Jordan Journal of Civil Engineering, Volume 11, No. 1, 2017
- 80 - © 2017 JUST. All Rights Reserved.
Investigation of Parameters Affecting Creep Behavior of
Sandy Clay Soil in Laboratory Conditions
Alireza Negahdar 1), Shima Yadegari 2) and Siyab Houshmandi 3)
1) Assistant Professor, University of Mohaghegh Ardebili, Ardebil, Iran. E-Mail: [email protected]
2) MSc Student, University of Mohaghegh Ardebili, Ardebil, Iran. E-Mail: [email protected]
3) PhD Sudent, University of Mohaghegh Ardebili, Ardebil, Iran. E-Mail: [email protected]
ABSTRACT
Investigation of mechanisms and factors influencing the creep behavior of soils is one of the main
requirements in geotechnical engineering. In this paper, one-dimensional single-stage, stepwise and
overloaded-unloaded creep tests are carried out using oedometer apparatus on dried in air and water-saturated
sandy clay soils at different stress levels, in order to investigate parameters affecting the creep behavior, such
as: stress level, stress history and pore water. The creep mechanisms are explained with respect to contacts
and deformation of particles. Data analyses are explained based on relationships between the coefficient of
secondary compression (Cα) and change in void ratio (Δe). Test results showed that in water saturated
samples at low stress level, due to higher sliding ability and lower friction, a large amount of creep
deformation occurs and with increased stress level, the creep rate decreases. But, in dry samples, stress
increment increases creep rate. Further, the creep rate in overloaded-unloaded test is higher than that in
single-stage test, and this in turn accelerates the creep.
KEYWORDS: Creep, One-dimensional creep test, Single-stage test, Stepwise test, Overloaded-
unloaded test.
INTRODUCTION
The compressibility behavior of soils is a main
concern in geotechnical engineering, because of long
settlement of soil due to creep deformation. Therefore,
the study of soil creep behavior is necessary. The creep
deformation indicates the long responses of soil. These
responses include settlement of grounds and movement
of slopes. In other words, creep behavior reflects the
basics of soil deformation.
Creep behavior of soil was first studied at the early
nineteenth century by Terzaghi. The investigations on
the secondary compression have been started after
Terzaghi consolidation theory (1925), which states that
the compression of clay occurs after the dissipation of
pore water pressure. The mechanisms of creep
deformation in soils are extensively discussed by
several researchers from different perspectives.
Experiment results reported by Buisman (1936) and
Taylor (1942) showed the effect of time on the
compressibility of clays. Buisman (1936) presented a
Received on 7/2/2015. Accepted for Publication on 2/6/2015.
Jordan Journal of Civil Engineering, Volume 11, No. 1, 2017
- 81 -
linear behavior of settlements with the logarithm of
time under constant effective stress for clay and peat.
Taylor introduced a time-dependent model to describe
creep behavior of soils, in which primary consolidation
and secondary compression are considered as two
separate processes. Mejia (1988) and Zhang et al.
(2006) realized that in one-dimensional creep tests on
sand at low stress levels, the creep rate of sand
increases with the stress level increment. Leung (1996)
showed that at high stress levels, the creep deformation
of sand is accompanied by grain crushing and that the
amount of crushed grains increases with time. Mitchell
and Xu (2005) explained that the mechanisms of
secondary compression involve particle rearrangement
at edgeface particle contacts due to sliding and
expulsion of pore fluid from micro-pores under
constant effective stress. Meanwhile, Lambe (1958)
stated that the dissipation of pore fluids from the
micro-voids is the reason for secondary compression.
Some authors (Berry and Xu, 1972; De Jong, 1968;
Nakaoka et al., 2004) defined secondary compression
as a local mass transfer of water between macro- and
micro-pores. Budhu (2007) explained that for effective
stress to remain constant during creep stage, the
average number of clay particle contacts must be
constant.
Mineral composition (i.e., mineral content of
particles), stress level, stress history, pore fluid
chemistry, drainage condition and soil structure are all
important parameters in the understanding of creep
behavior of soils. However, the effects of some of these
parameters on sandy clay soils have not been studied
yet. Therefore, this paper focuses on identifying the
effects of stress level, stress history and pore water
chemistry on creep behavior of sandy clay soils.
Moreover, in geotechnical engineering, it is a challenge
to predict what the creep behavior of soil after months
or years will be (Mitchell and Soga, 2005). In a
conventional creep test, a soil sample is usually loaded
to a specific effective stress and allowed to creep at this
specific effective stress. Therefore, it is valuable to
develop a methodology to accelerate creep test.
In the rest of the paper, creep behavior of soils
under one-dimensional consolidation test is explained
and the materials used, as well as the standard
oedometer apparatus and test set up are introduced.
Then, the test program and discussions on the one-
dimensional compression tests of sandy clay are
presented. The test results include the effects of stress
level, stress history and pore water chemistry on creep
behavior of sandy clay, as illustrated. Finally,
conclusions are drawn.
One-Dimensional Creep Behavior of Soils
When soil is subjected to a load, effective stress
increases with time. As a result of dissipation of
induced excess pore water pressure, a primary
consolidation occurs. Significant amount of settlement
occurs during primary consolidation. After the
complete dissipation of the excess pore water pressure,
if the load is continuously maintained on the soil,
further deformation can be observed over a long period
of time, which is known as secondary compression or
creep. Secondary compression is represented by an
index called the coefficient of secondary compression
(Cα). Figure 1 shows a typical void ratio-log time
relation of saturated soil in the one-dimensional
compression test at a sustained stress level. In this
study, Casagrande curve fitting method is used to
determine the time (t100) taken to completely dissipate
the excess pore water pressure at the particular stress
level and the void ratio (eEOP) at the end of primary
consolidation. In Casagrande curve fitting method, two
linear portions, the initial portion of primary
consolidation and that of secondary compression stage,
are plotted and the intersection of both lines is taken as
the end of primary consolidation point. Fig. 1 clearly
shows elastic, primary consolidation and secondary
compression regions. Taylor (1942) introduced a
logarithmic model based on the constant (Cα) concept
to represent secondary compression. This can only
represent the stages with decreasing creep rate. The
relation is expressed as follows:
Investigation of Parameters… Alireza Negahdar, Shima Yadegari and Siyab Houshmandi
- 82 -
(1)
where e is the void ratio, eEOP is the void ratio at the
end of primary consolidation, t is time and t100 is time
at the end of primary consolidation. Cα is the
coefficient of secondary compression.
Figure (1): Typical void ratio-log time relation of saturated soil in 1D compression
The coefficient of secondary compression is one of
the most useful parameters to describe the behavior and
the magnitude of secondary compression and it is less
affected by testing conditions. Coefficient of secondary
compression can be expressed in several ways, but the
following equation is commonly used:
(2)
where ∆e is the change in void ratio during the
secondary compression stage.
Sand Creep at Low Stress Level
Bowman and Soga (2003) conducted a series of
creep tests on Leighton Buzzard sand and Montpellier
sand at low stress levels (50 and 500 kPa). In their
tests, the change in micro-structure of the sands in 1D
creep was investigated using the techniques of resin
injection and optical microscopy of sections. It was
observed that the creep of sandy soils at low stress
levels is due to the rearrangement of grains over time.
Consistent with Bowman and Soga’s observation, in
the triaxial creep tests of Ham River sand, Kuwano and
Jardine (2002) found that creep deformation of sand at
low stress levels (200 and 400 kPa) is caused by the
gradual stabilization of micro-structures.
According to the theory of Mitchell and Soga
(2005), the deformation of sandy soil is induced by
contact deformation, grain sliding and rolling, as well
as grain crushing. The contributions of these factors are
various at different stress levels. At very low stress
levels, the contact deformation dominates the
deformation of the soils and so, the soils behave
elastically and the deformation is reversible.
At low stress levels, grain sliding and rolling
dominate the deformation of the soil, while at high
stress levels, grain crushing dominates the deformation
of the soils. Because the maximum capacity of our
laboratory one-dimensional consolidation test device is
1280 kPa, in this work, creep deformation is studied at
low stress levels.
EXPRIMENTAL STUDIES
The creep behavior of soil has been extensively
investigated in one-dimensional (1D) and triaxial creep
tests. In general, the phenomenon is more pronounced
in clay than in sand. Therefore, most of the existing
100
logEOP
te e C
t
loge
Ct
Jordan Journ
studies focus
are only a f
creep behavi
observations
of creep of sa
Materials U
Sandy c
dimensional
kaolinite cla
40% sand. T
g/cm3. The O
standard. In
dioxide is ar
is 2.652 and
Kaolinite
triclinic crys
density of
Kaolinite is
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which is sm
Details of ka
Figure 2 sho
of the sandy
One-Diment
Overloaded-
Clay Sample
Creep be
nal of Civil Eng
s on the creep
few studies c
ior of sand. I
on soil creep
andy clay soil
sed
clay soil wh
creep tests c
ay with volum
The density o
Ottawa sand
the grain s
round 99.8%.
the grain shap
e clay is com
stals with di
kaolinite org
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use each clay
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Figu
TEST P
tional Sing
-Unloaded C
es
havior of san
ngineering, Vol
behavior of c
conducted to
In this sectio
p are presented
ls.
hich is used
consists of O
metric rates of
of sandy clay
is according
solid, the con
The specific
pe is round.
mposed of pse
ameters of 0
ganic clay i
ding material
y particle has
between 10
nic clay are gi
l grain size di
ure (2): The i
PROGRAM
gle-Stage, S
ompression T
ndy clay soils
lume 11, No. 1,
clay, while the
investigate t
on, experimen
d in the subje
d in the on
Ottawa sand a
f 60% clay a
sample is 2.
to ASTM-C7
ntent of silic
gravity of sa
eudo- hexagon
0.2-10 nm. T
is 2.45 g/cm
l when water
a specific ar
0 and 20 m2
iven in Table
istribution cur
nitial grain s
Stepwise a
Tests on San
is analyzed a
, 2017
- 83 -
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the
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and
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Table 1. C
Density
(LL) L
Plastic
(PI) Pl
tandard Oedo
The purpos
nvestigate the
andy clay soi
sts are carrie
andard. The
edometer ring
f 25mm, a con
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isplacement o
ith an accurac
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ell during the t
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iscussed using
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Characteristic
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iquid Limit
Limit (PL)
astic Index
ometer Appa
se of this e
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ils. All one-
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oedometer
g with a diame
nsolidation ce
guide resin pi
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f the samples
cy of 0.01 mm
e water is add
test.
sandy clay sam
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primary cons
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2.4
5
33.
23.
aratus and Te
experimental
sional creep
dimensional
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apparatus co
eter of 64 mm
ell, two porou
iston. In all te
ometer appar
s is measured
m. To preserve
ded into the
mple
ession index
mpression (Cα)
to determine
solidation (eE
ry consolidati
clay soil
47
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est Setup
study is to
behavior of
consolidation
M D 2435-90
onsists of an
m and a height
us stone disks
ests, the axial
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using LVDT
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consolidation
(Cc) and the
). Casagrande
the void ratio
EOP), the time
ion (t100) and
o
f
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0
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t
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T
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o
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Investigation of Parameters… Alireza Negahdar, Shima Yadegari and Siyab Houshmandi
- 84 -
the coefficient of secondary compression (Cα).
Creep tests are perforemed on samples in three
stress levels as follows: in single stage test, the soil
sample is loaded to a specific stress level and is
allowed to creep at this stress level. In stepwise test,
the soil sample is loaded at different stress levels and is
then allowed to creep. In overloaded-unloaded test, the
soil sample is loaded to σoverload. After the end of
primary consolidation, the sample is unloaded to σcreep
and is allowed to creep at the same stress level (σcreep).
In all tests, the samples with a specified mass (73 g)
are poured into the confining ring. In water-saturated
samples, loads increase from 0 to 50 kPa for a duration
of 16 minutes between two consecutive loads to
complete the dissipation of excess pore water pressure.
16 minute time scale is selected based on the one-
dimensional consolidation tests on water-saturated
sandy clay samples, but in dry samples, the load is
applied in a single increment. According to the
Casagrande curve fitting method, it can be shown that
the water-saturated sandy clay samples have a
thickness of 22 mm, requiring 16 minutes to complete
the primary consolidation under the single drainage
condition. Single stage tests at the stresses of 300, 600
and 1200 kPa are carried out on the dried in air and
water-saturated sandy clay samples. Notice that the
samples under the aforementioned stresses are loaded
for about 120 hours. Stepwise compression creep tests
are carried out on dry and water-saturated sandy clay
samples and samples are subjected to stepwise loads at
different σcreep values of 50, 300, 600 and 1200 kPa for
120 hours.
Overloaded-unloaded compression creep tests are
carried out on water-saturated sandy clay samples to
understand the effect of stress history on creep
behavior of sandy clay. The samples are overloaded to
325, 625 and 1225 kPa, respectively. Then, they are
allowed to complete primary consolidation.
Immediately after the end of primary consolidation, the
samples are unloaded to σcreep of 300, 600 and 1200
kPa, respectively and are allowed to creep. After the
creep stage, the samples are again overloaded to 350,
650 and 1250 kPa, respectively and after the end of
primary consolidation at these stress levels, the
samples are unloaded to σcreep of 300, 600 and 1200kPa,
respectively and are allowed to creep for 120 hours at
these stress levels.
At the beginning of each test, initial void ratios of
sandy clay slurry are determined using the values of
moisture content. The initial values of moisture content
are determined by drying the samples in an oven at
100° C for 24 hours.
RESULTS AND DISCUSSION
The dependency of soil creep rate on the applied
stress level is one of the concerns in most of the
existing studies. However, on one hand, it is observed
that the creep rate of soil increases with the applied
stress level in most of the tests. On the other hand, it
was shown that there is no dependency of creep rate on
the applied stress level in some other tests (i.e., at some
stress levels, creep rate increases with stress level, but
at other stress levels, creep rate decreases with stress
level). The contradictory observations might be caused
by the different strain levels at which the samples are
allowed to creep at different increased or decreased
stress levels.
Relationships between void ratio and time in the
single-stage and stepwise tests at stress levels of 300,
600 and 1200 kPa are shown in Figure 3 and Figure 4,
respectively. Figure 5 and Figure 6 show the
relationships between secondary compression
coefficient (Cα) and stress level (σcreep) of sandy clay
samples in stepwise and single-stage tests, respectively.
There is an approximately non-linear relationship
between Cα and σcreep. In saturated samples with
increasing stress levels, the creep rate decreases, while
in dry samples it increases.
In saturated samples, with increasing stress level
the variatoins of Cα in both single-stage and stepwise
tests are approximately equal, but in dry samples with
increasing duration of loading, the variation of Cα
increases.
Jordan Journ
Figure 7
and time in
water-saturat
and 1200 kP
loading step
compression
Relations
overloaded-u
creep values
Figures (8-10
Test res
unloaded sta
nal of Civil Eng
shows the rel
overloaded-u
ted samples,
Pa. The Figur
s at primary
stages.
ships between
unloaded and
of 300, 600 a
0).
sults of sin
ages are used
Figure (3)satur
Figu
ngineering, Vol
ationships bet
unloaded cree
at stress leve
re clearly sho
consolidation
n void ratio a
d single-stage
and 1200 kPa
ngle-stage an
to study the
): Relationshiated and drie
ure (4): Relati
0
void ratio
lume 11, No. 1,
tween void ra
ep tests for t
els of 300, 6
ows incremen
n and seconda
and time for t
e creep tests
are compared
nd overloade
effect of stre
ips between ved in air samp
ionships betwstress l
0
0.5
1
1
step
Ste
, 2017
- 85 -
atio
the
600
ntal
ary
the
at
d in
ed-
ess
hi
ov
eq
th
sin
ac
sta
tim
H
sh
co
ov
void ratio andples at stress
ween void ratlevels of 50-12
100 100
log time
pwise‐dry sam
pwise‐saturat
istory on sec
verloaded-unlo
qual, but the
he overloaded
ngle-stage te
ccelerates the
age compress
me to reach a
owever, the s
hort period
ompression cr
verloaded-unlo
d time in singlevels of 300
tio and time i200 kPa
00 1000000
e,s
mple
ted sample
ondary comp
oaded and sin
required time
d-unloaded te
est and the
creep. The fi
sion creep test
certain void r
same void rat
of time
reep test. So
oaded test acc
gle-stage tests, 600 and 120
n stepwise te
0
pression. Cα v
ngle stage tes
e for a specifi
est is lower
overloaded-u
igures show t
t, it takes a lo
ratio during th
tio is attained
in overloa
o, it can be
celerates the c
s on water-00 kPa
sts at
values in the
sts are nearly
fic porosity in
than that in
unloaded test
that in single-
ong period of
he creep stage.
d with a very
aded-unloaded
said that the
creep.
e
y
n
n
t
-
f
.
y
d
e
Investigation
n of Paramete
Figure
Figure
Figure (7): w
ers…
e (5): Relation
stress lev
e (6): Relation
stress level
Relationshipwater-saturat
Cα
nship betwee
vel (σcreep) of s
nship betwee
l (σcreep) of san
ps between voted samples a
0
0.005
0.01
0
saturate
Alirez
- 86 -
n secondary
sandy clay sa
n secondary
ndy clay sam
oid ratio and at stress level
500
σcreep
d sample
za Negahdar, S
compression
mples in step
compression
mples in single
time in overlls of 300, 600
1000
p(kPa)
dry samp
Shima Yadega
coefficient (C
pwise tests
coefficient (C
e-stage tests
loaded-unloaand 1200 kP
1500
ple
ari and Siyab
Cα) and
Cα) and
aded tests on Pa
Houshmandi
Jordan Journ
Figure 11
effective axi
samples. Th
index (Cc) o
nal of Civil Eng
1 shows the r
al stress for d
e slope of th
f the dry sam
ngineering, Vol
Figure (8)wa
Figure (9)wa
Figure (10wat
relationship o
dry and satur
he relation; i.
mple and the s
lume 11, No. 1,
): Single-stagater-saturated
): Single-stagater-saturated
0): Single-stagter-saturated
of void ratio-l
rated sandy cl
e., compressi
saturated samp
, 2017
- 87 -
ge and overlod samples at
ge and overlod samples at
ge and overlod samples at σ
log
lay
ion
ple
is
0.
dr
sa
aded-unloadeσcreep of 300 k
aded-unloadeσcreep of 600 k
oaded-unloadσcreep of 1200
calculated a
24168, respec
ry sample (0.9
ample (0.7593
ed tests on kPa
ed tests on kPa
ded tests on
kPa
and found to
ctively. Also,
989) is higher
31). It is furth
o be about 0
the initial voi
r than that of
her noticed th
0.423472 and
id ratio of the
f the saturated
hat pore water
d
e
d
r
Investigation of Parameters… Alireza Negahdar, Shima Yadegari and Siyab Houshmandi
- 88 -
significantly influences the fabric structure of soil,
ratios of micro- and macro-pores, compressibility and
secondary compression coefficient. It is possible to
state that if e0 is high, then Cc is also high. Loading
steps, stress levels, test durations and initial void ratios
of samples are illustrated in Table 2.
Table 2. Results of conducted compression creep test on the samples
Type of test Type of
pore fluid
Sample
Stress (kPa)
Incremental loading steps (kPa) e0 e EOP Cα
Single-stage
Water
SS-WS-300 300 50-100-200-300 0.759 0.4396 0.00755
SS-WS-600 600 50-100-200-400-600 0.759 0.3677 0.004745
SS-WS-1200 1200 50-100-20-40-800-1200 0.759 0.2221 0.002213
Dry-air
SS-AD-300 300 300 0.989 0.9054 0.001576
SS-AD-600 600 600 0.989 0.8048 0.002030
SS-AD-1200 1200 1200 0.989 0.7492 0.002445
Stepwise
Water
SW-WS-50/1200
50 50-creep
0.759
0.5602 0.009893 300 50-100-200-300-creep 0.3379 0.006665
600 50-creep-100-200-300-creep-400-600-creep
0.2657 0.004842
1200 500-creep-100-200-300-creep-400-600-creep-
800-1200creep
0.1924 0.003816
Dry- air
50 50
0.989
0.9373 0.00005008
300 50-creep-300- 0.8904 0.006732
600 50-creep-300-creep-600 0.7053 0.03053
1200 50-creep-300-creep-600-creep-1200
0.6355 0.04903
Overloaded-Unloaded
Water
O-U-WS-300
300 50-100-200-325-300
0.759
0.3327 0.006181 300 50-100-200-350-300 0.3312
O-U-WS-600
600 50-100-200-400-625-600
0.759
0.2543 0.002886
600 50-100-200-400-650-600
0.2533
O-U-WS-
1200
1200 50-100-200-400-800-1225-1200
0.759
0.149 0.0023
1200 50-100-200-400-800-1250-1200
0.149
SS: Single stage DA: Dried in air e0: Initial void ratio SW: Water-saturated WS: Water-saturated Cα: Secondry compression Cofficient O-U: Overloaded-Unloaded eEOP: Void ratio at the end of primary consolidation
Jordan Journ
Single-sta
creep tests a
dried in air a
order to illu
history and p
soils. Finally
At low cr
saturated
in air sam
higher sl
slide ver
makes th
soil stru
decreases
levels, t
incremen
In satura
level, the
stepwise
duration
secondry
Berry, P.L., a
peat.” Geo
nal of Civil Eng
Figure
CONC
age, stepwis
are carried ou
and water-satu
ustrate the ef
pore water on
y, the followin
reep stress lev
sandy clay sa
mples, because
liding ability
ry easily. But
he samples de
ucture becom
s; whereas, in
the creep r
nt.
ated samples,
e variatoins of
tests are ap
of loading d
compression
REFE
and Poskitt, T.J
otechnique, 22
ngineering, Vol
e (11): Relatio
LUSIONS
e and overl
ut at different
urated sandy c
ffects of stre
creep behavio
ng conclusions
vels, the value
amples is high
e in saturated
and lower fr
t, increasing
enser and sma
mes stable a
n dry sample
rate increase
, with increa
f Cα in both s
pproximately
does not affe
n coefficient
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J. (1972). “Th
2 (1), 27-52.
lume 11, No. 1,
onship betwedry an
loaded-unload
stress levels
clay samples,
ess level, stre
or of sandy cl
s are drawn.
e of Cα in wat
her than in dri
samples, due
riction, partic
the stress lev
aller, and so t
and creep ra
es at low stre
es with stre
asing the stre
single-stage a
equal and t
ct the value
t. But, in d
e consolidation
, 2017
- 89 -
een void rationd saturated s
ded
on
in
ess
lay
ter-
ied
e to
les
vel
the
ate
ess
ess
ess
and
the
of
dry
th
str
sa
sa
sa
sig
ra
se
th
n of
Bo
o and log effecsamples
samples, w
the variation
The values
single-stage
required ti
overloaded-
single-stage
accelerates
tests, by ap
rearrangeme
particles oc
creep rate.
There is an
he void ratio
ress. It can be
andy clay sam
andy clay sam
amples is high
gnificantly in
atios of micro
econdary com
hat at higher e0
wman, E.T., a
micro-structu
Soils and Fou
ctive axial str
ith increasing
n of Cα increa
of Cα in the
e tests are app
ime for a
-unloaded tes
e tests, and the
the creep. In o
plying σoverload
ent, further s
ccur, resulting
n approximate
and the log
e said that the
mples is higher
mples, as the
her than that o
nfluences the f
o-and macro-p
mpression coe
0 values, Cc is
and Soga, K.
ural change in
undations, 43 (
ress for
g the duration
ases.
e overloaded-u
proximately e
specific poro
st is lower
e overloaded-
overloaded-un
ded and σcreep t
liding and de
g in an accele
ely linear rela
garithm of ef
e compression
r than that of
e initial void
of dry sample
fabric structur
pores, compr
fficient. It is
also higher.
(2003). “Cree
n dense granul
(4), 107-117.
n of loading,
unloaded and
equal, but the
osity in the
than that in
-unloaded test
nloaded creep
to the sample
eformation of
eration of the
ation between
ffective axial
n index of dry
f the saturated
ratio of dry
es. Pore water
re of the soil,
essibility and
also noticed
ep, ageing and
lar materials.”
,
d
e
e
n
t
p
e
f
e
n
l
y
d
y
r
,
d
d
d
”
Investigation of Parameters… Alireza Negahdar, Shima Yadegari and Siyab Houshmandi
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