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ORNL-TM-2727.txt
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LIBRARY
~ENTRAL RESEARCH |
~ " DOCUMENT COLLECTION
S 76
OAK RIDGE NATIONAL LABORATORY
operated by
UNION CARBIDE CORPORATION
for the
U.5. ATOMIC ENERGY COMMISSION
ERGY RESEARCH \LIBRARIES
(VEABA
3 445k 0513
"fa
ORNL- TM- 2727
THE MECHANICAL BEHAVIOR OF ARTIFICIAL GRAPHITES
- £3
AS PORTRAYED BY UNIAXIAL TESTS
W. L. Greenstreet
J. E. Smith
G. T. Yahr
R. S. Valachovic
“
NOTICE This document contains information of a preliminary nature
and was prepared primarily for internal use at the Ook Ridge National
Laboratory. It is subject to revision or correction and therefore does
not represent a final report.
LEGAL NOTICE
This report was prepared as an account of Government spfinsored work. Neither the United States,
nor the Commission, nor any person octing on behalf of the Commission:’
A, Maokes any warranty or representotion, expressed or implied, with respect to the accuracy,
completeness, or usefulness of the informotion contained in this report, or that the use of
any information, up.poruru's, method, or process disclosed in this report mey not infringe
privately owned rights; or . .
B. Assumes any liabilities with respect to the use of, or for damoges resulting from the use of
ony information, apparatus, method, or process disclosed in this report.
As used in the above, "‘person acting on behalf of the Commission'’ includes any employee or
contractor of the Commission, or employee of such contractor, to the extent that such employee
or contractor of the Commission, or employee of such contractor prepares, disseminotes, or
provides access to, any information pursuont to his employment or contract with the Commission,
or his employment with such contractor,
i
ORNL-TM-2727
Contract No. W-T4O5-eng-26
Reactor Division
THE MECHANICAL BEHAVIOR OF ARTIFICIAL GRAPHITES
AS PORTRAYED BY UNIAXTAL TESTS
. Greenstreet
. Smith
. Yahr
. Valachovic
Ty =
e
DECEMBER 1969
OAK RIDGE NATIONAL LABORATORY
Ozk Ridge, Tennessee
operated by
- UNION CARBIDE CORPORATION
for the
U.S. ATOMIC ENERGY COMMISSION
AIES
LOCKHEED MARTIN ENERGY AESEARCH LIBRA
(R
2 b
\ 3 yusk 0533802 &
T
i1l
}Contents
Page
N o T = Y o 1
TNETOAUCELON et s e oo vn st oe s ne e snneeneneseneensnnseneennsnnns 1
Mechanical Behavior ...veiiisiineiirersesscnnersesnsennans [ 2
Synopsis Of Reported RESULES «evrrerrennereerennneeenns 2
Additional Investigations ............. ettt 14
Conclusions .....ev.... e ettt et 41
ACKNOWI1EAEEMENTS « vt et ennerrsenneesosecnnassssennesesennnanas Lo
RETFETEIICESE « v v et e aen s st aneansensesassnssenesnnssnsenennns L3
THE MECHANICAL BEHAVIOR OF ARTIFICTAL GRAPHITES
AS PORTRAYED BY UNIAXTAL TESTS
W. L. Greenstreet
J. B. Smith
G. T. Yahr
R
. S. Valachovic
Abstract
Stress-strain behaviors which are representative of nuclear-
grade, or equivalent, graphites are described and discussed.
oince c¢cyclic loading test results provide important insight into
the characteristics of graphite behavior, emphasis is placed on
results of this type. Monotonic loading curves are also consid-
.ered, and both stress versus longitudinal strain and stress
versus lateral strain curves are given for monotonic and cyclic
loading. The new results given in this report are combined with
results published in the literature to provide a unified descrip-
“tion of the observed behavior.
Keywords: graphite, materlals testlng, mechanical prop-
erties, compression, tensile properties, stresses, deformation,
heat treatment. -
Introduction
' Many of the mechanical‘behavior charaoteristics of graphite have been
studied. This is espeeielly true of'nuclear—grade, or equiyalent,_grsph—
ites es a class of materials. These graphites are generally made from
petroleum-coke and coal-tar pitch, but the same overali characteristics
are exhibited by graphites made from other binder and filler_combinations |
as Well It is the purpose of this report to bring out some of the salient
_features of observed mechanlcal behav1or in & unified fashlon
Important behavioral characteristics are descrlbed in the literature.
These have been 1dent1f1ed from monotonic and cyclic loadlng tests, but
there are certain aspects of cycllc loadlng behav1or that elther have not
been studied or have not been studied in detail. Therefore, addlt;onal
investigations were made to overoome this deficieney. Three types of cyclic
loading were considered, including (1) cycling of specimens, which were
preloaded in compression, between zero and a constant stress level less
than the preload stress value, (2) cycling in compression wherein the
specimens were only partially unloaded, and (3) cycling alternately in
campression and tension. Studies of the first two types have not been
reported previously, and studies of the third were used to experimentally
examine the validity of an often stated premise regarding reloading be-
havior. The results from these investigations when combined with avail-
able data provide important background information for constitutive equa-
tion development.
Mechanical Behavior
Despite material variations from grade to grade, from block to block
of a given grade, and from piece to piece within a given block, there are
definite characteristics of mechanical behavior associated with artificial
graphite as a class of materiéls. Most graphites are anisotropic, and
stress-strain data generally show that there is rotational symmetry of the
anisotropy in an element. That is, the material may be classified as
transversely isofropic. |
The anisotropy is a result of the preferred orientation of the coke.
particles used in the manufacture and the orientations of the‘cryétallites
within the particles. Although the forming method, that is, molding or
extruding, governs the preferred orientations of the particles, this
method influences the character of the anisotropy only in terms of actual
measures Of deformation resistance. Therefore, the characteristics to be
discussed are independent of forming method.
Synopsis of Reported Results*
It is common knowledge that, when a graphite specimen is loaded in
simple tension or compression, nonlinear stress-strain behavior is exhib-
ited from essentially zero stress to the failure stress. What is the
characteristic of this nonlinearity? By loading to a stress level less
than that at failure and unloading, one obtains a loading curve, OA, and
an unloading curve, AB, as shown schematically in Fig. 1. Since the
*Information summarized here as well as summaries of other informa-
. . . . - 1 ‘
tion on graphite are given in a survey report.
ORNL IWNG. 69-L105
STRESS
c B STRAIN
Fig. 1. Schematic Drawing of a Stress-Strain Diagram for Graphite.
unloading curve does not retrace any part of the initial loading curvé,
the behavior cannot be classified as nonlinear elastic. The nonlinearity
must be described in some other way.
It may be seen that the behavior exhibited is reminiscent of time-
independent elastic-plastic behavior ascribed to metals. When the speci-
men is fully unloaded, there is a residual strain, OB, as for materials
that undergo elastic and essentially time-independent plastic deformations.
The unloading curve, AB, is also nonlinear. On loading the specimen a
second time, the resultifig-curve is again nonlinear and a hystéresis loop
is formed between the unloading and reloading cufves.' Loading beyond the
stress corresponding to that at the unloading point, A, gives a curve
which becomes asymptotic to the cuffie that would have existed. had unload-
ing never occurred.¥ There are no abrupt changeé in the slopes of any of
the segments of the entire curve.
The tensile strengths and the initial slopes of the stress-strain
curves (elastic moduli) are generally greater in the with-grain direction
than in the across-grain direction. There are pronounced differences be-
tween both stress and strain at fracture in tension and in compression:
Complete stress-strain diagrams for simple tension and compression are
plotted together in Fig. 2 (Ref. 2) to.illustrate these differences in the
tensile and compressive behavior. The material is EGCR-type AGOT graph-
ite,f and the data are for the with-grain (parallel tb the extrusion axis)
direction. Typically, fracture strainé on the order of 0.1 to 0.2% and
1.0 to 2.0% are found in tension and compfession, respectively, for nuc-
lear-grade, or equivalent, graphites.
Arfagon and Berthier® performed compression test étudies on 216 spec-
imens made from extruded, petroleum-coke, industrial graphite. Three types
of tests were used: (1) simple compression; (2) cyclic tests (loading-
unloading-reloading) in which the cycles were made from increasing Stfess
levels spaced at equal intervals; and (5) cyclic tests befween zero stress
*This is an often stated premise which is based on many observations.
A direct experimental examination of this premise will be discussed later
in this report.
TEGCR—type AGOT graphite is a coarse-grained, nucleaf-grade, extruded
graphite which was made by Carbon Products Division of Union Carbide Corp.
ORNL DWG. 64-11422
2000
STRAIN (%) ‘
-1.4 -1.2 -1.0 -0.8 -0.6 -0.4 -0.2 TENSl}E
0.2
COMPRESSIVE
ra -2000 =
2
/ o}
w
. w
/ @
ot -4000 »
— -
-6000
Fig. 2. Complete Uniaxial Stress-Strain Curves Parallel to Extrusion
Direction.
and a fixed maximum. The slopes of the stress-strain curves at the origin
for continued loading (type 1) were the same order of magnitude as given
by sonic measurements. Seldin® also found good comparisons between sonic
moduli and the slopes at zero stress as measured from tensile and compres-
sive stress-strain curves for several grades of molded graphite.
Arragon and Berthier found that cyclic compressive tests of type 2
cause the apparent density to increase. The hysteresis loops, which are
formed by loading, unloading, and reloading, increase in size with in-
creased maximum stress, and the slopes of straight lines connecting the
unloading and reloading points decrease with increased stress. (The slope
of a line connecting the two points of one cycle is termed the "paraelas-
tic modulus.") | |
A schematic diagram, which depicts the essential features of the be-
havior observed from a test of fype 2, is shown in Fig. 3. The envelope
curve corresponds to that for simple compression. Arragon and Berthier3
also discovered that straight lines drawn through the unlcading fioint and
the point of zero stress for each ¢ycle converge at a single point as
shown in the figure. The coordinates of this point are both negative
(taking compression as pog}tive), and it was reasoned that the existence
of this point is a manifestation of the history of the virgin specimen.
In each case, the‘reloading curves asymptotically approach the enve-
lope curve after each cycle of loading, unloading, and reloading. This
and the other details of the behavior, as described above, are_genefally
typical of the graphites being considered. Corroborations can be found by
studying the results for extruded graphite reported by Losty and Orchard®
and for molded graphites by Seldin.®
In the case of test type 3, which was used in the study by Arragon
3 each specimen was subjected to 12.cycles. During the first
and Berthier,
cycles, the total deformations at the unlocading and reloading points in-
creased with increased cycle number, but, after the sixth cycle, these
deformations were essentially constant, afid the hysteresis loop was re-
traced on each subsequent cycle. The form of the hysteresis lcop remained
constant throughout the cyclic loading as did the paraelastic modulus.
There was a slight increase in apparent density during cycling.
ORNL DWG. 67-2981
STRESS
STRAIN
Fig. 3. Schematic of Compressive Stress-Strain Diagram.
8
A schematic diagram of the type behavior observed during the first
few cycles is shown in Fig. 4. Additional illustrations of this behavior,
as obtained by the present study, are given in Figs. 5 and 6. The latter
figures show results obtained from EGCR-type AGOT and from RVD¥ graphite,
respectively.
The initial slopes of the stress-strain curves, or Young's moduli,
for nuclear-grade, or equivalent, graphites are about the same in tension
and in compression. This is generally true for both the with-grain direc-
tion and the across-grain direction. However, exceptions may be fofindf%y
comparing across-grain data for some graphites. Close comparisons of
tensile and.compressive curves for a given direction also reveal that
there is a tendency toward gfeater deformation resistance in bompreséion
than in tension. This especially is true for the across-grain direction.
The preceding discussion was limited to stress versus longitudinal
strain behavior. ©Stress versus lateral strain curves for these graphites
have different curvatures in tension and compression; the diagrams for
tension are concave,toward the stress axis, while those for compression
are convex. These observations were first reported by Seldin.*
Schematic
diagrams of the tensile and compressive behaviors are shown in Fig. 7.
In uniaxial compression tests, the transverse—tOalongitudihal strain
ratios are essentially independent of stress, yielding almost conétant
values. However, the ratios in tension are functions of stress, decreasing
as the stress is increased. Figure 8, which shows the strain ratios for
EGCR-type AGOT graphite as functions of longitudinal strain,2 provides a
clear illustration. In this figure, the subscript 3 refers to the paral-
lel, or with-grain direction, while the subscripts 1 and 2 refer to two
orthogonal (across-grain) directions in the plane of isotropy. (Trans-
verse isotropy is assumed.) The first of the double subscripts indicates
the difection of applied stress and the second indicates the direction of
induced strain. The vertical bars in the figure represent standard devia-
tions.
¥RVD is an extruded graphite manufactured by Carbon Products Division
of Union Carbide Corp.
CRNL IWG. 67-2980
STRESS
STRAIN
Fig. 4. Schematic Diagram Showing Cyclic Behavior.
10
QRRL IMG. 69-L106
4000
3500 //////
I
3000
N
wn
O
o
STRESS ( pst)
N
o
O
O
1 500
1000
500
0 o1 02 03 04 0.5 0.6
LONGITUDINAL STRAiN,EA(%)
Fig. 5. Cyclic Stress-Strain Curves for a With-Grain EGCR-Type AGOT
Specimen (12 Cycles).
11
ORNL TMC. 69-k104
e
8000 7
9000
7000
6000
5000
STRESS (psi)
4000
3000
2000 //
1 000
0 0.2 0.4 0.6 0.8 1.0 12
LONGITUDINAL STRAIN.EA(%)
Fig. 6. Cyclic Stress-Strain Curves for a With-Grain RVD Specimen
(S-Cycles).
12
- ORNL DWG. 67-3LT7
TENSION
4
4 3+
n
e
- a2
w
, &
%
— l —
02 0 0 o A 2 3 4
LATERAL € LONGITUDINAL €
STRAIN (PER CENT)
COMPRESSION
‘ E‘ —"-"
e
7
0
w
x
-
"
| Lt L)l
oz . ol 4 8 12 16 20
LATERAL € LONGITUDINAL €
STRAIN (PER CENT)
Fig. 7. ©Schematic Drawings of Longitudinal and Lateral Stress-Strain
Curves.
STRAIN RATIO
0.20
0.15
0.10
0.05
0.15
0.10
0.05
0.15
0.0
0.05 ]
13
ORNL-DWG 64-10983
T
]
ITT
L
o T -
J l ==
|
K ]y. + il
{ 1 ‘
2 ‘| 2 Hi2 v F21
|
H13 . 123
- ' s 1
[ K43, 123
LONGITUDINAL STRAIN IN COMPRESSION (%)
Fig. 8.
Il1 7 = _ I
R HH
| | HHHH
| _—
1 | 1 ’ B30, H32 K31, 132
0.5 1.0 1.5 20 0 0.05 0.10 0.4%
LONGITUDINAL STRAIN IN TENSION (%)
Strain-Ratio Curves from EGCR—Type AGOT Specimens.
1L
When a specimen is loaded and released, the transverse residual
strain is positive regardless of whether the load is a tensile or a com-
pressive one. Thus, the volume of a specimen pulled in tension and re-
leased is increased since all linear dimensions are increased.
Additional Investigations
The investigations reported in this section were made using speci-
mens with the design shown in Fig. 9. This particular design was selected
so that the specimens could be tested in either tension or compression.
The 0.100-in.-diam longitudinal hole was bored in each specimen to allow
for making permeability measurements, and a smooth machine finish was
used, without grinding or polishing.
Each specimen was marked for gage location using a HB grade drafting
pencil to avoid scratching the surface and to provide indications thatr
would not be removed by heat treating the specimen af 3000°C (to be ais-
cussed later). The latter aspect is important because the specimens were
heat treated and reinstrumented‘fwice in ‘some cases, and it was necessary
to mount the gages in the same location each time. They were instrumented
on opposite sides at the midpoint of the gagé length with strain gages
oriented in the axial and circumferential directions. Budd Metalfilm,
type C6-121-A, strain gages with a 0.125-in. gage length were used.
| Tensile tests were pérformed using steel clam-shell,fixturés attached
to the ends and 0.20-in.-diam, stainless steel, stranded-wire cables for
transmitting the. load to the specimen. A specimen, ready for test, is
shown in Fig. 10. The campressive tests were carried out using a subpress
with a miniature load celi placed in the subpress below the specimen. By
placing the load cell at this location, inaccuracies in readings due to
plunger friction were eliminated. The test setup for compression testing
is shown in Fig. 11.
For those cases in which the specimens were heat treated, a 100 kw,
3000 Hertz induction furnace was used for this purpose. The inside dimen-
sions were a diameter of 9 in. and a length of 14 in., and the specimens
were heated in Argon at atmospheric pfessure. The time to reach the 3000°C
temperature level was 45 minutes. The furnace was cooled from 3000 to
15
ORNL-DWG 69-5079
3.50 in.
0.50 .
) e 2.500 i
<:::1{32—1'n. R. (both ends)
j
Lo.10
L Dia.
0.625-in. Dia. ’
2-in. R. j;;”' R. L—1.125-1n. Dia.
1.250 in. -
_flZB.szs in.
Fig. 9. Drawing of Test Specimen.
16
PHOTO TE4ET
Fig. 10. Specimen Prepared for Tensile Testing.
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