Application
News
No.
i249
Material Testing System
Three-Point Bending Flexural Test of Plastics
(ISO 178, JIS K 7171)
LAAN-A-AG-E014
Q Introduction
Based on their thermal properties and light weight,
plastics have recently come to be used in a variety of
applications and sectors, from small gears to airplane
fuselages. A variety of tests must be performed to
evaluate these materials, from tensile tests to flexural
tests and compression tests. Of these, a flexural test is
performed to examine material characteristics when
flexed by an external force. Because components
subject to an external force will flex in reaction to a
bending moment, the flexural test is one of the most
basic tests used to evaluate materials.
Previous testing standards described a three-point
bending flexural test for plastics did not require the
deflection-measuring system. As a result, tests detected
specimen, instrument deflection and indenter
depression together as a total, which is a method not
suited to accurate measurements of flexural modulus of
elasticity. New standards (ISO178:2010, Amd.1:2013
and JIS K 7171:2016) have been revised and include
either use of a deflection-measuring system with "ISO
9513 Class 1" absolute accuracy of within 1 %, or use
of compliance correction to remove testing machine
deflection. A three-point bending flexural test was
performed on PC, PVC, and GFRP specimens in
compliance with the new standards, where the flexural
modulus of elasticity of each plastic was calculated
using compliance correction and the deflection-
measuring instrument.
Q Measurement System
Measurements were performed using an AGS-X Table-
Top Type Universal Testing Instrument and the
deflection-measuring system with a measurement
accuracy of within 3.4 μm. The requirements of the
new standards when mean specimen thickness is 4 mm
are shown in Fig. 1. The value relevant to flexural
modulus calculation is 341 μm, where a deflection
measuring instrument with absolute accuracy of 1 % of
this value (3.4 μm) is required (Fig. 1 shows the flexural
modulus of elasticity calculated based on the slope at
two points, though the flexural modulus of elasticity
could also be calculated based on the linear regression
of the curve).
Table 1, 2 and 3 show details of the instruments,
specimens, and test conditions used. Fig. 2 shows the
test apparatus layout. The new standards describe a
method A that uses a constant test speed, and a
method B that increases the test speed after flexural
modulus measurement. Test method A was used with
GFRP that has a small maximum flexural strain, and test
method B was used with PC and PVC that have a large
maximum flexural strain, and the test speed
changeover point was set at 0.3 % flexural strain.
Furthermore, since the proportion of external force
accounted for by shearing force increases when the
span between supports is small
1)
, standards recommend
the span between specimen supports is 16±1 times the
mean specimen thickness.
Flexural stress
Flexural strain
1
0.05 %
2
0.25 %
Flexural modulus of elasticity (MPa) (
1
-
2
) / (
2
-
1
)
0.05 %
85 µm 426 µm
341±3.4 µm
Thickness
of 4mm
Deection-measuring system with
absolute accuracy of 3.4m required
0.25 %
426 µm
Test data
Modulus of elasticity
Fig. 1 New Standard Requirements
Testing Machine : AGS-X
Load cell : 1 kN
Deflection-measuring system : Deflection measuring device
Bending jigs : Loading edge R5, supports R5
Table 1 Equipment Details
Dimensions : 80 mm × 10 mm × 4 mm
Type : PC, PVC, GFRP (short fiber)
Table 2 Specimen Information
Test speed : 2 mm/min
Test speed after measurement of flexural
modulus of elasticity
: 100 mm/min (method B)
Span between specimen supports : 64 mm
Table 3 Test Conditions
Fig. 2 Attachment of deflection-measuring system
to Testing Machine
Flexural strength
[MPa]
Flexural modulus
of elasticity [GPa]
PC 104.4 2.44
PVC 123.0 3.48
GFRP 179.4 12.1
Flexural Modulus
of Elasticity [GPa]
Deflection-Measuring
System
Flexural Modulus
of Elasticity [GPa]
Compliance Correction
Difference
(%)
PC 2.44 2.42 1.1
PVC 3.48 3.41 2.1
GFRP 12.1 11.7 3.3
Application
News
No.
© Shimadzu Corporation, 2016
For Research Use Only. Not for use in diagnostic procedures.
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www.shimadzu.com/an/
i249
First Edition: Dec. 2016
Q Test Results
Fig. 3 shows a flexural stress/flexural strain curves.
Flexural strain on the horizontal axis was calculated
based on results measured using the deflection-
measuring system. The curve shows a sudden decrease
in flexural stress with GFRP, but no sudden decrease in
flexural stress with PC and PVC as these specimens did
not break suddenly. Table 4 shows the results obtained
for flexural strength and flexural modulus of elasticity
for each material.
Table 5 shows the difference in flexural modulus when
calculated based on the deflection-measuring system
and compliance correction. The results show a
difference of around 1 to 2 % for plastics like PC and
PVC with a flexural modulus of elasticity of 2 to 3 GPa,
and a difference of around 3 % for specimens like
GFRP with a high flexural modulus of elasticity.
0
40
80
120
160
200
024681012
Flexural stress (MPa)
Flexural strain (%)
PC
PVC
GFRP
Fig. 3 Test Results
Table 4 Test Results
Table 5 Difference in Flexural Modulus of Elasticity Results
Using Compliance Correction and Deflection-Measuring
System
Deflection according to compliance correction and the
deflection-measuring system is compared in Fig. 4,
which shows deflection obtained by each method
during the initial period of the test of GFRP. Results
obtained from the deflection-measuring system are
represented by the solid line, and results obtained by
compliance correction are represented by the dotted
line. The graph shows the difference between the lines.
0
10
20
30
40
0 0.05 0.1 0.15 0.2 0.25 0.3
Flexural stress (MPa)
Flexural strain (%)
GFRP (Deection-measuring system)
GFRP (Compliance Correction)
Fig. 4 Flexural Stress/Flexural Strain Curve of GFRP
(Flexural strain 0 % to 0.3 %)
Q Conclusion
Plastics were subjected to a three-point bending flexural
test with a method compliant with new standards
(ISO178:2010, Amd.1:2013 and JIS K 7171:2016).
Results showed the higher the flexural modulus of
elasticity of a material, the larger the difference
between the flexural modulus of elasticity calculated
using a deflection-measuring system and compliance
correction. Exact measurement of displacement with a
deflection-measuring system is required for a proper
evaluation of materials in compliance with the new
standards.
The equipment setup employed in this article can be
used to perform three-point bending flexural tests of
plastics in compliance with the new standards.
Reference
1) T
akeshi Murakami, Shimadzu Review Vol. 71, Issue 3/4 (2014)