ASTM E1876-00

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.
1.5 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.

General Information

• Status: Historical
• Publication Date: 09-Oct-2001
• ICS: 81.060.20 - Ceramic products
• Technical Committee: E28 - Mechanical Testing

Relations

• Replaces: ASTM E1876-99 - Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio by Impulse Excitation of Vibration
• Effective Date: 10-Oct-2001
• Replaced By: ASTM E1876-01 - Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio by Impulse Excitation of Vibration
• Effective Date: 10-Oct-2001
• Referred By: ASTM E1875-20a - Standard Test Method for Dynamic Young's Modulus, Shear Modulus, and Poisson's Ratio by Sonic Resonance
• Effective Date: 10-Oct-2001
• Referred By: ASTM E2001-18 - Standard Guide for Resonant Ultrasound Spectroscopy for Defect Detection in Both Metallic and Non-metallic Parts
• Effective Date: 10-Oct-2001
• Referred By: ASTM F3122-14(2022) - Standard Guide for Evaluating Mechanical Properties of Metal Materials Made via Additive Manufacturing Processes
• Effective Date: 10-Oct-2001
• Referred By: ASTM B925-15(2022) - Standard Practices for Production and Preparation of Powder Metallurgy (PM) Test Specimens
• Effective Date: 10-Oct-2001
• Referred By: ASTM F2516-22 - Standard Test Method for Tension Testing of Nickel-Titanium Superelastic Materials
• Effective Date: 10-Oct-2001
• Referred By: ASTM C1259-21 - Standard Test Method for Dynamic Young’s Modulus, Shear Modulus, and Poisson’s Ratio for Advanced Ceramics by Impulse Excitation of Vibration
• Effective Date: 10-Oct-2001
• Referred By: ASTM C1198-20 - Standard Test Method for Dynamic Young’s Modulus, Shear Modulus, and Poisson’s Ratio for Advanced Ceramics by Sonic Resonance
• Effective Date: 10-Oct-2001
• Referred By: ASTM E2546-15(2023) - Standard Practice for Instrumented Indentation Testing
• Effective Date: 10-Oct-2001

Standards Content (Sample)

NOTICE: This standard has either been superseded and replaced by a new version or discontinued.
Contact ASTM International (www.astm.org) for the latest information.
Designation: E 1876 – 00 An American National Standard
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 2. Referenced Documents
1.1 This test method covers determination of the dynamic 2.1 ASTM Standards:
elastic properties of elastic materials at ambient temperatures. C 215 Test Method for Fundamental Transverse, Longitu-
2
Specimens of these materials possess specific mechanical dinal, and Torsional Frequencies of Concrete Specimens
resonant frequencies that are determined by the elastic modu- C 372 Test Method for Linear Thermal Expansion of Por-
lus, mass, and geometry of the test specimen. The dynamic celain Enamel and Glaze Frits and Fried Ceramic Whitew-
3
elastic properties of a material can therefore be computed if the are Products by the Dilatometer Method
geometry, mass, and mechanical resonant frequencies of a C 623 Test Method for Young’s Modulus, Shear Modulus,
suitable (rectangular or cylindrical geometry) test specimen of and Poisson’s Ratio for Glass and Glass-Ceramics by
3
that material can be measured. Dynamic Young’s modulus is Resonance
determined using the resonant frequency in either the flexural C 747 Test Method for Moduli of Elasticity and Fundamen-
or longitudinal mode of vibration. The dynamic shear modulus, tal Frequencies of Carbon and Graphite Materials by Sonic
4
or modulus of rigidity, is found using torsional resonant Resonance
vibrations. Dynamic Young’s modulus and dynamic shear C 848 Test Method for Young’s Modulus, Shear Modulus,
modulus are used to compute Poisson’s ratio. and Poisson’s Ratio for Ceramic Whitewares by Reso-
3
1.2 Although not specifically described herein, this test nance
method can also be performed at cryogenic and high tempera- C 1161 Test Method for Flexural Strength of Advanced
4
tures with suitable equipment modifications and appropriate Ceramics at Ambient Temperature
modifications to the calculations to compensate for thermal C 1198 Test Method for Dynamic Young’s Modulus, Shear
expansion. Modulus, and Poisson’s Ratio for Advanced Ceramics by
4
1.3 There are material specific ASTM standards that cover Sonic Resonance
the determination of resonance frequencies and elastic proper- C 1259 Test Method for Young’s Modulus, Shear Modulus
ties of specific materials by sonic resonance or by impulse and Poisson’s Ratio for Advanced Ceramics by Impulse
4
excitation of vibration. Test Methods C 215, C 623, C 747, Excitation of Vibration
C 848, C 1198, and C 1259 may differ from this test method in E 6 Terminology Relating to Methods of Mechanical Test-
5
several areas (for example; sample size, dimensional toler- ing
ances, sample preparation). The testing of these materials shall E 177 Practice for Use of the Terms Precision and Bias in
6
be done in compliance with these material specific standards. ASTM Test Methods
Where possible, the procedures, sample specifications and
3. Terminology
calculations are consistent with these test methods.
1.4 The values stated in SI units are to be regarded as the 3.1 Definitions—The definitions of terms relating to me-
chanical testing appearing in Terminology E 6 should be
standard.
1.5 This standard does not purport to address all of the considered as applying to the terms used in this test method.
3.1.1 dynamic mechanical measurement, n—a technique in
safety concerns, if any, associated with its use. It is the
responsibility of the user of this standard to establish appro- which either the modulus or damping, or both, of a substance
under oscillatory applied force or displacement is measured as
priate safety and health practices and determine the applica-
bility of regulatory limitations prior to use. a function of temperature, frequency, or time, or combination
thereof.
1 2
This test method is under the jurisdiction of ASTM Committee E28 on Annual Book of ASTM Standards, Vol 04.02.
3
Mechanical Testing and is the direct responsibility of Subcommittee E28.03 on Annual Book of ASTM Standards, Vol 15.02.
4
Elastic Properties. Annual Book of ASTM Standards, Vol 15.01.
5
Current edition approved Dec. 10, 2000. Published February 2001. Last previous Annual Book of ASTM Standards, Vol 03.01.
6
edition E 1876-97. Annual Book of ASTM Standards, Vol 14.02.
Copyright © ASTM, 100 Barr Harbor Drive, West Conshohocken, PA 19428-2959, United States.
1

---------------------- Page: 1 ----------------------
E 1876
–2
3.1.2 elastic limit [F
...