ASTM C1259-08
(Test Method)Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio for Advanced Ceramics by Impulse Excitation of Vibration
Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio for Advanced Ceramics by Impulse Excitation of Vibration
SIGNIFICANCE AND USE
This test method may be used for material development, characterization, design data generation, and quality control purposes.
This test method is specifically appropriate for determining the modulus of advanced ceramics that are elastic, homogeneous, and isotropic (1).
This test method addresses the room temperature determination of dynamic moduli of elasticity of slender bars (rectangular cross-section) and rods (cylindrical). Flat plates and disks may also be measured similarly, but the required equations for determining the moduli are not addressed herein.
This dynamic test method has several advantages and differences from static loading techniques and from resonant techniques requiring continuous excitation.
The test method is nondestructive in nature and can be used for specimens prepared for other tests. The specimens are subjected to minute strains; hence, the moduli are measured at or near the origin of the stress-strain curve, with the minimum possibility of fracture.
The impulse excitation test uses an impact tool and simple supports for the test specimen. There is no requirement for complex support systems that require elaborate setup or alignment.
This technique can be used to measure resonant frequencies alone for the purposes of quality control and acceptance of test specimens of both regular and complex shapes. A range of acceptable resonant frequencies is determined for a specimen with a particular geometry and mass. Deviations in specimen dimensions or mass and internal flaws (cracks, delaminations, inhomogeneities, porosity, etc) will change the resonant frequency for that specimen. Any specimen with a resonant frequency falling outside the prescribed frequency range is rejected. The actual modulus of each specimen need not be determined as long as the limits of the selected frequency range are known to include the resonant frequency that the specimen must possess if its geometry and mass and internal structure are within specified t...
SCOPE
1.1 This test method covers determination of the dynamic elastic properties of advanced ceramics at ambient temperatures. Specimens of these materials possess specific mechanical resonant frequencies that are determined by the elastic modulus, mass, and geometry of the test specimen. The dynamic elastic properties of a material can therefore be computed if the geometry, mass, and mechanical resonant frequencies of a suitable (rectangular, cylindrical, or disc geometry) test specimen of that material can be measured. Dynamic Young's modulus is determined using the resonant frequency in the flexural mode of vibration. The dynamic shear modulus, or modulus of rigidity, is found using torsional resonant vibrations. Dynamic Young's modulus and dynamic shear modulus are used to compute Poisson's ratio.
1.2 This test method measures the fundamental resonant frequency of test specimens of suitable geometry by exciting them mechanically by a singular elastic strike with an impulse tool. Specimen supports, impulse locations, and signal pick-up points are selected to induce and measure specific modes of the transient vibrations. A transducer (for example, contact accelerometer or non-contacting microphone) senses the resulting mechanical vibrations of the specimen and transforms them into electric signals. (See Fig. 1.) The transient signals are analyzed, and the fundamental resonant frequency is isolated and measured by the signal analyzer, which provides a numerical reading that is (or is proportional to) either the frequency or the period of the specimen vibration. The appropriate fundamental resonant frequencies, dimensions, and mass of the specimen are used to calculate dynamic Young's modulus, dynamic shear modulus, and Poisson's ratio.
1.3 Although not specifically described herein, this test method can also be performed at cryogenic and high temperatures with suitable equipment modifications and appropriate modification...
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Designation:C1259–08
Standard Test Method for
Dynamic Young’s Modulus, Shear Modulus, and Poisson’s
Ratio for Advanced Ceramics by Impulse Excitation of
1
Vibration
This standard is issued under the fixed designation C 1259; 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 test method covers determination of the dynamic
elastic properties of advanced ceramics at ambient tempera-
tures. Specimens of these materials possess specific mechani-
cal resonant frequencies that are determined by the elastic
modulus, mass, and geometry of the test specimen. The
dynamic elastic properties of a material can therefore be
computed if the geometry, mass, and mechanical resonant
FIG. 1 Block Diagram of Typical Test Apparatus
frequencies of a suitable (rectangular, cylindrical, or disc
geometry) test specimen of that material can be measured.
Dynamic Young’s modulus is determined using the resonant modifications to the calculations to compensate for thermal
frequencyintheflexuralmodeofvibration.Thedynamicshear expansion, in accordance with sections 9.2, 9.3, and 10.4 of
modulus, or modulus of rigidity, is found using torsional C1198.
resonant vibrations. Dynamic Young’s modulus and dynamic 1.4 Where possible, the procedures, sample specifications,
shear modulus are used to compute Poisson’s ratio. and calculations in this test method are consistent with Test
1.2 This test method measures the fundamental resonant Methods C 623, C 747, C 848, and C 1198.
frequency of test specimens of suitable geometry by exciting 1.5 This test method uses test specimens in bar, rod, and
them mechanically by a singular elastic strike with an impulse disc geometries. The rod and bar geometries are described in
tool. Specimen supports, impulse locations, and signal pick-up the main body. The disc geometry is addressed in Annex A1.
pointsareselectedtoinduceandmeasurespecificmodesofthe 1.6 A modification of this test method can be used for
transient vibrations. A transducer (for example, contact accel-
quality control and nondestructive evaluation, using changes in
erometer or non-contacting microphone) senses the resulting resonant frequency to detect variations in specimen geometry
mechanical vibrations of the specimen and transforms them
and mass and internal flaws in the specimen. (See 5.5).
into electric signals. (See Fig. 1.) The transient signals are 1.7 The values stated in SI units are to be regarded as the
analyzed, and the fundamental resonant frequency is isolated standard.
and measured by the signal analyzer, which provides a numeri- 1.8 This standard does not purport to address all of the
cal reading that is (or is proportional to) either the frequency or safety concerns, if any, associated with its use. It is the
the period of the specimen vibration. The appropriate funda- responsibility of the user of this standard to establish appro-
mental resonant frequencies, dimensions, and mass of the priate safety and health practices and determine the applica-
specimen are used to calculate dynamic Young’s modulus, bility of regulatory limitations prior to use.
dynamic shear modulus, and Poisson’s ratio.
2. Referenced Documents
1.3 Although not specifically described herein, this test
2
method can also be performed at cryogenic and high tempera- 2.1 ASTM Standards:
C 372 Test Method for Linear Thermal Expansion of Por-
tures with suitable equipment modifications and appropriate
celain Enamel and Glaze Frits and Fired Ceramic Whitew-
are Products by the Dilatometer Method
1
This test method is under the jurisdiction of ASTM Committee C28 on
2
Advanced Ceramics and is the direct responsibility of Subcommittee C28.01 on For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Mechanical Properties and Performance contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Current edition approved Jan. 1, 2008. Published January 2008. Originally Standards volume information, refer to the standard’s Document Summary page on
approved in 1994. Last previous edition approved in 2001 as C 1259–01. the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
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C1259–08
C 623 Test Method for Young’s Modulus, Shear Modulus, (E 6)
and Poisson’s Ratio for Glass and Glass-Ceramics by
–2
3.1.6 proportional limit [FL ], n—the greatest stress that a
Resonance
material is capable of sustaining without deviation from
C 747 Test Method for Moduli of Elasticity and Fundamen-
proportion
...
This document is not anASTM standard and is intended only to provide the user of anASTM standard an indication of what changes have been made to the previous version. Because
it may not be technically possible to adequately depict all changes accurately, ASTM recommends that users consult prior editions as appropriate. In all cases only the current version
of the standard as published by ASTM is to be considered the official document.
Designation:C1259–01 Designation: C 1259 – 08
Standard Test Method for
Dynamic Young’s Modulus, Shear Modulus, and Poisson’s
Ratio for Advanced Ceramics by Impulse Excitation of
1
Vibration
This standard is issued under the fixed designation C 1259; 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
1.1This test method covers determination of the dynamic elastic properties of advanced ceramics at ambient temperatures.
Specimens of these materials possess specific mechanical resonant frequencies that are determined by the elastic modulus, mass,
and geometry of the test specimen. The dynamic elastic properties of a material can therefore be computed if the geometry, mass,
and mechanical resonant frequencies of a suitable (rectangular or cylindrical geometry) test specimen of that material can be
measured. Dynamic Young’s modulus is determined using the resonant frequency in the flexural mode of vibration. The dynamic
shear modulus, or modulus of rigidity, is found using torsional resonant vibrations. DynamicYoung’s modulus and dynamic shear
modulus are used to compute Poisson’s ratio.
1.2Although not specifically described herein, this test method can also be performed at cryogenic and high temperatures with
suitable equipment modifications and appropriate modifications to the calculations to compensate for thermal expansion.
1.3Where possible, the procedures, sample specifications, and calculations in this test method are consistent with Test Methods
C623, C747, C848, and C1198.
1.4This test method uses test specimens in bar, rod, and disc geometries. The rod and bar geometries are described in the main
body. The disc geometry is addressed in
1.1 This test method covers determination of the dynamic elastic properties of advanced ceramics at ambient temperatures.
Specimens of these materials possess specific mechanical resonant frequencies that are determined by the elastic modulus, mass,
and geometry of the test specimen. The dynamic elastic properties of a material can therefore be computed if the geometry, mass,
and mechanical resonant frequencies of a suitable (rectangular, cylindrical, or disc geometry) test specimen of that material can
be measured. Dynamic Young’s modulus is determined using the resonant frequency in the flexural mode of vibration. The
dynamic shear modulus, or modulus of rigidity, is found using torsional resonant vibrations. Dynamic Young’s modulus and
dynamic shear modulus are used to compute Poisson’s ratio.
1.2 This test method measures the fundamental resonant frequency of test specimens of suitable geometry by exciting them
mechanically by a singular elastic strike with an impulse tool. Specimen supports, impulse locations, and signal pick-up points are
selected to induce and measure specific modes of the transient vibrations. A transducer (for example, contact accelerometer or
non-contacting microphone) senses the resulting mechanical vibrations of the specimen and transforms them into electric signals.
(See Fig. 1.) The transient signals are analyzed, and the fundamental resonant frequency is isolated and measured by the signal
analyzer, which provides a numerical reading that is (or is proportional to) either the frequency or the period of the specimen
vibration.The appropriate fundamental resonant frequencies, dimensions, and mass of the specimen are used to calculate dynamic
Young’s modulus, dynamic shear modulus, and Poisson’s ratio.
1.3 Although not specifically described herein, this test method can also be performed at cryogenic and high temperatures with
suitable equipment modifications and appropriate modifications to the calculations to compensate for thermal expansion, in
accordance with sections 9.2, 9.3, and 10.4 of C1198.
1.4 Where possible, the procedures, sample specifications, and calculations in this test method are consistent withTest Methods
C 623, C 747, C 848, and C 1198.
1.5 This test method uses test specimens in bar, rod, and disc geometries. The rod and bar geometries are described in the main
body. The disc geometry is addressed in Annex A1.
1.5The values stated in SI units are to be regarded as the standard.
1
This test method is under the jurisdiction of ASTM Committee C28 on Advanced Ceramics and is the direct responsibility of Subcommittee C28.01 on Properties and
Performa
...
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