ASTM_E_1875_-_13.pdf

Designation:E187513Standard Test Method forDynamic Youngs Modulus,Shear Modulus,and PoissonsRatio by Sonic Resonance1This standard is issued under the fixed designation E1875;the number immediately following the designation indicates the year oforiginal adoption or,in the case of revision,the year of last revision.A number in parentheses indicates the year of last reapproval.Asuperscript epsilon()indicates an editorial change since the last revision or reapproval.1.Scope*1.1 This test method covers the determination of the dy-namic elastic properties of elastic materials.Specimens ofthese materials possess specific mechanical resonant frequen-cies that are determined by the modulus of elasticity,mass,andgeometry of the test specimen.Therefore,the dynamic elasticproperties of a material can be computed if the geometry,mass,and mechanical resonant frequencies of a suitable test speci-men of that material can be measured.Dynamic Youngsmodulus is determined using the resonant frequency in theflexural mode of vibration.The dynamic shear modulus,ormodulus of rigidity,is found using torsional resonant vibra-tions.Dynamic Youngs modulus and dynamic shear modulusare used to compute Poissons ratio.1.2 This test method is specifically appropriate for materialsthat are elastic,homogeneous,and isotropic(1).2Materials ofa composite character(particulate,whisker,or fiber reinforced)may be tested by this test method with the understanding thatthe character(volume fraction,size,morphology,distribution,orientation,elastic properties,and interfacial bonding)of thereinforcement in the test specimen will have a direct effect onthe elastic properties.These reinforcement effects must beconsidered in interpreting the test results for composites.Thistest method is not satisfactory for specimens that have cracksor voids that are major discontinuities in the specimen.Neitheris the test method satisfactory when these materials cannot befabricated in a uniform rectangular or circular cross section.1.3 A high-temperature furnace and cryogenic cabinet aredescribed for measuring the dynamic elastic moduli as afunction of temperature from 195 to 1200C.1.4 Modification of this test method for use in qualitycontrol is possible.A range of acceptable resonant frequenciesis determined for a specimen with a particular geometry andmass.Any specimen with a frequency response falling outsidethis frequency range is rejected.The actual modulus of eachspecimen need not be determined as long as the limits of theselected frequency range are known to include the resonantfrequency that the specimen must possess if its geometry andmass are within specified tolerances.1.5 There are material-specific ASTM standards that coverthe determination of resonance frequencies and elastic proper-ties of specific materials by sonic resonance or by impulseexcitation of vibration.Test Methods C215,C623,C747,C848,C1198,and C1259 may differ from this test method in severalareas(for example;sample size,dimensional tolerances,sample preparation).The testing of these materials shall bedone in compliance with these material specific standards.Where possible,the procedures,sample specifications,andcalculations are consistent with these test methods.1.6 The values stated in SI units are to be regarded asstandard.No other units of measurement are included in thisstandard.1.7 This standard does not purport to address all of thesafety concerns,if any,associated with its use.It is theresponsibility 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 Documents2.1 ASTM Standards:3C215 TestMethodforFundamentalTransverse,Longitudinal,and Torsional Resonant Frequencies ofConcrete SpecimensC623 Test Method for Youngs Modulus,Shear Modulus,and Poissons Ratio for Glass and Glass-Ceramics byResonanceC747 Test Method for Moduli of Elasticity and FundamentalFrequencies of Carbon and Graphite Materials by SonicResonance1This test method is under the jurisdiction of ASTM Committee E28 onMechanical Testing and is the direct responsibility of Subcommittee E28.04 onUniaxial Testing.Current edition approved Nov.1,2013.Published May 2014.Originallyapproved in 1997.Last previous edition approved in 2008 as E1875-08.DOI:10.1520/E1875-13.2The boldface numbers in parentheses refer to a list of references at the end ofthis standard.3For referenced ASTM standards,visit the ASTM website,www.astm.org,orcontact ASTM Customer Service at serviceastm.org.For Annual Book of ASTMStandards volume information,refer to the standards Document Summary page onthe ASTM website.*A Summary of Changes section appears at the end of this standardCopyright ASTM International,100 Barr Harbor Drive,PO Box C700,West Conshohocken,PA 19428-2959.United States1 C848 Test Method for Youngs Modulus,Shear Modulus,and Poissons Ratio For Ceramic Whitewares by Reso-nanceC1198 Test Method for Dynamic Youngs Modulus,ShearModulu