1、Designation:E187609Standard Test Method forDynamic Youngs Modulus,Shear Modulus,and PoissonsRatio by Impulse Excitation of Vibration1This standard is issued under the fixed designation E1876;the number immediately following the designation indicates the year oforiginal adoption or,in the case of rev
2、ision,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.Scope1.1 This test method covers determination of the dynamicelastic properties of elastic materials at ambient te
3、mperatures.Specimens of these materials possess specific mechanicalresonant frequencies that are determined by the elasticmodulus,mass,and geometry of the test specimen.Thedynamic elastic properties of a material can therefore becomputed if the geometry,mass,and mechanical resonantfrequencies of a s
4、uitable(rectangular or cylindrical geometry)test specimen of that material can be measured.DynamicYoungs modulus is determined using the resonant frequencyin either the flexural or longitudinal mode of vibration.Thedynamic shear modulus,or modulus of rigidity,is found usingtorsional resonant vibrati
5、ons.Dynamic Youngs modulus anddynamic shear modulus are used to compute Poissons ratio.1.2 Although not specifically described herein,this testmethod can also be performed at cryogenic and high tempera-tures with suitable equipment modifications and appropriatemodifications to the calculations to co
6、mpensate for thermalexpansion.1.3 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 thi
7、s 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
8、.1.4 The values stated in SI units are to be regarded asstandard.No other units of measurement are included in thisstandard.1.5 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-p
9、riate safety and health practices and determine the applica-bility of regulatory limitations prior to use.2.Referenced Documents2.1 ASTM Standards:2C215 TestMethodforFundamentalTransverse,Longitudinal,and Torsional Resonant Frequencies ofConcrete SpecimensC372 Test Method for Linear Thermal Expansio
10、n of Porce-lain Enamel and Glaze Frits and Fired Ceramic WhitewareProducts by the Dilatometer MethodC623 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
11、 Materials by SonicResonanceC848 Test Method for Youngs Modulus,Shear Modulus,and Poissons Ratio For Ceramic Whitewares by Reso-nanceC1161 Test Method for Flexural Strength of AdvancedCeramics at Ambient TemperatureC1198 Test Method for Dynamic Youngs Modulus,ShearModulus,and Poissons Ratio for Adva
12、nced Ceramics bySonic ResonanceC1259 Test Method for Dynamic Youngs Modulus,ShearModulus,and Poissons Ratio for Advanced Ceramics byImpulse Excitation of VibrationE6 Terminology Relating to Methods of Mechanical TestingE177 Practice for Use of the Terms Precision and Bias inASTM Test Methods3.Termin
13、ology3.1 Definitions:3.1.1 The definitions of terms relating to mechanical testingappearing in Terminology E6C1198 should be considered asapplying to the terms used in this test method.1This test method is under the jurisdiction of ASTM Committee E28 onMechanical Testing and is the direct responsibi
14、lity of Subcommittee E28.04 onUniaxial Testing.Current edition approved April 1,2009.Published April 2009.Originallyapproved in 1997.Last previous edition approved in 2007 as E1876 07.DOI:10.1520/E1876-09.2For referenced ASTM standards,visit the ASTM website,www.astm.org,orcontact ASTM Customer Serv
15、ice at serviceastm.org.For Annual Book of ASTMStandards volume information,refer to the standards Document Summary page onthe ASTM website.Copyright ASTM International,100 Barr Harbor Drive,PO Box C700,West Conshohocken,PA 19428-2959.United States1 3.1.2 dynamic mechanical measurement,na technique i
16、nwhich either the modulus or damping,or both,of a substanceunder oscillatory applied force or displacement is measured asa function of temperature,frequency,or time,or combinationthereof.3.1.3 elastic limit FL2,nthe greatest stress that amaterial is capable of sustaining without permanent strainremaining upon complete release of the stress.E63.1.4 elastic modulus FL2,nthe ratio of stress to strainbelow the proportional limit.E63.1.5 Poissons ratio()nd,nthe absolute value of theratio of transvers