Designation: G 39 – 99 (Reapproved 2005)
Standard Practice for
Preparation and Use of Bent-Beam Stress-Corrosion Test
Specimens1
This standard is issued under the fixed designation G 39; the number immediately following the designation indicates the year of original
adoption or, in the case of revision, the year of last revision. A number in parentheses indicates the year of last reapproval. A superscript
epsilon (e) indicates an editorial change since the last revision or reapproval.
1. Scope
1.1 This practice covers procedures for designing, prepar-
ing, and using bent-beam stress-corrosion specimens.
1.2 Different specimen configurations are given for use with
different product forms, such as sheet or plate. This practice
applicable to specimens of any metal that are stressed to levels
less than the elastic limit of the material, and therefore, the
applied stress can be accurately calculated or measured (see
Note 1). Stress calculations by this practice are not applicable
to plastically stressed specimens.
NOTE 1—It is the nature of these practices that only the applied stress
can be calculated. Since stress-corrosion cracking is a function of the total
stress, for critical applications and proper interpretation of results, the
residual stress (before applying external stress) or the total elastic stress
(after applying external stress) should be determined by appropriate
nondestructive methods, such as X-ray diffraction (1).2
1.3 Test procedures are given for stress-corrosion testing by
exposure to gaseous and liquid environments.
1.4 The bent-beam test is best suited for flat product forms,
such as sheet, strip, and plate. For plate material the bent-beam
specimen is more difficult to use because more rugged speci-
men holders must be built to accommodate the specimens. A
double-beam modification of a four-point loaded specimen to
utilize heavier materials is described in 10.5.
1.5 The exposure of specimens in a corrosive environment
is treated only briefly since other practices deal with this
aspect, for example, Specification D 1141, and Practices G 30,
G 36, G 44, G 50, and G 85. The experimenter is referred to
ASTM Special Technical Publication 425 (2).
1.6 The bent-beam practice generally constitutes a constant
strain (deflection) test. Once cracking has initiated, the state of
stress at the tip of the crack as well as in uncracked areas has
changed, and therefore, the known or calculated stress or strain
values discussed in this practice apply only to the state of stress
existing before initiation of cracks.
1.7 The values stated in SI units are to be regarded as
standard. The inch-pound equivalents in parentheses are pro-
vided for information.
1.8 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
responsibility of the user of this standard to establish appro-
priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use. (For more specific
safety hazard information see Section 7 and 12.1.)
2. Referenced Documents
2.1 ASTM Standards: 3
D 1141 Practice for the Preparation of Substitute Ocean
Water
G 30 Practice for Making and Using U-Bend Stress-
Corrosion Test Specimens
G 36 Practice for Performing Stress-Corrosion-Cracking
Resistance of MEtals and Alloys in a Boiling Magnesium
Chloride Solution
G 44 Practice for Exposure of Metals and Alloys by Alter-
nate Immersion in 3.5 % Sodium Chloride Solution
G 50 Practice for Conducting Atmospheric Corrosion Tests
on Metals
G 85 Practice for Modified Salt Spray (Fog) Testing
2.2 NACE Documents:4
NACE TM0177-96 Laboratory Testing of Metals for Resis-
tance to Specific Forms of Environmental Cracking in H2S
Environments
3. Terminology
3.1 Definitions of Terms Specific to This Standard:
3.1.1 cracking time—the time elapsed from the inception of
test until the appearance of cracking.
3.1.1.1 Discussion—The test begins when the stress is
applied and the stressed specimen is exposed to the corrosive
environment, whichever occurs later.
1 This practice is under the jurisdiction of ASTM Committee G01 on Corrosion
of Metals, and is the direct responsibility of Subcommittee G01.06 on Environmen-
tally Assisted Cracking.
Current edition approved May 1, 2005. Published May 2005. Originally
approved in 1973. Last previous edition approved in 1999 as G 39 – 99.
2 The boldface numbers in parentheses refer to the list of references appended to
this practice.
3 For referenced ASTM standards, visit the ASTM website, www.astm.org, or
contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Standards volume information, refer to the standard’s Document Summary page on
the ASTM website.
4 Available from National Association of Corrosion Engineers (NACE), 1440
South Creek Dr., Houston, TX 77084-4906.
1
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Copyright by ASTM Int'l (all rights reserved);
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3.1.1.2 Discussion—The specimen is considered to have
failed when cracks are detected. Presence of cracks can be
determined with or without optical, mechanical, or electronic
aids. However, for meaningful interpretation, comparisons
should be made only among tests employing crack detection
methods of equivalent sensitivity.
3.1.2 stress-corrosion cracking—a cracking process requir-
ing the simultaneous action of a corrodent and sustained tensile
stress. This excludes corrosion-reduced sections that fail by
fast fracture. It also excludes intercrystalline or transcrystalline
corrosion which can disintegrate an alloy without either
applied or residual stress.
4. Summary of Practice
4.1 This practice involves the quantitative stressing of a
beam specimen by application of a bending stress. The applied
stress is determined from the size of the specimen and the
bending deflection. The stressed specimens then are exposed to
the test environment and the time required for cracks to
develop is determined. This cracking time is used as a measure
of the stress-corrosion resistance of the material in the test
environment at the stress level utilized.
5. Significance and Use
5.1 The bent-beam specimen is designed for determining
the stress-corrosion behavior of alloy sheets and plates in a
variety of environments. The bent-beam specimens are de-
signed for testing at stress levels below the elastic limit of the
alloy. For testing in the plastic range, U-bend specimens should
be employed (see Practice G 30). Although it is possible to
stress bent-beam specimens into the plastic range, the stress
level cannot be calculated for plastically-stressed three- and
four-point loaded specimens as well as the double-beam
specimens. Therefore, the use of bent-beam specimens in the
plastic range is not recommended for general use.
6. Apparatus
6.1 Specimen Holders—Bent-beam specimens require a
specimen holder for each specimen, designed to retain the
applied stress on the specimen. Typical specimen holder
configurations are shown schematically in Fig. 1.
NOTE 2—The double-beam specimen, more fully described in 10.5, is
self-contained and does not require a holder.
NOTE 3—Specimen holders can be modified from the constant defor-
mation type shown in Fig. 1 to give a constant-load type of stressing. For
instance, the loading bolt can be supplanted by a spring or dead-weight
arrangement to change the mode of loading.
6.1.1 The holder shall be made of a material that would
withstand the influence of the environment without deteriora-
tion or change in shape.
NOTE 4—It should be recognized that many plastics tend to creep when
subjected to sustained loads. If specimen holders or insulators are made of
such materials, the applied stress on the specimen may change appreciably
with time. By proper choice of holder and insulator materials, however,
many plastics can be used, especially in short-time tests.
6.1.2 When the stress-corrosion test is conducted by immer-
sion in an electrolyte, galvanic action between specimen and
holder (or spacer) shall be prevented (see Note 5). This is
accomplished by (1) making the holder of the same material as
the individual specimens, (2) inserting electrically insulating
materials between specimen and holder at all points of contact
(see Note 4), (3) making the entire holder out of a nonmetallic
material (see Note 4), or (4) coating the holder with an
electrically nonconducting coating that effectively prevents
contact between holder and electrolyte.
6.1.3 Crevice corrosion may occur in an electrolyte at
contact points between specimen and holder (or spacer). In
these instances the critical areas should be packed with a
hydrophobic filler (such as grease or wax).
NOTE 5—In atmospheres (gas) galvanic action between specimen and
holder either does not exist or is confined to a very small area as
experienced in outdoor exposure tests.
6.2 Stressing Jigs—Three-point and four-point loaded
specimen holders, Fig. 1 ( b and c), contain a stressing feature
in the form of a loading screw. To stress two-point loaded
specimens (Fig. 1(a)), a separate stressing jig shall be used. A
convenient stressing jig is shown in Fig. 2.
NOTE 6—The double-beam specimen, described in 10.5, requires a
mechanical or hydraulic stressing frame (a universal tension testing
machine can also be used) as well as welding equipment.
6.3 Deflection Gages—Deflection of specimens is deter-
mined by separate gages or by gages incorporated in a loading
apparatus as shown in Fig. 3. In designing a deflection gage to
FIG. 1 Schematic Specimen and Holder Configurations
G 39 – 99 (2005)
2
Copyright by ASTM Int'l (all rights reserved);
Reproduction authorized per License Agreement with Kathe Hooper (ASTMIHS Account); Mon May 16 17:31:51 EDT 2005
Copyright ASTM International
Provided by IHS under license with ASTM Licensee=MHI - NAGOYA related to 3944000/3944000013
Not for Resale, 01/07/2008 21:00:02 MSTNo reproduction or networking permitted without license from IHS
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suit individual circumstances care must be taken to reference
the deflection to the proper support distance as defined in
10.2-10.5.
7. Hazards
7.1 Bent-beam specimens made from high-strength materi-
als may exhibit high rates of crack propagation and a specimen
may splinter into several pieces. Due to high stresses in a
specimen, these pieces may leave the specimen at high velocity
and can be dangerous. Personnel installing and examining
specimens should be cognizant of this possibility and be
protected against injury.
8. Sampling
8.1 Test specimens shall be selected so that they represent
the material to be tested. In simulating a service condition, the
direction of load application in the specimen shall represent the
anticipated loading direction in service with respect to process-
ing conditions, for example, rolling direction.
8.2 Paragraphs 7.4 and 7.5 deal specifically with specimen
selection as related to the original material surface.
9. Test Specimen
9.1 The bent-beam, stress-corrosion specimens shall be flat
strips of metal of uniform, rectangular cross section, and
uniform thickness.
9.2 The identification of individual specimens should be
permanently inscribed at each end of the specimen because this
is the area of lowest stress and cracking is not expected to be
initiated by the identification markings. If stenciling is used for
identification, this shall be done only on softened material
before any hardening heat treatments to prevent cracking in the
stenciled area. Care must be taken to prevent the identification
from being obliterated by corrosion.
9.3 Mechanical properties should be determined on the
same heat-treatment lot from which stress-corrosion specimens
are obtained.
9.4 The specimens can be cut from sheet or plate in such a
fashion that the original material surface is retained. This
procedure is recommended when it is desired to include the
effect of surface condition in the test.
9.5 If, however, it is desired that surface conditions should
not influence the test results of several materials with different
surface conditions, the surfaces of all specimens must be
prepared in the same way. It is recommended that grinding or
machining to a surface finish of at least 0.7 µm (30 µin.) and to
a depth of at least 0.25 mm (0.01 in.) be utilized for surface
preparation. It is desirable to remove the required amount of
metal in several steps by alternately grinding opposite surfaces.
This practice minimizes warpage due to residual stresses
caused by machining. All edges should be similarly ground or
machined to remove cold-worked material from previous
shearing. Chemical or electrochemical treatments that produce
hydrogen on the specimen surface must not be used on
materials that may be subject to embrittlement by hydrogen or
that react with hydrogen to form a hydride.
9.6 Immediately before stressing, the specimens should be
degreased and cleaned to remove contamination that occurred
during specimen preparation. Only chemicals appropriate for
the given metal or alloy should be used. Care must be exercised
not to contaminate cleaned specimens. Also, it is suggested that
specimens be examined for cracks before exposure to the test
environment.
10. Stress Calculations
10.1 The equations given in this section are valid only for
stresses below the elastic limit of the material. At stresses
above the elastic limit, but below the engineering yield strength
(0.2 % offset) only a small error results from use of the
equations (see Note 1). The equations must not be used above
the yield strength of the material. The following paragraphs
give relationships used to calculate the maximum longitudinal
stress in the outer fibers of the specimen convex surface.
Calculations for transverse stress or edge-to-edge variation of
longitudinal stress are not given; the specimen dimensions are
chosen to minimize these stresses consistent with convenient
FIG. 2 Stressing Jig and Two-Point Loaded Specimen with Holder
(approximately 1⁄4 actual size)
FIG. 3 Specimen Loading Apparatus for Three-Point Loaded
Beam Specimens with Integral Deflection Gage
G 39 – 99 (2005)
3
Copyright by ASTM Int'l (all rights reserved);
Reproduction authorized per License Agreement with Kathe Hooper (ASTMIHS Account); Mon May 16 17:31:51 EDT 2005
Copyright ASTM International
Provided by IHS under license with ASTM Licensee=MHI - NAGOYA related to 3944000/3944000013
Not for Resale, 01/07/2008 21:00:02 MSTNo reproduction or networking permitted without license from IHS
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use of the specimens. The specimen dimensions given here can
be modified to suit specific needs. However, if this is done, the
approximate specimen proportions should be preserved to give
a similar stress distribution (for instance, if the length is
doubled the width should be doubled also).
10.1.1 When specimens are tested at elevated temperatures,
the possibility of stress relaxation should be investigated.
Relaxation can be estimated from known creep data for the
specimen, holder, and insulating materials. Differences in
thermal expansion also should be considered.
10.1.2 The applied stress is determined by specimen dimen-
sions and the amount of bending deflection. Thus, the errors in
the applied stress are related to those inherent in the use of
measuring instruments (micrometers, deflection gages, strain
gages, and so forth). For the two-point loaded specimens, most
measured values lie within 5 % of the values calculated in
accordance with the procedures given in 10.2.1-10.2.3, as
reported by Haaijer and Loginow (4). The calculated stress
applies only to the state of stress before initiation of cracks.
Once cracking is initiated, the stress at the tip of the crack, as
well as in uncracked areas, has changed.
10.2 Two-Point Loaded Specimens—This specimen can be
used for materials that do not deform plastically when bent to
(L − H)/H = 0.01 (see section 10.2.5). The specimens shall be
approximately 25 by 254-mm (1- by 10-in.) flat strips cut to
appropriate lengths to produce the desired stress after bending
as shown in Fig. 1(a).
10.2.1 Calculate the elastic stress in the outer fiber at
midlength of the two-point loaded specimens from relation-
ships derived from a theoretically exact large-deflection analy-
sis (4), as follows:
e 5 4~2E 2 K! Fk2 2 2E 2 K12 S tHDG tH (1)
and
~L 2 H!/H 5 [K/2E 2 K!# 2 1 (2)
where:
L = length of specimen,
H = distance between supports (holder span),
t = thickness of specimen,
e = maximum tensile strain,
K = *0
p/2 (1 − k2 sin2z) −1/2 dz (complete elliptic integral of
the first kind),
E = *0
p/2 (1 − k2 sin2z)1/2 dz (complete elliptic integral of the
second kind),
k = sin u/2,
u = maximum slope of the specimen, that is, at the end of
the specimen, and
z = integration parameter (4).
10.2.2 The mathematical analysis establishes that Eq 1 and
Eq 2 define the relationship between the strain e and (L − H)/H
in parameter form. The common parameter in these equations
is the modulus k of the elliptic integrals. Thus, the following
procedure can be used to determine the specimen length L that
is required to produce a given maximum stress s:
10.2.2.1 Divide the stress s by the modulus of elasticity Em
to determine the strain e.
e 5 s/E m
10.2.2.2 From Eq 1 determine the value of k corresponding
to the required value of e.
10.2.2.3 By using appropriate values of k, evaluate Eq 2 for
L. To facilitate calculations, a computer can be used to generate
a table for a range of strain e and H/t with resultant values of
(L − H)/H.
10.2.3 Calculate the deflection of the specimen as follows:
y/H 5 k/~2E 2 K! (3)
where:
y = maximum deflection.
The other quantities are given in 10.2.1.
This relationship can be used as a simple check to ensure that
the maximum stress does not exceed the proportional limit. If
it should exceed the proportional limit, the measured deflection
will be greater than that calculated from Eq 3.
10.2.4 As an alternative method the following approximate
relationship can be used for calculating specimen length:
L 5 ~ktE/s! sin21 ~Hs/ktE! (4)
where:
L = specimen length,
s = maximum stress,
E = modulus of elasticity,
H = holder span,
t = thickness of specimen, and
k = 1.280, an empirical constant.
This equation can be solved by computer, by trial and error,
or by using a series expansion of the sine function. Eq 4 shall
be used only when the quantity (Hs/ktE) is less than 1.0.
10.2.5 Choose specimen thickness and length and holder
span to obtain a value for (L − H)/H of between 0.01 and 0.50,
thus keeping the error of stress within acceptable limits. A
specimen thickness of about 0.8 to 1.8 mm (0.03 to 0.07 in.)
and a holder span of 177.8 to 215.9 mm (7.00 to 8.50 in.) has
been very convenient when working with very high strength
steels and aluminum alloys with applied stresses ranging from
about 205 MPa (30 ksi) for aluminum to 1380 MPa (200 ksi)
for steel. The specimen dimensions given here can be modified
to suit specific needs. However, if this is done, approximate
dimensional proportions shall be preserved.
10.2.6 In two-point loaded specimens the maximum stress
occurs at midlength of the specimen and decreases to zero at
specimen ends.
10.2.7 The two-point loaded specimen is p