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T R
190
o
00
'
t
. . -
fachntcd
Report
190
C R E E P
O F F R O Z E N
S A N D S
by
Francis
H .
Sayles
September
1968
CONDUCTED
ro*
CORPS
OF ENGINEERS,
U.S.
A R MY
v
U.S.
A R M Y
M A T E R I E L
C O M M A N D
TERRESTRIAL
S C I E N C E S
C E N T E R
C O L O
R E G I O N S
R E S E A R C H
iE N G I N E E R I N G L A B O R A T O R Y
H A N O V E R , N E W
H A M P S H I R E
THIS DOCUMENT
HA«
SEEN PPROVCO
C OW
PUBLIC
NLf4M
«NO
SALE;
irs
DiJTHIOUTIOM »
UNLIMI
TED.
C
.
A
N
H
O
,
~ ®mmmm®
0
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CRREL,
Technical R e p o r t
1 9 0
C R E E P
O F
F R O Z E N
S A ND S
by
Francis H . Scyles
September
1 9 68
CONDUCTCD
FOP
CORPS
OF FMGINEfcRS,
U.S.
ARMY
BY
U.S.
ARMY
MATERIEL
COMMAND
TERRESTRIAL
SCIENCES
CENTER
C O L O R E G I O N S
R E S E A R C H
i
E N G I N E E R I N G
L AB O R AT O R Y
HANOVER, N E W
HAMPSHIRE
THIS
DOCUMfcNT
HAS
»EEK
APPROVED
FOR PUBLIC ELEASE
AND
SMLKJ
T« DISTRIBUTION S UNLIMITED.
.-K**,~r—i /..-*....* .«^iifci
e**-viifM
:-*A;J>
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PREFACE
Authority or
he
nvestigation reported
herein
s contained n
FY
961
Instructions
and
Outline, Military
Construction nvestigations,
Engineering
Criteria and
nvestigations
and Studies,
Investigation
of
Arctic Construction,
Creep of
Frozen
Soils.
This tudy
was onducted
or
he
Engineering Division, Directorate
of
Military Construction,
Office,
Chief
of Engineers, The program was ad-
ministered
by
he
Civil
Engineering
Branch,
Mr.
T.B.
Pringle,
Chief.
Mr. Francis
H.
Sayles,
Research Civil Engineer, Applied Research
Branch
carried
out he tudy
and
prepared
his
eport.
The
nvestigation
was
nder
he
general
direction
of Mr. K.A. Linell, Chief, Experimental
Engineering
Division,
and he mmediate direction of
Mr.
Albert
F. Wuori,
Chief, Applied
Research
Branch, Cold
Regions
Research and
Engineering
Laboratory
CRREL),
U.S.
Army
Terrestrial
Sciences
Center USA
TSC).
Personnel assisting
n
he
nvestigation
were SP Richard
Putnam and
SP
Richard O. Lunde.
Mr.
Robert
Bonnett assisted n he
esting.
This
eport
has
been
critically
eviewed
by
Professor
Clyde E.
Kesler
of
he University
of Illinois
and y
Mr. Frederick
. Sänger
of
USA TSC.
The author wishes o hank he eviewers
and
Dr. A. Assur,
Chief
Scientist,
USA
TSC,
for heir
constructive
uggestions.
Lieutenant
Colonel
ohn
E. Wagner
was
Commanding
Officer
/Director of
the
U.S. Army Terrestrial Sciences Center uring
he
publication of his e-
port and Mr.
W. K, Boyd
was
Chief Engineer.
USA
TSC s
esearch
activity of
he Army
Materiel
Command.
CITATION
OF
COMMERCIAL
PRODUCTS
S FOR
NFORMATION
ONLY
AND DOES NOT
CONSTITUTE
OFFICIAL ENDORSEMENT OR
APPROVAL.
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Ill
CONTENTS
Page
Preface
Conversion
able
-
Summary i
Introduction
Definition of
erms
Review
x heory-
Testing
Apparatus
Materials 1
Preparation
and
reezing
of est pecimens 2
Creep
and trength
esting
procedure
4
Test
esults
4
Discussion--
3
Conclusions
6
Literature cited
7
Appendix
A. 9
ILLUSTRATIONS
Figure
1.
echanical
heological
models
2.
iew
of
four
reezing
binets
nside
40F
cold
oom
3.
ront of reezing cabinet
4. reezing
mold
5.
reezing
mold
charged
with
pecimens
eing
de-aired and
saturated -*
6.
neumatically
actuated hydraulic press
7.
onstant
tress
apparatus
8. ever-type
press
with
motorized moving ulcrum
0
9.
nconfined
compression
chamber
0
10. radation
curve,
Manchester
ine
and 2
11.
ypical Ottawa and
pecimens fter
esting
5
12. ypical Manchester ine and
pecimens
after
esting
6
13. ypical ce pecimens fter esting
7
14.
reep
ests,
Ottawa and
20-30),
1
5F
8
15.
reep ests, Manchester ine and, 15F 8
16.
reep est
on
ce
n
unconfined
ompression 9
17.
ime
vs
train,
Ottawa
and
20-30),
1 5F 9
18.
ime
s
train, Ottawa and 20-30),
25F-
0
19.
ime
s
train,
Ottawa and
20-30),
29F
0
20. ime
s
train,
Ottawa
and
20-30), 31F
1
21.
ime
s
train,
Manchester
ine
and,
15F 1
22.
ime
s
train,
Manchester ine
and, 25F 2
23.
ime
s
train,
Manchester
ine and,
29F
2
24. ime
s train, Manchester ine
and,
">1F
3
25. ebound and
classical
creep
curves,
Ottawa
and
4
26.
ercent of
strain
at start
of
ertiary
creep,
Manchester
ine
sand 8
27.
reep
ate
and ime, Ottawa
and 20-30), 31F-- 8
28.
reep ate and eciprocal
of
ime,
Ottawa
and,
31F
9
29.
reep ate and eciprocal
of
ime,
Manchester
ine
and,
15F
9
*£i
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CONTENTS Cont'd)
Figure age
30.
reep
ate
nri
eciprocal
of
ime,
Manchester
ine and
at
various
emperatures 0
31.
tress, strain
and
ime,
31F 2
32.
ime,
factor
A, and
emperature
2
33.
actor and
emperature 3
34.
train
and
ime
comparative
curves, 15F 4
35. actor M nd tress 4
36.
train
and
ime,
15F
5
37.
train ate
at
ime
r,
and
tress 6
38.
emperature nd stress
or
unit
train
ate at
r
6
39.
ltimate
trength
and
ime
o
ailure,
Ottawa and
9
40. ltimate
trength
and ime o ailu/e, Manchester fine sand
- 9
41. ime
and
eciprocal of ultimate tress,
Manchester fine sand
1
42.
ime
and
eciprocal
of ultimate tress,
Ottawa
and
1
43. trength or
various conditions,
Ottawa
and
3
44.
trength or various conditions, Manchester
ine
and
3
45.
emperature, ß and
parameters
4
TABLES
Table
I.
Types
of deformations rom
ebounded
creep
ests,
frozen
Ottawa and 5
II. Strain components nd strain
at
critical points under nter-
mediate
tresses
26
III.
alue of
m
n
Vialov's
train
quation 31
IV. onstants or Vialov's train
quation
31
V.
Constants or train quation
37
VI. Long-term
unconfined
compressive trength 40
VII.
Constants
or q as determined rom Figures 1
and 2 40
VIII.
Percent of
nstantaneous
trength
oss
fter
application
of *
stress
2
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I
ONVERSION
TABLE
9
in. 5.4
ft
0.48
Multiply y o obtain
°F
/9(°F-32)
C
r
K
mm
cm
sq
n.
.
4
5
16
q
cm
Ib/sq
n.
.070307
g/sq
cm
cu t
.0283168 u m
lb .45359237 g
qt
.94633
iter
,
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SUMMARY
Unconf
ned
compressive
cieep trengths
na
strains
were
measured
for
rozen aturated Ottawa
and
20-30)
and
Manchester ine
and.
The
creep
ests were conducted
at
approximate
stress evels f
0,
35,
20
and
5%
of he conventional
ur.confined
compressive trength.
Testing empera-
tures
were 5 , 25, 29
and 1F.
It
was
ound
hat
he
unconfined
compres-
sive
creep
trength
of
he
rozen
and
an
e
predicted
using
Vialov's
strength ormula;
hat creep
strain
can
e
predicted
using wo
hort-term,
t 4 »
high-stress-level creep ests using «
=
ij
1/K ̂
predicted
using
. < * «
£[e/öo>+
if
+
€
that
oca."
train
can e
and
hat
or tresses
below he ong-term
trength,
the
strain ate
s
directly
proportional o
the
eciprocal
of ime during tress
action
until
complete tabilization
occurs,
(t = train ate
nour
after tress
s
pplied;
ime;
4 /
M-l)/M,
where M r
'
w
und
w
s a constant
or
ach
material
0;
emperature
n
degrees below reezing
point of
01
= tress at
water;
9
0
=
a
constant eference
alue
of ; a and Kare onstants;
* initial
nstantaneous
train.)
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• CREEP
OF FROZEN SANDS
by
Francis H. Sayles
INTRODUCTION
The
design
of
table
tructures
n
permafrost equires knowledge of
the trength
and deformation
characteristics
of
rozen
oil.
Published mat-
erial
on he trength and deformation properties of
rozen
oil prior o 952
was f Russian
origin
and was generally
ncomplete
as
o
description of oils
and esting
procedures.
In 952 he ormer Arctic Construction and
Frost
Effects
Laboratory
ACFEL)*
of
he
.
S.
Army Engineer
Division,
New
Eng-
land,
published
eport
ummarizing
xperimental data
obtained
p
o
hat
time, including he
esults of
heir
nvestigations
ACFEL, 1952).
Since 952
the Russians,
notably
Tsytovich
and
Vialov,
have
published ather omplete
experimental
data
on
he
trength
and
deformation
properties
f
ome naturally
frozen
ilts
nd clays Tsytovich, 1954, 1958; Vialov,
1959;
Vialov
^
al.,
1962; Vialov
and Tsytovich,
1955).
In addition,
they
ummarized nd
ormu-
lated
heories nd
empirical
eqjations
elating trength and deformation of
frozen
oils
o
he
oil
emperature and duration
of he applied oad. Sänger
and Kaplar
1963)
published
deformation data and mpirical quations elat-
ing unconfined ompressive deformation nd ate f
deformation
o
applied
stress
nd emperature. This
nvestigation
ncluded
variety
of
oils,
tested
at
various
emperatures rom
about
8F
to
2F. Each
creep
est
was
imited
to
0
hours duration.
The
purpose
of
his
nvestigation
s
o
valuate
he
nfluence
of
empera-
ture
and tress on creep
and ong-term trength of aturated
rozen
ands,
and o provide
data
or
design
n
rozen soils.
This eport
with
ts
ppendix
presents
the completed
results
of the un-
confined
compression
ests
performed on
saturated Ottawa and
20-30) and
Manchester ine
and.
This
s
only he irst
phase
of he urrent nvestiga-
tion
which ncludes: (1) unconfined ompression creep ests
n
Ottawa and,
Manchester
ine
and, New
Hampshire
ilt and clay
and
2)
riaxial
creep
testing of
Ottawa
and.
DEFINITION OF
TERMS
Instantaneous
trength
s
he
maximum
tress determined y oading he
test
pecimen
at
constant
train
ate
of
0.
033/min.
Long-term tren
gth
s
he
maximum
tress
hat
he rozen
oil
can
with-
stand ndefinitely and xhibit
ither
a
zero or
continuously
decreasing
strain
ate with irne.
*
ACFEL was merged with he ormer U.S. Army
Snow,
Ice and Permafrost
P.esearch Establishment SIPRE)
n
961 o orm he U.S.
Army
Cold Regions
Research
nd Engineering
Laboratory.
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9/63
L
REEP
OF
FROZEN
SANDS
Coti
v
e.itional
tra
i
n s he
xiai deformation
divided y
he
original
ength
of
he pecimen
e
c
AL/L
0
)
True train is
he
xial
deformation
t given
nstant of
ime
divided y he
actual
pecimen ength t ha' ime ir erms of
conventional
train,
e
t
ln(l/(l-e
c
)].
Incipient ailure
of a
est
pecimen occurs when he train ate tarts o n-
crease
with
ime start
f ertiary creep),
after period of
minimum
strain ate point
, Fig.
Z5).
Failure
of compression est
pecimen
of
rozen and means continuous
loss
f esistance o oading,
after
eaching
peak.
It occurs
y
either
an
abrupt
brittle-type
racture
or
plastic
low
accompanied
by
issur-
ing nd often nding
n
upture of
he
pecimen.
Elastic
def
ormation
disappears ntirely
upon elease
of
he
tress
which
caused t.
Delayed
lastic
deformation
is
lastic
deformation
hat equires
noticeable
period
of
ime
o occur
r
ecover.
Theoretically,
elastic
deformation
velocities
lower
han
he
peed
of
pund
are
delayed.
In
his
eport
delayed
lastic
ecovery
s lower
han
he
peed
f
ound periods y
hours
nd days.
Viscous
deformation
s
n
rreversible
deformation
n
which
he ate
of de-
formation
depends
pon he
pplied tress.
Plastic
deformation
s
n
rreversible
deformation
which
s
ndependent
of
time.
Stress atio,
Applied
constant
tress
'"instantaneous"
trength
REVIEW OF THEORY
Deformation
Vialov and
Tsytovich 1955)
xplain
he
physical
process f creep
n
rozen
soil
y
considering he
ondition
of
applying
constant
ead
o
a
rozen
oil
mass. This oad
oncentrates
he tress
between
he oil particles t heir
points
f contact
with
he
ce,
causing
pressure-melting
of
he
ce.
Differences
in water urface
tensions
re
produced
and he
unfrozen water moves o e-
gions
f ower tress
where t
efreezes.
The
process
f ce
melting and water
movement
s
ccompanied
y
a
breakdown
f
he
ce
and
structural
onds
f
he
soil
grains,
the plastic
deformation
of
he
pore
ce and eadjustment
n he
particle
rrangement, the esult
f which s
he
ime-dependent
deformation
phenomenon of creep. This
tructural
deformation
eads o a
denser
packing
of he oil particles, which
n
urn causes trengthening of he material due
to he
ncreased number
f irm
ontacts between
oil
grains
nd
ence
an
n-
crease
n
nternal
riction
etween grains ACFEL, 195.2) .
During
his
process
there s
lso
weakening
f
he
tructural
cohesion
and
possibly
n
n-
crease
n
he
mount
f unfrozen
water
n he
rozen oil particularly
n
ine-
grained
oils). All
of
his
ction
s ime-dependent.
If
he
applied
oad
does
not
xceed
he
ong-teim
trength f
he
rozen
oil, then he weakening
process s ompensated
y
he
trengthening; the
deformation
s
amped,
i.e.,
the
ate
of deformation
decreases with
im
. However,
if
he
applied oad
x-
ceeds he
rozen oil
ong-term
trength,
the breakdown of
nternal
bonds s
not
completely compensated
y
he
trengthening
process
nd
hen
he
ate
f
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8/18/2019 creep of sand
10/63
CREEP
OF
FROZEN SANDS
deformation ncreases with
ime,
resulting
n
undamped
deformation which
eventually
develops
nto
plastic low
nd
nds
n
breakdown f
he
rozen
soil
tructure.
Experiments* how
that
he deformation characteristics
f
frozen
oil
are imilar o hose depicted
y
he classical
creep
curve or metals Fig.
1). As . n id
n
tudying hese
deformation
characteristics, Vialov nd
others .
ve proposed mechanical heological models.
In
Figure , Vialov's
model 1959) with the various omponents labeled, depicts he irst nd
second tages
of creep,
but
does
not
nclude
he nitial plasfic deforma-
tion or hird tage f creep, i. e. the visco-plastic low
preceding
complete
collapse
f
he
material
tructure.
RUPTURE
DEFORMATION
PLASTIC
D
ELASTIC®
TIME
CLASSICAL
CREEP C U R V E
If
' S P R I N G
Elastic d*f
;
I I
l i . i l
lill I
IIOH
< * >
km
(£) VISCOUS, Dojhpot
^BLOCKING
, /
DEVICE*
I
*
Newtonian iquid
® Spnng-dasnpot Voiot-K«lvin ltmtnl)
Visco«loitic
ef
*
Blo^hmq ' ;« lid» whyn ore«
icesds
a
imit
L
'4)
V I S C O US ,
Daihpot
®VISCOPLAST
iZA
M E C H
/UX
L
M O D E L
Vltlf
Viulov
A
MODIFIED
VIALOV
MECHANICAL MODEL
Figure . Mechanical
heological
models.
*
Vialov,
1962, Fig. 27, Translation page Oi)
for ilt nd clay nd
Figures
14
and
5
f
this
eport
for
aturated
Ottawa.
*nd
and Manchester
fine and.
*W»»JM
m*mwMwao
-
8/18/2019 creep of sand
11/63
4 REEP OF FROZEN SANDS
In
Figure
1
Vialov's model s modified o
nclude
plastic
characteristics.
The arious lements n he
model re abeled o
correspond
o
he ppro-
priate
ection
f he lassical reep curve.
In he
modified
model, the nitial
plastic
deformation s
represented y
rictional
lide.
An
ir
ap
this ap
may ave inite
alue
r e ero) between he
slide nd he Voigt lement per-
mits displacement
o ake
place
efore viscoelastic movement
begins. If
he
load
xceeds he
yield
point
f
he
material,
the
lide will mo'e
o educe
r
close he
gep, thus producing
nstantaneous plastic eformation. When
he
load s
emoved,
this part f
he deformation s ot ecovered. In
ome
n-
stances
elastic
deformation may
ccur without
eaching he
plastic
imit
upon
loading,
thus
producing
purely elastic
ei
or
mation.
The
iscoelastic lement
is he Voigt or
Kelvin lement which contributes delayed elastic ffect. The
dashpot
f element epresents he
iscous portion
f
he
curve.
The fric-
tion lement blocking device)
equires he ctivating orce o each
certain
magnitude
before
plastic
nd
iscous
deformation
an
ccur. To epresent
viscoplastic
low
a
pecially
haped dashpot s hown
o
permit
n ncreasing
rate f
low
as he material pproaches ailure. The
modified
model
s
oo
complicated
or practical numerical nalysis
nd
s merely hown o llus-
trate
he
eformation
omponents.
Streng'
Strength
of
rozen
oils,
as with nfrozen
ohesive oils, depends
pon
both
he ohesion
and
he
nternal
riction
f he omponent
materials. In ro-
zen oils he ohesion
component
according
o Vialov and Tsytovich l°55)
can e
attributed
o:
(1)
he molecular
orces
f
attraction
between
olid
particles;
(2)
physical
r
chemical
cementing
f
particles
together;
ard
(3)
cementing
he oil particle
by ce ormation n he oil
voids.
Cementing
by
ce
s he result f
he onds
between
he
c?
crystals nd he
oil
particles
even hough
he
oil particles
aie
urrounded y ilm f unfrozen vater.
This nfrozen water s nder
he
nfluence f
molecular orces f
he oil
particles
nd
t
eems
possible
hat
he trongly attached
water
molecules re
capable
f
ransmitting normal
nd
hear orces
between
olid
ce
and olid
grains. The ce
cohesion
depends pon
he mount
f
ce,
the
trength
of he
ice, and he rea of
ce
n ontact with he
oil
particles,
each f
which de-
pends upon
he
oil
emperature.
The nternal riction
depends
n he
oil
grain
arrangement,
sizes,
distribution,
shape, and
n
he
number
f grain-to-
grain
contacts.
It
s
mphasized hat
ce
cohesion
s
he dominant trength
factor in
frozen
oil
even
though
internal f riet i o n
becomes
ignificant
in
dense
sands.
TESTING
1121
The
unconfined
compression
test
was chosen
as
the primary
test for
this inves-
tigation
because
o f
its simpli-.ity
and
its
suitability
for
adoption as ield
aboratory
test.
In ddition
o he
compression est, sonic ests
nd
ball penetration ests
were
performed.
The onic
ests
were
xploratory
n
nature with he primary
purpose
f esting
quipment and
developing
echniques.
Both
ests
howed
some
promise
but he
allotted
ime did
not permit
continuance until echniques
could e
perfected.
-
8/18/2019 creep of sand
12/63
CREEP OF
FROZEN
SANDS
APPARATUS
Freezing
aci
l
ities
Soil
nd
ce
pecimens
were
rozen n
reezing
cabine'.s
mounted n
USA CRREL walk-in ype cold nnm maintained t 40F+1F. The rees
ing
cabinets used in
this project
(Fig.
2, 3)
were
quipped with
hinged
covers
o n
op and
hermal-pane window
n he
ront.
Insulation vas provided
n
the ides nd over. The
bottom
f he abinet consisted f r. xpanded
metal grill
allowing he
bottom
f
he
pecimens
o
be
xposed
o he
ÜF
"oom
emperature
during reezing
while he ops
f
he
pecimens
were
subjected
o
he
desired
reezing
emperature.
The
reezing
cabinet
was
cooled
y coils mounted n ts ides nd
back
wall,
from
3
n. above
he
bottom o
he
op
of
he cabinets.
The abinet emperature could be controlled o wituin
0.
5F y means
of
heating
coils
ocated
n
he air tream f
he
air circulation an. The
heat upplied
was egulated
y
a
Bayley emperature controller
Model
22.
De-aired
water was upplied
o he
bottom
of he
pecimens
uring
reezing
by
means
of
an
external
eservoir.
Figure . View of our
reezing
cabinets
nside
40F
cold
oom.
••-';■ -•< }«j£.
-
8/18/2019 creep of sand
13/63
REEP OF ROZEN ANDS
Figure . Front
of
reezing
cabinet showing
reezing
mold
in position
with
hermocouple eads o
he
center pecimen.
The
bimetallic hermal-regulator s hown
o
ight
of view-
ing
window.
Freezing m
old
The reezing mold Fig. 4,
5 )
consisted of Plexiglas block 7 /4 n.
square
and
n.
thick,
through
which
5
3-in.
diam holes
were
bored.
Each
hole
was itted with
plit
leeve
aving
wall hickness of
about
/8 n.
to
permit pecimen jection rom he mold without ubjecting he pecimen
to he jection orce. The
op
and bottom of he
mold
were
overed
by /2-in.
thick
aluminum
plates ealed o he
mold
block
with /2-in. soft ubber gas-
kets.
When he
reezing mold
was
ssembled,
an
xpanded metal creen with
1/2x1
4-in.
openings,
a
200-mesh
bronze creen
and
muslin
mat
were
placed
t he
op
and
ottom f
he
mold
block o
etain
he unfrozen
oil
peci-
mens
n he
cylinders
nd
o act
as
ilter.
Loading quipment
Three ypes of oading devices were used n he esting program o accom-
modate
he
different
trength nd
eformation
haracteristics of
he
rozen
sands.
Tests o determine
he
nstantaneous ompressive trength and hort-term
creep trength
of
rozen
oils with
elatively
high esistance
were performed
in
20,
00U-lb
apacity air-actua^d
ydraulic
press
Fig.
6).
Loads
were
applied
o he est pecimen y means
f
an
unconfined est chamber placed n
the
press.
The
press s apable of head movement ates up
o
8 n.
/min.
For
reep
ests,
vibration-free
constant
oads an
be
maintained
y
he
hy-
draulic press or
xtended
periods i ime within of
he applied oad
or
loads
greater
han 000 b.
-
8/18/2019 creep of sand
14/63
CREEP
OF FROZEN
SANDS
Figure
a. Empty
reezing
mold howing
projecting
plit
i
eeves.
Figure
4b. Fr
_.?zing mold illed
with dry and howing
plit
sleeves. Mold
s
upported
n
jection
rame.
-
8/18/2019 creep of sand
15/63
CREEP OF
FROZEN
SANDS
Figure
. Freezing
mold
charged
with
pecimens being de-
aired
and
aturated.
Figure
. Pneumatically actuated ydraulic press.
-
8/18/2019 creep of sand
16/63
CREEP
OF
FROZEN
SANDS
Creep
ests n
which arge
deforma-
tion
ccurs were
performed
on
a
con-
stant
tress
press
capacity
4000
b)(Fig.
7).
This
press eatures
programming
cam hat
maintains onstant axial stress
to
within % of
applied
tress
n the est
specimen
during
deformation.
The
oad-
programming
s
based
on
he
assump-
tions
hat
he
cross-sectional
area
of
he
specimen
emains
niform
hroughout
ts
length
during
deformation,
and
hat he
volume
emains onstant
hroughout
he
test.
Long-term
reep ests esulting
n
small
deformation
were
performed n
a
lever-type press capacity 2000 b) Fig.
8). As he ample deforms,
the
eight
of
he ulcrum is djusted
to
maintain
he
loading
level
approximately
horizontal.
Test
chamber
The unconfined compression chamber
in
he
hydraulic press Fig.
9)
s basically
a
rame
with
a
eveling
base
pon
which
the est
pecimen ests. The oading
pis-
ton mounted n ecirculating ball
bushings
provides base plate or he oad measur-
ing
ransducer.
This
ransducer
s
n
direct
contact
with
he
op
spherical sur-
face
of he est
pecimen
nd
cap.
This
arrangement permits
measurement
of
he
load applied
o he
est pecimen
at
ny
time.
Average
deformations
re
meas-
ured
by
wo
inear
motion
potentiometers
mounted
diametrically
opposite
ach
other n
he
Circumference f
he oad ransducer.
Load
and
deformation
measurements
All oads
pplied
o
est pecimens
n
he
hydraulic nd
onstant
tress
presses were
measured
with
Baldwin-Lima-Hamilton
oad
cells aving
appro-
priate
oad
anges.
Hydraulic
press
oads
were
measured
using
he
oad
ells
with
eadout
o n
one channel
of
Leeds
nd
Northrup
Azar
G-type
X-X
ecorder.
After
calibration,
loads
were
measured
continuously
o
within
. 0% of
he
applied
load.
Average axial deformations
of
est
pecimens n
he
hydraulic
press were
measured using wo carbon-strip, infinite-resolution, resistance-type inear-
motion
potentiometi
rs
mounted diametrically
opposite ach
other
on he oad
cell see Fig.
9), and
movements were
ecorded
on
one
channel
of
he
and
recorder. Using
calibration
charts, deformations were
measured
o
within
0.0025 n. for movements ess han 0. 25 n. and .005 n.
for
movements
greater
han
0.25
n.
Figure
.
Constant
stress ppa-
ratus howing programming cam
and
oad measuring ystem.
fc&Sä***^
-
8/18/2019 creep of sand
17/63
CREEP
OF
FROZEN
SANDS
a
c
o
d£
E
o
u
-
o
u
c
-a
ID
i
o
El
c
3 o
E X
_e
C
>
O
£
-a
o
N
0
0
£
*
m
in
a;
-,
I- ,
a
a
>
a -
3
M
-
8/18/2019 creep of sand
18/63
CREEP
OF
ROZEN
SANDS
i
Cons
tant-
str
e
ss-a
p
paratus oads
were
measured
with
he oad
ell
nd
read manually using B-L-H ype
N
portable train ndicator.
Loads
were
determined ccurately
o
within
.3% f he
pplied
oad.
Deformations were
measured sing
dial
ndicators
with
1/10,000
n. gradations
nd
ensitivity
of 2/100,000
n.
(See Figure or
arrangement
o f oad ell nd dial
indica-
tors.
)
Constant
oad
ever-type-press oads were determined y omputing
he
hanger weights sing he
ever
arm
ratio. The
oad
pplied o
ach
pecimen
was
hecked y placing
a
oad cell
n
he pecimen est space nd
reading
the
oad
with
he
anger
weights n
place.
Deformations were measured
using
he
ame
ype
o f
extensometer
s
was
sed
in
he
onstant
tress
appa-
ratus
see
Fig.
7).
Temperature
control
Test emperatures
f
25F and
ower
n
he walk-in
old
room
were
on-
trolled
o within ±1F. To damp emperature luctuations o
ess han ±0. ÜF ,
tests
were conducted
n
nclosures
onstructed
f
n.
thick
igid ype n-
sulation
Sty
rofoam).
Test
emperatures
bove
25F
were
controlled y heating and irculating
air within he
nsulated
est nclosures. Each est
pecimen
was oused n
split Lucite ylinder
o
reduce
temperature
lue
tu
a
t'ons f
he air surrounding
it.
Heat
was
upplied
y
ight ulbs
mounted n
he
an
air-stream.
The em-
perature
was
egulated
y
mercury-column-type hermoregulator which
activated
elay
o upply
heat upon
demand.
Air emperatures
within
he
Lucite
nclosures
urrounding
he est peci-
men
were held constant
well
within
±0.
IF
of
he desired
emperature.
Tempera
t
u
r
e
measurem
ent
s
Temperatures
5F
nd ower were
measured
o he nearest
. SF
with
mercury hermometer placed within
he
nsulated nclosures.
Inside he
Lucite
nclosure hermistor ensed
he emperature f
he air urrounding
the
est
pecimen
and
the
readings
v.ere
recorded
very
1.2S
min
on
I
l~
point nd
ype ecorder,
to he
nearest
0.
IF Test
emperatures
bove
25F
were
measured o
within I). F
sing
he
ame
ensing and recording
y.
tern
ut
with
ncreased
ensitivity.
Thermistor
eadings were hecked aily
using manually operated
Wheatstor.e
bridge. Cold-room
emperatures
out-
side
f
nclosures)
were
recorded
ontinuously.
MATERIALS
Ottawa and
20-30)
and
Manchester
inti
and
were
ested.
Ottawa
sand
represents nearly dealized granular soil.
Manchester ine sand
i. ,
a natu-
ral
sand
with
uite niform
gradation;
it
s
finer han
Ottawa and (see
Fig.
0
for gradation).
A
imited
number
f
ce pecimens rozen
nder
he
ame
onditions
s
those
or
he
oils
were ested s correlation
material nd
o
btain
ce-test
data using
he
ame esting
quipment.
Ice-specimen densities
were
ess
than
hat or
olid
ce
oecause f
air
entrapment
during
reezing. (See Table
AIII,
App.
A,
for
densities.
)
-
8/18/2019 creep of sand
19/63
12
CREEP
OF
FROZEN SANDS
U
STD
SIEVE
SIZE
NO 40
O
200
I
*
> -
m
z
Ui
-
8/18/2019 creep of sand
20/63
CREEP OF FROZEN SANDS
After aturation, the pecimen-charged moid was laced n he reeü-ig
cabinet. Spaces etween he
ides
f he
mold
nd cabinet
were
nsulated with
granular cork. After emoval f he
op
mold cover de-aired water upply
was onnected o
he
bottom
of the
mold
o
permit
pecimen
reezing n n open
system.
In
his
rrangement he bottoms
f
he pecimens were xposed o
40F with
a
ree water upply,
and he ops were xposed
o
cold circulating
freezing
air. The
ate
of
progress f he
2F
sotherm
was determined
y
means
f
hermocouples paced
in.
apart
along
he vertical axis of he en-
ter
pecimen.
Soil
samples were
rozen
within
period
of
days,
i
e. the
average ate
f
rost penetration was
1
IZ
n.
per
day.
In
reezing ce amples he procedure
was
imilar
o
hat outlined or
soils.
owever,
o
educe
ntrapment
of
air
bubbles
n
he
ce
he
ate
of
freezing was educed
o
approximately
/4
n.
per
day.
To
emove
he
rozen
pecimens rom he
reezing
mold,
the
mold
was
clamped n pecially constructed
rame
and
ach
pecimen was jected y
pressing
against
he
plit
leeve
using
hydraulic
ack with
n
ejector
plate.
The
jector plate
diameter matched
he
mold bore
nd
ad
aised
outer im
that permitted ejection of he
pecimen
n
he leeve
without
oading he peci-
men.
The
plit
leeve was
emoved rom he
jected
pecimen
y
xpanding
its diameter with
a
hin blade nserted nto he plit.
Tri
mm
ing
After
emoval
of he split leeve, the pecimen was
nspected
or mper-
fections and
cut
o
approximately
a
6-in.
height.
Rough
cutting was
ccom-
plished
with
a
hacksaw
and
wooden
miter
box.
The
nds
were
quared
using
a
special case-hardened vee-shaped miter box and arious gradations f wood
rasps
nd
teel
iles.
After he
pecimen
nds
were
rimmed
o
inal ength,
the dimensions were determined
by
measuring he ircumference at he
op,
midheight, and bottom) and
ength
at ix ocations round he perimeter) o he
nearest /1000
n.
Variations
n
pecimen
ength
ai
ound
he circumference
were within
0. 005
n. of he verage xcept or bout
J pecimens with varia-
tion
up o 0.
01
n.
of
he
average. The diameter varied ess han 0.
003
n.
along he
pecimen
ength.
The olume of ach pecimen
was
determined y ubmergence n
iquid
isooctane 2,
2 ,
4
rimethylpentane) at
20F.
After
olume determinations
were
made,
Ottawa
and
ample
nds
were
capped
with
a hin ayer
of
ce
o
void ocal
tress
oncentrations
t
he
ela-
tively arge and
grains
n
contact with he
oading
caps. The
capping
was c-
complished
y
pouring
ayer
of
2F
water
on
lat
glass
plate,
then
etting
the pecimen nd
on
he
plate
nd
llowing
he
water o reeze o he
pecimen
in he cold oom. The glass plate was emoved y
gently
warming he outer
surface of
he
plate.
It was ot onsidered necessary o ap Manchester ine and pecimens with
ice
ince
he ine
oil
grains
provided
a
mooth
contact
urface
or
he oading
caps.
All
pecimens
were
ealed
n
circumferential
ubber
membranes
nd
metal
end caps
or
esting.
Storage
nd
empering
Prior
o
preparation or esting, the pecimens
sually
emained
n he
sealed
reezing mold.
Occasionally
t was
necessary o
ject
several
pecimens
-
8/18/2019 creep of sand
21/63
1 -1
CREEP
OF FROZEN SANDS
in
dvance
f
preparation
or
esting. Those
pecimens
were ealed
n
ub-
ber membranes
nd
emporary
nd
aps,
then
ealed n plastic ags
with
crushed
ce o liminate ublimation. No change n
pecimen
weight ould
be detected n
weighings
f
elected
specimens
before nd
fter
storage.
Storage
periods
id
ot
exceed
6
weeks.
Before
esting,
all
specimens
were
stored t
the
est emperature
or
minimum
of 8 ours.
The required
empering
ime
was
hecked
sing
hree
thermocouples
mbedded
t he
midpoint
and
quarter points f
he
xial
eight
of ontrol
pecimen. This heck
howed
hat 4 ours was ufficient
ime
for he
sp-cimen
o
reach
quilibrium t he est temperature.
CREEP AND STRENGTH TESTING PROCEDURE
,eh
est
emperature
eries
f
compression type ests
was
on-
first
determining
he instantaneous"
trength* of
he
rozen
oil
-l
* .u
r
.
.
._„.„
.. .. ~. ->
.
At
acl
ducted y irst oeiermimng ne
instantaneous
sirengin--
i
me
rozen on
or ce
nd
hen performing creep ests t educed tress evels. Each est
series ncluded onstant stress nd onstant oad compression ests per-
formed at stress evels f
approximately 0, 35, 20, 10 and .5'%
stress
ratio, p) of
he
verage nstantaneous
trength.
One
est
eries was onduc-
ted
t
ach
f
he
ollowing
est
emperatures: 15 ,
25,
29
nd
1F. All
com-
pression ype ests
were
performed on pecimens .8 n.
in
diameter y n.
high.
Whether
onstant-stress
r constant-load ests
were
performed de-
pended pon he
magnitude
f he
pplied
tress nd he xpected deformation.
Constant
oad
ests
were
sed
or
igh
tress
nd
or
mall
xpecied
dafor-
mation at
ow
stresses,
while
onstant
tress
ests
were
performed
at
nter-
mediate tress
evels i.e.,
in
he ange
of
15
o
0%)
where
he
deforma-
tions were
xpected
o e arge.
The
compression
creep
est
n
ach
pecimen was performed y irst
applying eating
oad of
approximately
si
o
he
pecimen
o
nsure
posi-
tive ontact between
he
est
pecimen
nd
omponents
f he
oading ystem,
a
we
ive Luiiidv.i
uciwceu tue i
c
•
i
»(JCLUMCII
anu
components
ui
nit* loauiug
&y
bitin,
nd
hen
pplying
he est
oad
n
ess
han
ec. Instantaneous
trengths
were
determined
y
moving
he
oading press ead
gainst he pecimen t
rate
f 0.2
n. per min strain ate
f
,033 p?r min). After ach
est was
completed,
photographs
were
aken
of
he
est pecimen
see
Fig.
11-13
oi
typical specimens)
and
wate-
ontents
were
determined.
TEST
RESULTS
Figures 14-16
how
ypical time-d
e
formation
urves
(Ottawa
and,
Man-
chester ine and
and polye rystal line
ce)
produced
directly
rom data
or
each
pecimen subjected
o
he nconfined
ompression
creep est. The
ime-
strain urves
n Figures 17
hrough
0
and
Figures through 4
ummarize
the
data or Ottawa sand
nd
Manchester ine sand respectively. (Where
more
than one pecimen umber s shown o n
ingle, curve, the
urve represents
the verage
f
he urves btained
or
pecimens ndicated and
he
vertical
bars ndicate he total ange of
values. )
A
ummary
of
ndividual
pecimen
data
s
hown
n
Appendix A.
*
Instantaneous"
strength used
erein
s
he
maximum
trength determined
by oading he est pecimen t constant train
aif f
0.03
3
per
min.
-
8/18/2019 creep of sand
22/63
CREEP
OF FROZEN
SANDS
15
a.
Brittle
ailure n nstan-
taneous trength est. Temp,
25F,
e-0. 58.
OWS-51
b.
Plastic-shear
failure
at
815
psi (63.5% of instantaneous
strength). Temp,
5F,
e
=
0. 60.
c. Specimen ubjected o
Z O O
psi
13.7%
nstantaneous
trength)
for 501
hr
t
25F;
e
=
0
60.
figure 11 .
Typical
Ottawa
and
pecimens
fter
esting.
-
8/18/2019 creep of sand
23/63
CREEP
OF
ROZEN' SANDS
M*
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a
-a
c
0)
ü
C
-3
k,
-
8/18/2019 creep of sand
24/63
CREEP OF FROZEN
SANDS
17
Ä
;
ÖÄli; . . .
B>SB?
ji|Hri|H)miii|iiiijii'.| ii |iiii|iiii>
i_
15 " O
'
-*
O
rg
Ul
vD
0
u
U l
- ̂
1 1
0.
M
"*H
0
m
-
«5
to
c
u
flj
U)
0) 0
l- c
1 )
1 )
3
C
u
U )
J2
Ifl
u
a
UH
> .
O ̂
H
rj
.
m
-
8/18/2019 creep of sand
25/63
18
CREEP OF ROZEN SANDS
0
00 00 00 OO
000
200
I, IME e
Figure 4. Creep ests in
nconfined
compres-
sion,
Ottawa and ZO-30), 15F.
r
'
'
1
T "
MFS
2 v, 50 p» i
i
003
-
T
O
I 00?-
K
o
li.
Id
o
0 01
_MFS
1,
200 ps i
s-
m
r
MFS
7S,
150
p» ,
1.
1
1
400
600
800
hr
2
0
I
0-
JMFS
92
1
9
75
pn
|
—
T
-|
~-
-
I—
.1
..
/̂MFS 75V
_̂̂ _̂ *-̂ ^
560 pii
11
30
m m
Figure IS.
C
reep tests
in
unconfined
compression,
Manchester ine and, 15F.
-
8/18/2019 creep of sand
26/63
CREEP Or
FROZEN SANDS
1 9
1C £ fcV, 160 PI
(595%)
ICt
5V,93p«./
CE
.34p.t
(35%) 1
20X1/'
IC E 14,5
p»i(>M02\)
__
i
zo'
300
4 00
I,
IME r
b
Figure
16 .
Creep est
on
ce in
unconfined
om-
/ est tress
pression.
p = stress ratio
- .
r-
.
'instantaneous
trength
016
012
0.08
a:
0 04-
~r
~r
RANOE
OF
VALUES
600
00
000
t,
IMC
r
Figure
7 .
Time s train, Ottawa and 20-30), i5F.
1200
-
8/18/2019 creep of sand
27/63
< J0
CREEP
OF
FROZEN
ANDS
0
08-
0 04
-OWS 3
a
56,
90
ps i
(60%)
'-
-SPECIMEN
TWISTED O W S 29V)
INSTANTANEOUS
STRENGTH
1460 ps i
OW S
2J.
1IV8 32V, 200 pn 15%)
OW S 8, 180. 19c,
A
20o, SOpli
(4X)
800
1200
TIME
1600
hr
_1 _
2000
400
Figure
8.
Time
s strain, Ottawa and
20-30),
25F.
OW S
Bl.84,86
100
775
ps i
(̂ «60%)
004-
INSTANTANEOUS
STRENGTH
1320
pn
OW S
4
99, 100
pti
(8 )
JL
800
hr
1000
200
Figure 19 . Time
s
train,
Ottawa
and
20-30),
29F,
-
8/18/2019 creep of sand
28/63
imHMiHnMiMOTwnn
CREEP
OF
FROZEN
ANDS
Zl
U 16
I
1
1
0 1?
OW S 34,139,119 8 15 2
150
n *>
20%}
INSTANTANEOUS
STRENGTH
74« p..
0
08
-
[
/
- O W S 136, 38 .
t
42
26C >
135%)
-
/
- O W S 0IV, 02V
a
16 V
400
ps i
(54%)
■
0 04 -
/
-
Z .
W S 121, 22 8 25
'
80
pjr
11%)
"~
ows
13 2
140
»
4
3
20
pii (2.7%)
.
—
i i
400
600
TIME
BO O
hr
1000
Figure 20.
Time
s
train,
Ottawa
and
20-30),
31F.
1200
~ <
0.8-
.
0
4
-
M ^S
84,89
3
92
57a ti
(?
■ 35%)
. M F S
85,87,
94
a
5
1660
si (60%)
INSTANTANEOUS
STRENGTH
2790pn
MFS 72V
1V ,
50
pti 1 2 %)
T
600
00
00
t,
IME
Figure 1. Time s train,
Manchester
ine and,
1
5F
400
hr
te*iÄ l̂äij
-
8/18/2019 creep of sand
29/63
IL
CREEP
OF FROZEN
SANDS
06
. 0.4
-
0
2-
MFS
50,64 R
1199
psi
(P-60V.I
M FS
1,52
3
694 li 35%)
20
1
/MF$ S?V, 5H V
4
67
V
400 pn (20%)
INSTANTANEOUS
STRENGTH
2000
pii
M FS
9 0,
60
li 8%)
40
~r
60
TIME
1^
80
—
1
1 00
1 20
Figure 1. Time s train, Manchester ine and, Z5F.
06-
04
M FS 4,19 8
23
77: »i
P-57%)
MF S
25,35
8
0
470 ps, 35%)
-i
/MFS 29V
a
1 V
265 pn
(20%)
INSTANTANEOUS
STRENGTH
1240 pn
MFS 30,38
,45
8
48,
00
p»i
(74%)
i —i 1
'
r~
an
,n
0
00
?0
O
TIME
«n
hr
Figure 3. Time s train, Manchester
ine
and, Z9F
-
8/18/2019 creep of sand
30/63
U P I I|1WW
CREEP
OF
FROZEN
SANDS
23
0 08
I FS 21V
41 V
/
Ü0 pst ̂ --35%)
M FS
7V
a 42V
160
IP
(20%)
INSTANTANEOUS
STRENGTH
805 PJI
JMFS 4V
6V
150
psi
(18
8%)
ME S
5V
V, C
ps i
(9 9%)
Figure 4. Time s train,
Manchester
ine
and,
3IF.
DISCUSSION
Strain-time data
Creep
data presented
as deformation
s
ime
curves are
he
primary e-
sults of his
nvestigation
and,
with
he
xception
of
he
instantaneous" tress-
strain
curves,
are he
basis
of
all
he
urves
eported
herein.
Typical ime-
deformation curves or
ands re
hown n Figures
4
and
5.
From hese
curves, true "logarithmic"
r
"natural")
strains* were
computed by
subtract-
ing
est-machine
calibration values rom he deformations nd
adjusting
he
constant
oad
est alues o
a
constant
stress
basis.
Typical ime-strain
curves
are
hown n
Figures
17
4.
Deformation
s ime, and
strain
s ime, curves
or
ach
emperature
can
be
grouped
according
o
hape.
The
curves
or ower stress
atios 0% )
approach straight
ine
with elatively
mall
deforma-
tions
prior
o
ailure. Figures 17
o 0 Ottawa and) and 1 to
24
Manchester
fine
and) are
ets
of
average
train
s
ime
urves
howing he
hree
differ-
ently
haped
curves.
The
ow stress
atio group of
curves
onsisting
of
nstantaneous lastic,
time-dependent
elastic, and plastic
omponents epresents trains
or
defor-
mations)
esulting
rom tresses maller han he
ong-term trength f
he
frozen oil. The
various
deformation
components
re abeled
on he
deforma-
tion
ebound
curve
n Figure 25a.
The
otal maximum ong-term train
of
he
*
True
train n
/(1-e
c
where
he
conventional
train c AL/L
0
= xial
deformation/original
ength.
t See
page
or
definition of erms.
-
8/18/2019 creep of sand
31/63
Z4
CREEP
OF
FROZEN
ANDS
specimens
ested
did
not xceed
.
Ü 5
nd
. 0
n.
in,
for Ottawa and
nd
Manchester
ine
and, respectively.
Ten
ebound ests
performed
on
rozen
Ottawa and
ndicate
hat he
otal
lastic omponent s
ess
han
5% of he
total
deformation
and
hat he
amount
of
nstantaneous
lastic
deformation
s
generally ess han ime-dependent lastic deformations see Table ).
The
percentage
anges
of otal deformations hown n Table ndie. e hat r-
reversible
plastic
ype)
deformation s
ominant
ven
at tress evels
below
the
ong-term
trength.
0 06
006
<
2
c c
o
U-
UJ
o
004
0.02
H
eformat ion
of test m ac hint
1
nstantaneous
elastic deformation f specimen
IA niiantaneoui
eloihc
rebound of specimen
2 nstantaneous plastic
dtformation
o f iptci
«e n
3
imt dtptndtnt tlaific
rebound
of
specimen
4
tuduol
eformation
of
pecimen
4—*--
2
=^=W
a
ypical ebound
curve
z
-
005
1
4
Jf̂
OWS 58V
600 ps i
TEMP:
5*F
-
"a"
i
STAGE
STAGE
I,I
1 i
STAGE
m
I
200
400
00
00
t,
T M
E, hr
b
Ciassicol Creep
Curve
Typical
1000
1200
Figure
.5 .
Typical
ebound and
classical
creep
curves,
Ottawa
sand 20-30).
-
8/18/2019 creep of sand
32/63
CREEP
OF
FROZEN SANDS
25
Table .
Types
f deformations
rom
ebounded reep
ests,
frozen Ottawa
and.
Percent
f
Total
Deformation
Temp
Stress
JFJ_
(psQ
1 5
24.5
29
17 0
5 0
100
Instant*
rebound
0 o
2.5
0
o
0 o
Delayed
elastic otal
rebound
ebound
1.0 o .3
o
6
to
10
to
14
1
to
2
to 4
Plastic
r
plasto-viscous
d e f
o
r
m
9' o
9
86 o 92
96 o
u
9
Rebound
time
l
erved
____ÜH)
1/2
38 2
1
*
Deformation
observed
0
ec fter emoval
of
oad.
At
he ntermediate stress
a
tios,
the
strain
s
ime curves
display
he
characteristics of
he
classical
creep
curves or
metals.
These curves
how
instantaneous lastic nd delayed lastic
i.e.,
viscoelastic), viscous, visco-
plastic
nd
plastic
trains
nd
ventual
ailure.
In Figure
5b
hesr
ompo-
nents
nd
he
hree
creep
tages re