.
In order to further analyze the stress changes of concrete and the steel skeleton under different
loads, the variations of the principal stress of the concrete and steel skeleton in the compression zone
under a cracking load, peak load, and failure load are shown in Figures 2123.
Figure 21.
Mises stress contour figures of concrete and steel skeleton (cracked). (
a
) Mises stress in the
concrete compression zone; (
b
) Mises stress of the reinforcement skeleton; (
c
) S22 stress in the concrete
compression zone; (d) S22 stress in the concrete tension zone.
Figure 22. Cont.
Appl. Sci. 2018,8, 188 18 of 21
Figure 22.
Mises stress contour figures of concrete and steel skeleton (ultimate). (
a
) Mises stress in the
concrete compression zone; (
b
) Mises stress of the reinforcement skeleton; (
c
) S22 stress in the concrete
compression zone; (d) S22 stress in the concrete tension zone.
Figure 23.
Mises stress contour figures of concrete and steel skeleton (damaged). (
a
) Mises stress in the
concrete compression zone; (
b
) Mises stress of the reinforcement skeleton; (
c
) S22 stress in the concrete
compression zone; (d) S22 stress in the concrete tension zone.
Appl. Sci. 2018,8, 188 19 of 21
As can be seen from Figure 21 to Figure 23,
(1) When the load was small, the main stress of the concrete in the compression zone of the specimen also
was not very large. When the stress in the concrete tension zone reached 1.26–1.38 MPa, the concrete in
the tension zone cracked, and the concrete stress in the compression zone was between 15.9–19.4 MPa.
At this time, the steel’s stress reached 546 MPa, so the distribution rebar did not yet yield.
(2)
When the specimen reached its ultimate load, the compressive strength of the concrete reached its
ultimate compressive stress of 39.5 MPa, while the distribution rebar did not yet reach its yield strength
(702 MPa). This indicates that the failure process of the specimen in the simulation process first has
the center of the distribution rebar yielding, followed by essentially crushing of the concrete in the
compression zone of the specimen, which is consistent with the experimental results.
(3)
When the specimen reached its breaking load, the stress of the concrete in the compression zone
was reduced (corresponding to the strain increasing), and the area of the concrete tension zone
continued to increase. At this time, the steel rebar entered its strengthening stage, and the stress
of the steel bar continued to increase.
5. Conclusions
In this paper, the punching performance of 12 wallboards consisting of FAC, RAC, and various
types of reinforcement were tested, and the influence of the specimen parameters on the failure mode,
bearing capacity and deflection of the specimen was studied. The main conclusions are as follows:
(1)
The failure characteristics of ordinary concrete wallboards and recycled concrete wallboards are
similar, all of which have a clear punching shear failure, although the recycled concrete samples
are more brittle than their new material counterparts, most likely due to the lower elastic modulus
of the recycled concrete.
(2) Under the same reinforcement ratio, the ultimate bearing capacity of common concrete wallboard
is slightly higher than that of recycled concrete wallboard, with a maximum bearing capacity
being 14% higher, minimum of 1%, and average of 5.8%. These relatively small differences
indicate that the concrete material has little influence on the bearing capacity of a specimen.
(3)
When the reinforcement ratio is in the range of 0.31–0.42%, each increase of reinforcement ratio
by 0.1% increases the punching ultimate bearing capacity of the wallboards by 2.48%, although
the bearing capacity does not correspondingly increases after the reinforcement ratio exceeds
a certain limit. In the case of equivalent reinforcement, the bearing capacity of specimens with
a larger diameter and spacing are higher by 10.4% than that of the specimens with smaller
diameters and spacing. Although the bearing capacities of the smaller diameter and spacing
specimens are slightly lower, the deformation capacities are stronger in the later stage of failure.
In actual experiments, late deformation of the specimens should be considered.
(4)
The finite element model of a single-row reinforced recycled concrete wallboard was established,
and the damage process of the specimen analyzed. The results show that the established
finite element model can accurately simulate the failure process and the ultimate failure
mode of a specimen, and the calculated load-deflection curve is in good agreement with the
experimental curve.
Acknowledgments:
The authors would like to acknowledge the financial support from the Key Research and
Development Plan of Beijing Municipal Science and Technology Commission (Grant NO. Z161100001216012),
China Postdoctoral Science Foundation (Grant NO. 71001015201705) and the Beijing Postdoctoral Science
Foundation (Grant NO. Q6001015201702).
Author Contributions:
Wenchao Liu performed the experiments and analyzed the data and wrote the paper.
Wanlin Cao proposed the topic of this study. Nana Zong, Ruwei Wang, and Lele Ren participated in the
manuscript preparation.
Conflicts of Interest:
The authors declare that there is no conflict of interests regarding the publication of
this paper.
Appl. Sci. 2018,8, 188 20 of 21
Abbreviations
The following abbreviations are used in this manuscript:
RAC Recycled Aggregates Concrete
RCA Recycled Concrete Aggregates
FAC Fine Aggregate Concrete
DV Different Value
MDV Mean Different Value
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2018 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access
article distributed under the terms and conditions of the Creative Commons Attribution
(CC BY) license (http://creativecommons.org/licenses/by/4.0/).
... More and more raw materials and energy have been consumed in this economic activity. In turn, wastes produced by the industry account for a majority of the overall amount of waste generated [1][2][3][4]. It is estimated that the annual production of waste concrete in China has reached 239 million tons and that it accounts for about one-third of the total construction and demolition waste [5]. ...
... But when the replacement ratio was 40%, the strength ratio was 14.7% higher than that for the control specimens. This implies that although both the cubic and cylindrical compressive strengths of the compound concrete decreased with increasing replacement ratio, the cubic strength declined more slowly than the cylindrical strength, probably due to the end Based on the experimental results published in recent years, a linear formula Equation (3) has been suggested for predicting the cubic compressive strength of compound concrete made of normal-strength DCLs and FC [27,30]. Taking the observed shape effect into account, Equation (3) can be extended to Equations (4) and (5), which may approximately predict the combined compressive strength of prisms and cylinders: ...
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