Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio by Impulse Excitation of Vibration

SCOPE
1.1 This test method covers determination of the dynamic elastic properties of elastic materials 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 either the flexural or longitudinal 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 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.
1.3 There are material specific ASTM standards that cover the determination of resonance frequencies and elastic properties of specific materials by sonic resonance or by impulse excitation of vibration. Test Methods C 215, C 623, C 747, C 848, C 1198, and C 1259 may differ from this test method in several areas (for example; sample size, dimensional tolerances, sample preparation). The testing of these materials shall be done in compliance with these material specific standards. Where possible, the procedures, sample specifications and calculations are consistent with these test methods.
1.4 The values stated in SI units are to be regarded as the standard.
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 appropriate safety and health practices and determine the applicability of regulatory limitations prior to use.

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31-Aug-2006
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ASTM E1876-01(2006) - Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio by Impulse Excitation of Vibration
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NOTICE: This standard has either been superseded and replaced by a new version or withdrawn.
Contact ASTM International (www.astm.org) for the latest information
Designation: E 1876 – 01 (Reapproved 2006)
Standard Test Method for
Dynamic Young’s Modulus, Shear Modulus, and Poisson’s
1
Ratio by Impulse Excitation of Vibration
This standard is issued under the fixed designation E 1876; 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 1.5 This standard does not purport to address all of the
safety concerns, if any, associated with its use. It is the
1.1 This test method covers determination of the dynamic
responsibility of the user of this standard to establish appro-
elastic properties of elastic materials at ambient temperatures.
priate safety and health practices and determine the applica-
Specimens of these materials possess specific mechanical
bility of regulatory limitations prior to use.
resonant frequencies that are determined by the elastic modu-
lus, mass, and geometry of the test specimen. The dynamic
2. Referenced Documents
elastic properties of a material can therefore be computed if the
2
2.1 ASTM Standards:
geometry, mass, and mechanical resonant frequencies of a
C 215 Test Method for Fundamental Transverse, Longitu-
suitable (rectangular or cylindrical geometry) test specimen of
dinal, and Torsional Resonant Frequencies of Concrete
that material can be measured. Dynamic Young’s modulus is
Specimens
determined using the resonant frequency in either the flexural
C 372 Test Method for Linear Thermal Expansion of Por-
orlongitudinalmodeofvibration.Thedynamicshearmodulus,
celain Enamel and Glaze Frits and Fired Ceramic Whitew-
or modulus of rigidity, is found using torsional resonant
are Products by the Dilatometer Method
vibrations. Dynamic Young’s modulus and dynamic shear
C 623 Test Method for Young’s Modulus, Shear Modulus,
modulus are used to compute Poisson’s ratio.
and Poisson’s Ratio for Glass and Glass-Ceramics by
1.2 Although not specifically described herein, this test
Resonance
method can also be performed at cryogenic and high tempera-
C 747 Test Method for Moduli of Elasticity and Fundamen-
tures with suitable equipment modifications and appropriate
tal Frequencies of Carbon and Graphite Materials by Sonic
modifications to the calculations to compensate for thermal
Resonance
expansion.
C 848 Test Method for Young’s Modulus, Shear Modulus,
1.3 There are material specific ASTM standards that cover
and Poisson’s Ratio For Ceramic Whitewares by Reso-
the determination of resonance frequencies and elastic proper-
nance
ties of specific materials by sonic resonance or by impulse
C 1161 Test Method for Flexural Strength of Advanced
excitation of vibration. Test Methods C 215, C 623, C 747,
Ceramics at Ambient Temperature
C 848, C 1198, and C 1259 may differ from this test method in
C 1198 Test Method for Dynamic Young’s Modulus, Shear
several areas (for example; sample size, dimensional toler-
Modulus, and Poisson’s Ratio for Advanced Ceramics by
ances, sample preparation). The testing of these materials shall
Sonic Resonance
be done in compliance with these material specific standards.
C 1259 Test Method for Dynamic Young’s Modulus, Shear
Where possible, the procedures, sample specifications and
Modulus, and Poisson’s Ratio for Advanced Ceramics by
calculations are consistent with these test methods.
Impulse Excitation of Vibration
1.4 The values stated in SI units are to be regarded as the
E6 Terminology Relating to Methods of Mechanical Test-
standard.
ing
1
This test method is under the jurisdiction of ASTM Committee E28 on
2
Mechanical Testing and is the direct responsibility of Subcommittee E28.04 on For referenced ASTM standards, visit the ASTM website, www.astm.org, or
Uniaxial Testing. contact ASTM Customer Service at service@astm.org. For Annual Book of ASTM
Current edition approved Sept. 1, 2006. Published September 2006. Originally Standards volume information, refer to the standard’s Document Summary page on
approved in 1997. Last previous edition approved in 2001 as E 1876 – 01. the ASTM website.
Copyright © ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.
1

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E 1876 – 01 (2006)
E 177 Practice for Use of the Terms Precision and Bias in 3.2.5 in-plane flexure, n—for rectangular parallelepiped
ASTM Test Methods geometries, a flexure mode in which the direction of displace-
ment is in the major plane of the test specimen.
3. Terminology
3.2.6 isotropic, adj—the condition of a specimen such that
thevaluesoftheelasticpropertiesarethesameinalldirections
3.1 Definitions—The definitions of terms relating to me-
in the material. Mat
...

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