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ASTM - Designation E 1876 09 Standard Test Method for...

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Designation: E 1876 – 09 Standard Test Method for Dynamic Young’s Modulus, Shear Modulus, and Poisson’s Ratio by Impulse Excitation of Vibration 1 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 ( ´ ) 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 elastic materials at ambient temperatures. Specimens of these materials possess specific mechanical resonant frequencies that are determined by the elastic modu- lus, 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 tempera- tures 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 proper- ties 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 toler- ances, 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 standard. No other units of measurement are included in this 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 appro- priate safety and health practices and determine the applica- bility of regulatory limitations prior to use. 2. Referenced Documents 2.1 ASTM Standards: 2 C 215 Test Method for Fundamental Transverse, Longitu- dinal, and Torsional Resonant Frequencies of Concrete Specimens C 372 Test Method for Linear Thermal Expansion of Por- celain Enamel and Glaze Frits and Fired Ceramic Whitew- are Products by the Dilatometer Method C 623 Test Method for Young’s Modulus, Shear Modulus, and Poisson’s Ratio for Glass and Glass-Ceramics by Resonance C 747
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