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Engineering, Technology & Applied Science Research Vol. 12, No. 6, 2022, 9709-9714 9709 
 

www.etasr.com Ali et al.: Effectiveness of EPS Bead Size and Cement Proportions on the Strength and Deformation of … 

 

Effectiveness of EPS Bead Size and Cement 

Proportions on the Strength and Deformation of 

Light-Weighted Soil 
 

Sharafat Ali 

College of Civil Engineering and Architecture, Henan 

University of Technology, Henan, China 

sharafat@stu.haut.edu.cn 

Feng Yong 

College of Civil Engineering and Architecture, Henan 

University of Technology, Henan, China 

fengyong@haut.edu.cn 

Amjad Hussain Bhutto 

Department of Civil Engineering, Quaid-e-Awam University of 

Engineering, Science and Technology, Nawabshah, Pakistan 

amjadbhutto62@gmail.com 

Farhad Jamil  

College of Civil Engineering and Architecture, Henan 

University of Technology, Henan, China 

jaamfarhad@gmail.com 

Jam Shahzaib Khan 

Department of Civil Engineering, Quaid-e-Awam University of 

Engineering, Science and Technology, Nawabshah, Pakistan 

jskhan@quest.edu.pk 

Riaz Bhanbhro 

Department of Civil Engineering, Quaid-e-Awam University of 

Engineering, Science and Technology, Nawabshah, Pakistan 

riaz@quest.edu.pk 
 

Received: 22 September 2022 | Revised: 3 October 2022 | Accepted: 7 October 2022 

 

Abstract-The current study investigates the deformation and 

strength of Light-Weighted Soil (LWS) comprised of silt, 

Expanded Polystyrene (EPS) beads, cement, and water. The EPS 

bead sizes employed in this study are 4, 5, and 6mm in diameter 

with densities of 0.011, 0.009, and 0.006g/cm
3 

and cement 

concentrations of 10% and 15%. The effects of different EPS 

bead sizes and cement proportions on the mechanical properties 

(strength and deformation) of LWS are evaluated by Unconfined 

Compression Strength (UCS) tests. The findings show that the 

EPS bead sizes significantly impact the strength and 

deformations of the LWS. The smaller the EPS bead size, the 

higher the observed strength, but, on the other hand, bigger EPS 

bead sizes have lower strength and higher ductility. It was also 

revealed that the strength of LSW is entirely dependent on the 

cement concentration. High cement content in the LWS has more 

strength and brittleness, but it is more prone to deformation. The 

cost can be decreased by increasing the EPS bead size, and thus 

the prescription of mixed soil can be enhanced. The use of EPS 

beads with a diameter of 4-6mm is recommended in the 

construction process, especially in backfill for retaining walls. 

Each EPS bead size provides advantages in different context, 

depending on engineering applications and field conditions. 

Keywords-strength and deformation; expanded polystyrene 

beads; unconfined compression test; cement 

I. INTRODUCTION 

Light-Weighted Soil (LWS) comprises of silt, EPS beads, 
cement, and water and it has lower density than the ordinary 

soil. LWS has good independence, hardness, flowability, 
strength, ductility, heat resistance, and water resistance. The 
disposal of EPS is a problem that many cities face. On its own, 
EPS does not harm or contaminate the soil, but because it takes 
hundreds of years to break down, it takes up too much space in 
landfills and reduces the usable area. Its lightweight nature and 
low density have impeded efforts to recycle EPS. Lightweight 
fill materials are utilized in a variety of ways. They can be used 
as fill over poor soils, backfill for retaining walls to minimize 
lateral loads, fill materials for slopes to decrease driving forces, 
and seismic buffers, among other applications. These solutions 
have tremendous engineering merits and can significantly cut 
project costs. 

Authors in [1] simulated the mechanical properties of 
mixed LWS using indoor tests and ABAQUS finite element 
software and assessed its strength characteristics and 
deformation law. Authors in [2] reported that when the size of 
EPS particles was in the range of 1–5 mm, the permeability of 
the water increased as the EPS particle size rose, while the 
UCS of spherical EPS 1–3mm particles was higher than that of 
fractured and flaky EPS particles [2]. EPS soil combinations' 
compressive strength, unit weight, permeability, dynamic 
properties, creep qualities, and water absorption properties 
were examined in [3]. Authors in [4] reported that when the 
size of the EPS beads increases, the unconfined compressive 
strength of LWS is reduced. To reduce project expenses, the 
impact of EPS beads with a particle size bigger than 3mm on 
the shear strength of LWS was explored in [5]. The stress-

Corresponding author: Sharafat Ali



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strain properties of EPS sand mixture specimens were 
investigated using Consolidated Drained (CD) triaxle 
compression trials, and it was revealed that increasing EPS 
content resulted in lower shear strength and increased 
volumetric strain [6]. Authors in [7] reported that the 
compressive strength of LWS decreases as the EPS increases. 
Furthermore, increasing the amount of EPS particles lowers the 
strength of LWS [7, 8]. The deformation of LWS is quick at 
the top of the sample and progressively declines to the bottom, 
according to the cyclic loading test and ABAQUS simulations 
of different blends of EPS and silty soil under varying 
confining pressure and cement contents [9, 10]. When the 
cement mixing ratio is increased, the mixed soil shear strength 
characteristics are comparable to those of general soil 
laboratory uniaxial and triaxle compression tests used to 
determine the relationship between stress and strain strengths. 
The triaxle test findings demonstrate that mixed soil's shear 
strength characteristics are very similar to ordinary soil only 
when the cement mixture is high [8]. Authors in [11] studied 
lightweight fill's unconfined compressive and shear strength 
and stiffness with regard to the cement-to-soil ratio. The 
compression strength of a lightweight blend is reduced by the 
formation of EPS particles. The most likely explanation is that 
the enlarged EPS beads have taken the place of the hydrate. In 
terms of composition, the porosity of the light mixture 
increases and the strength decreases as the percentage of light 
particles grows. When the cement percentage is reduced, the 
lightweight's compressive strength with various EPS sections 
varies only slightly [12]. Authors in [13] conducted triaxle and 
direct shear tests to investigate the shear strength 
characteristics. The soil friction angle was enhanced by 
combining 1mm EPS beads with fly ash. 

The effect of various EPS geofoam densities and geofoam 
cell heights on the compressive strength was studied in [14, 
15]. The density of EPS geofoam improves its compressive 
strength, whereas the compressive strength of EPS geofoam 
falls along with the cell height [16]. Light materials, such as 
EPS particles, are frequently used for mixing in a variety of 
earthworks in order to minimize the composite weight and 
reduce self-weight [15, 16]. The addition of cement 
solidification improves the engineering characteristics of waste 
soil, and the lightweight treatment reduces embankment 
settling [17, 18]. Additionally, the mechanical constitutive 
model of the lightweight mixture may be developed, and 
engineering applications can employ the calculated strengths 
and deformation of these lightweight additions [15, 21–24]. 
EPS is a type of plastic foam with several features, including 
light weight, pressure resistance, durability, and thermal 
insulation. It may be used to make LWS and is frequently 
employed in engineering constructions [20, 21]. Strength and 
deformability features are essential engineering properties of 
solidified soil as filling soil. Thus, focus is given on studying 
the basic mechanisms of artificially modified soil, such as 
compression deformability and shear strength. Many studies on 
LWS with EPS diameters up to 3mm have been reported, 
however, the mechanical properties of the mixed soil with EPS 
with diameters bigger than 3mm mixed with silty soil have yet 
to be thoroughly investigated. In the current investigation, 
laboratory experiments were conducted on silty soil mixed with 

different sizes of EPS beads and cement proportions. This 
study aimed to discover silty soil blends with various EPS bead 
sizes employed in civil engineering applications such as 
backfilling. 

II. MATERIALS AND METHODS 

A. Silty Soil 

Silt soil was collected from the Yellow River Beach, which 
is adjacent to Zhengzhou City, Henan Province, China, as 
shown in Figure 1(a). The particles have a light-yellow color 
and uniform shape, as shown in Figure 1(b). The index 
characteristics and the gradation of silty soil are shown in 
Tables II and III. All particles passed through US standard 
sieve No. 40 (425μm). A total of 89.69% of the particles passed 
through the No. 200 (0.075mm) sieve. The gradation curve of 
silty soil is shown in Figure 1(c). According to the Unified Soil 
Classification System (USCS), this silt is classified as High 
Plasticity silt (MH). Its liquid limit is 52.63, which is greater 
than 50%, and the plasticity index (Ip) is 22.31 (greater than 7), 
and lies below the A-line in the plasticity chart. 

 

(a) 

 

(b) 

 

(c) 

 

Fig. 1.  (a) Yellow river sample collection site, (b) collected sample (silty 
soil), (c) grain size distribution curve. 



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B. EPS Beads 

Lightweight EPS insulation is created from solid 
polystyrene particles. Polystyrene, which makes up 90 to 96% 
of its makeup, is the main gradient. Three different sizes of 
EPS beads, i.e. 4, 5, and 6mm, were employed in this study. 
The beads are round and white. Table I displays the densities 
and sizes of the EPS beads. In [22] images of the EPS beads 
taken using Scanning Electron Microscopy (SEM) can be seen. 

TABLE I.  SIZE OF EPS BEADS AND DENSITIES 

Size of EPS beads (mm) Density (g/cm
3
) 

4mm 0.011 

5mm 0.009 

6mm 0.006 

 

C. Ordinary Portland Cement (OPC) 

The curing agent used in this experiment is 32.5 composite 
OPC, which has a consistent quality, high strength, and quick-
setting characteristics. 

D. Sample Preparation and Mixed Ratio 

The silty soil samples were first dried for 24h at 105°C in 
an oven. The following day, the dried samples were taken from 
the oven and were spread in a tray. They were carefully broken 
into pieces with a rubber hammer so that the structure of the 
silty soil could not be destroyed. Then, the pieces passed 
through a sieve and debris and unwanted materials were 
removed. Then, the cement was mixed into the dry silty soil. 
The silty soil's and cement's particles sizes are similar. 
Ordinary tap water was poured into the silt cement powder and 
they were mixed properly with a spatula for 2min until the 
admixture became homogenous. EPS beads of different sizes 
were put into the cement silt slurry and the admixture was 
mixed again for 5min. The mixture became non-homogenous 
because EPS beads are bigger than silt and cement particles 
[22]. The mixture was then sampled and the light-weighted 
samples were left for curing for 28 days. The specimens were 
ready for testing after the curing period. The mixing ratios are 
shown in Table IV. 

TABLE II.  INDEX PROPERTIES OF SILTY SOIL 

Properties Values 

Density (g/cm
3
) 1.49 

Specific gravity Gs 2.72 

Water content ω 99.5 

Liquid limit wL 52.63 

Plastic limit wp 30.32 

Plasticity index IP 22.31 

Liquidity index IL 3.10 

Volumetric weight (r/KN/m
3
) 14.90 

Pore ratio (e) 2.64 

TABLE III.  SIEVE ANALYSIS 

Particle percentage (%) 

0.425-0.18mm 0.18-0.15mm 0.15-0.075mm 0.075-0.001mm 

1.76 3.19 5.36 89.69 

 

E. Test Plan 

The UCS is commonly used in engineering applications and 
tests. Different mixing ratios were chosen and 3 samples were 
made for each mixing ratio. The sample size dimensions for the 
UCS test were 40mm diameter and 80mm height, with applied 
loading pressures of different stresses. The impact of several 
parameters on the deformation and strength of silt LWS were 
investigated, including EPS particle size, cement blending 
ratios, and EPS content. The ultimate axial strength without 
lateral pressure resistance was measured using unconfined 
compressive strength. A dial gauge and a proving ring are 
typically employed to check the compressive strength, as 
shown in Figure 2(a). The UCS test was performed, and the test 
technique was controlled by strain. The device can directly 
detect the stress and determine the strain based on the sample's 
height change. The axial stress and strain data were obtained 
for 2 cement mixing ratios (10% and 15%) and the effect of 
EPS bead diameter on LWS's deformation and strength 
properties was examined. 

 

(a) 

 

(b) 

 

Fig. 2.  (a) View of the large-size unconfined compression test apparatus, 
(b) specimen after the test. 

III. RESULTS AND DISCUSSION 

A. The Effects of Cement and EPS Bead Size on Stress and 
Strain Curves of Light-Weighted Soil 

The stress-strain curves of samples with various EPS bead 
sizes are shown in Figures 3-4. The stress-strain curve swings 
to the right and downward with increasing cement and EPS 
content. This demonstrates that the production of LWS follows 
a distinct pattern. The samples with 4mm EPS bead, 15% 
cement content, and 1% EPS content had more strength and 
lower ductility than the samples with 5mm and 6mm EPS bead 
size with the same percentage of cement and EPS. Besides, 
EPS beads of bigger sizes have lower shear strength and higher 
ductility. When the mixing ratio is 15% and 10% cement, and 



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1% and 2% EPS, the density of 4mm is higher than that of 
other EPS beads. Due to the small size of the sample, the EPS 
beads and silty particles have close contact with each other, 
which enhances shear strength. On the other hand, the tiny 
holes in the EPS beads of 4mm particles make movement more 
difficult. When the shear stress exceeds the sample's strength, 
the 4mm samples are easily destroyed quickly due to energy 
dissipation, which explains the sample's reduced ductility. 
Furthermore, when the size and composition of EPS beads 
grow more significant, the strength falls, and the ductility 
increases. Moreover, when EPS, a material with lower strength 
and better ductility, substitutes silty soil in blends, the strength 
and ductility of the EPS-silt blends drop. Another factor 
contributing to the weakening of EPS-silty blends is the failure 
of EPS beads to connect with soil particles. 

The stress-strain relationship curve comprises three phases. 
Before reaching the yield stress, the early load period expands 
with the strain, stress rises, and the stress-strain relationship 
gets closer to a linear connection. The linear relationship 
demonstrates that samples in an elastic state with no discernible 
breaks can theoretically be restored. As the load increases in 
the material plastic yield stage, new cracks are formed, and the 
existing cracks are improved. The strain growth rate is greater 
than the stress growth rate as the soil shrinks and expands. The 
stress-strain relationship fits the curve, and the stress rises to its 
maximum value. The third step is the fracture stage, in which 
the stress lowers dramatically, and the curve's slope becomes 
negative. Stress-strain curves of different EPS bead sizes and 
cement mixing are shown in Figures 3-5. 

TABLE IV.  MIXING RATIOS 

Specimen 
Serial 

number 

Cement 

content 

(ac) % 

EPS content 

(ae)% 

EPS 

beads 

Water 

content 

Curing 

time 

LWS 1 

10% 

10% 

10% 

1%, 2% 

1%, 2% 

1%, 2% 

4mm 

5mm 

6mm 

40 

40 

40 

28 

LWS 2 

15% 

15% 

15% 

1%, 2% 

1%, 2% 

1%, 2% 

4mm 

5mm 

6mm 

40 

40 

40 

28 

Silt  99.5 28 

 

B. UCS of LWS and EPS Bead Size 

The UCS comparison for different EPS particle sizes is 
shown in Figure 5. The UCS for the 4mm group is larger for a 
given additive content than it is for the other EPS bead sizes. It 
is evident that when the EPS particle size increases, the UCS of 
EPS-silty blends diminishes. For instance, the UCS of the 4, 5, 
and 6mm groups is 550.30kPa, 320.51kPa, and 221.41kPa 
respectively, when the EPS content is 1% and the cement 
percentage is 15%. As a result, samples with 4mm EPS particle 
size should have a denser microstructure than samples with 
other EPS sizes, resulting in increased strength. Furthermore, 
the UCS difference between the 5mm and 6mm groups is less 
than that between the 4mm and 5mm groups. The soil structure 
of the 4mm group is smaller due to the relatively tinier particle 
size. The soil particles in the 5mm and 6mm groups cannot be 
closely mixed with the EPS particles because the EPS particles 
are substantially more significant than the soil particles. 
Furthermore, the EPS with particle sizes of 5 and 6mm had the 

most significant specific surface area and smooth surface, 
which reduced the effects of occlusion between soil particles, 
resulting in the weakest strength of all groups. The cost can be 
reduced by increasing the EPS size. Structural strength and 
prices drop as the EPS size increases. To reduce cost, practical 
projects should employ EPS beads with a diameter of 4-6mm, 
and material prescription can be adjusted. 

C. Deformation of LWS with Different Cement Proportions 
and EPS Bead Sizes 

LWS's confined stress-strain curve is comparable to other 
traditional soils. As the load and the size of the EPS beads 
grow larger, the modulus of deformation increases. The rate of 
development of light soil increased slowly at first and steadily 
dropped as stress increased, forming a curved dome shape. The 
turning point of the curve represents the strength of soil, 
particularly its ultimate strength. 

 

(a) 

 

(b) 

 

Fig. 3.  15% cement mixed with (a) 1% (b) 2% EPS content. 

The bigger the EPS particle size, the lower the strength of 
the mix. The strength of a mixed soil containing a significant 
amount of cement is superior to that of a mixed soil containing 
less cement. The LWS's strength was improved however, if the 
stress exceeds the mixed soil's strength, the mixed soil's 
structure will eventually disintegrate and collapse. The ratio of 



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EPS particle volume deformation to the total volumetric 
deformation decreased as the EPS particle size rose from 4 to 
6mm, due to the fact that when EPS particle size increases, 
fewer EPS particles are incorporated into the system as a 
whole, which lowers the EPS particle deformation ratio. 

 

(a) 

 

(b) 

 

Fig. 4.  10% cement mixed with (a) 1%, (b) 2% EPS content. 

The number of EPS particles in a structure significantly 
impacts structural deformation. With more EPS content in the 
sample, the particular surface area grows greater, reducing the 
sample's consolidation strength. Under different stress 
conditions, increased EPS sizes dramatically increase soil 
deformation. The structural deformation of lightweight silt soil 
is significantly affected by the added EPS particles. The 
experiment revealed that the added EPS particles of various 
sizes significantly impact the silt LWS's shear strength and 
deformation characteristics. The strength and deformation 
variation characteristics of LWS with varied EPS bead sizes are 
diverse. For instance, the samples with 15% cement and 1% 
EPS contents of 4mm size have the highest shear strength and 
the lowest ductility. On the other hand, the samples with 10% 
cement and 2% EPS of 6mm have the lowest shear strength and 
the highest ductility as shown in Figures 3 and 4, and they all 
display multi-stage changes. The failure strain value increased 
dramatically as the size and quantity of the EPS particle content 
increased, the plastic zone expanded, but the strength 
decreased. Additionally, the changing rate of stress intensity 
decreased as the EPS size increased, resulting in the extension 
of the elastoplastic range. 

(a) 

 

(b) 

 

Fig. 5.  Unconfined compressive strength and EPS beads size of (a) 15% 
and (b) 10% cement with 1% and 2% EPS content. 

According to the analysis of Figures 3-5, cement 
concentration has little impact on the failure strain of light silt 
soil, and the strain value difference between them at different 
mixing ratios is small. As a result, the effect of cement amount 
on the strain value of light silt soil can be ignored within a 
limited range of cement contents. The strength of the 
cementation created between the EPS particles and the 
consolidated soil in the lightweight silt soil is quite robust 
under high cement content conditions. Moreover, when the 
stress level rises, a brittle fracture is more likely to occur. 

IV. CONCLUSIONS 

Unconfined Compressive Strength (UCS) test was utilized 
in this study to investigate the strength and deformation 
characteristics of Light Weighted Soil (LWS) comprised of 
EPS beads of various sizes, silty soil, cement, and water. From 
the experimental results, the following conclusions can be 
drawn: 

 As the EPS particle size rises, the strength of LWS does 
not. EPS beads easily adhere to silty particles to create an 
elastic body in the case of 4mm EPS size because there are 
more pores between the particles and they are closer in size. 
The silty particles and EPS beads are in close contact due to 
their small diameter, thus increasing shear strength.  

 The engineering features of EPS-silty blends, such as 
ductility and deformation, increase with high loads and EPS 



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size. When the EPS particle size approaches 6mm, the UCS 
results drop. The UCS of EPS-silt mixes with 4mm EPS 
size is greater than all the other groups for a given additive 
concentration, but their ductility is lower. 

 The dome shape of LWS has confined stress-strain relation 
curves that differ from typically modified silt, indicating 
that LWS is structural soil. When stress is less than 
strength, very minor deformation occurs. However, the soil 
structure rapidly degrades and collapses when stress 
exceeds strength. 

 The cost can be reduced by using higher EPS bead size. 
Strength and price drop as the EPS size increases. To save 
money, practical projects like wall retaining should employ 
EPS beads with a diameter of 4 to 6mm, while material 
prescription can be adjusted. 

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