1、Designation: E647 111Standard Test Method forMeasurement of Fatigue Crack Growth Rates1This standard is issued under the fixed designation E647; 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
2、 parentheses indicates the year of last reapproval. Asuperscript epsilon () indicates an editorial change since the last revision or reapproval.1NOTE3.2.3 was editorially updated in December 2011.1. Scope1.1 This test method2covers the determination of fatiguecrack growth rates from near-threshold t
3、o Kmaxcontrolledinstability. Results are expressed in terms of the crack-tipstress-intensity factor range (DK), defined by the theory oflinear elasticity.1.2 Several different test procedures are provided, the opti-mum test procedure being primarily dependent on the magni-tude of the fatigue crack g
4、rowth rate to be measured.1.3 Materials that can be tested by this test method are notlimited by thickness or by strength so long as specimens are ofsufficient thickness to preclude buckling and of sufficientplanar size to remain predominantly elastic during testing.1.4 A range of specimen sizes wit
5、h proportional planardimensions is provided, but size is variable to be adjusted foryield strength and applied force. Specimen thickness may bevaried independent of planar size.1.5 The details of the various specimens and test configu-rations are shown in Annex A1-Annex A3. Specimen configu-rations
6、other than those contained in this method may be usedprovided that well-established stress-intensity factor calibra-tions are available and that specimens are of sufficient planarsize to remain predominantly elastic during testing.1.6 Residual stress/crack closure may significantly influencethe fati
7、gue crack growth rate data, particularly at low stress-intensity factors and low stress ratios, although such variablesare not incorporated into the computation of DK.1.7 Values stated in SI units are to be regarded as thestandard. Values given in parentheses are for information only.1.8 This test m
8、ethod is divided into two main parts. The firstpart gives general information concerning the recommenda-tions and requirements for fatigue crack growth rate testing.The second part is composed of annexes that describe thespecial requirements for various specimen configurations, spe-cial requirements
9、 for testing in aqueous environments, andprocedures for non-visual crack size determination. In addition,there are appendices that cover techniques for calculatingda/dN, determining fatigue crack opening force, and guidelinesfor measuring the growth of small fatigue cracks. Generalinformation and re
10、quirements common to all specimen typesare listed as follows:SectionReferenced Documents 2Terminology 3Summary of Use 4Significance and Use 5Apparatus 6Specimen Configuration, Size, and Preparation 7Procedure 8Calculations and Interpretation of Results 9Report 10Precision and Bias 11Special Requirem
11、ents for Testing in Aqueous Environments Annex A4Guidelines for Use of Compliance to Determine Crack Size Annex A5Guidelines for Electric Potential Difference Determination ofCrack SizeAnnex A6Recommended Data Reduction Techniques Appendix X1Recommended Practice for Determination of Fatigue CrackOpe
12、ning Force From ComplianceAppendix X2Guidelines for Measuring the Growth Rates Of Small FatigueCracksAppendix X31.9 Special requirements for the various specimen configu-rations appear in the following order:The Compact Specimen Annex A1The Middle Tension Specimen Annex A2The Eccentrically-Loaded Si
13、ngle Edge Crack Tension Speci-menAnnex A31.10 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 regulator
14、y limitations prior to use.2. Referenced Documents2.1 ASTM Standards:3E4 Practices for Force Verification of Testing Machines1This test method is under the jurisdiction of ASTM Committee E08 on Fatigueand Fracture and is the direct responsibility of Subcommittee E08.06 on CrackGrowth Behavior.Curren
15、t edition approved April 1, 2008. Published June 2011. Originallyapproved in 1978. Last previous approved in 2008 as E647 081. DOI: 10.1520/E0647-08E01.2For additional information on this test method see RR: E24 1001. Availablefrom ASTM Headquarters, 100 Barr Harbor Drive, West Conshohocken, PA 1942
16、8.3For 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.1Copyright ASTM International, 100 Barr Harbor Drive, PO Bo
17、x C700, West Conshohocken, PA 19428-2959, United States.E6 Terminology Relating to Methods of Mechanical TestingE8/E8M Test Methods for Tension Testing of MetallicMaterialsE337 Test Method for Measuring Humidity with a Psy-chrometer (the Measurement of Wet- and Dry-Bulb Tem-peratures)E338 Test Metho
18、d of Sharp-Notch Tension Testing of High-Strength Sheet Materials4E399 Test Method for Linear-Elastic Plane-Strain FractureToughness KIcof Metallic MaterialsE467 Practice for Verification of Constant Amplitude Dy-namic Forces in an Axial Fatigue Testing SystemE561 Test Method for K-R Curve Determina
19、tionE1012 Practice for Verification of Test Frame and SpecimenAlignment Under Tensile and Compressive Axial ForceApplicationE1820 Test Method for Measurement of Fracture Tough-nessE1823 Terminology Relating to Fatigue and Fracture Test-ing3. Terminology3.1 The terms used in this test method are give
20、n in Termi-nology E6, and Terminology E1823. Wherever these terms arenot in agreement with one another, use the definitions given inTerminology E1823 which are applicable to this test method.3.2 Definitions:3.2.1 crack size, aL, na linear measure of a principalplanar dimension of a crack. This measu
21、re is commonly usedin the calculation of quantities descriptive of the stress anddisplacement fields and is often also termed crack length ordepth.3.2.1.1 DiscussionIn fatigue testing, crack length is thephysical crack size. See physical crack size in TerminologyE1823.3.2.2 cyclein fatigue, under co
22、nstant amplitude loading,the force variation from the minimum to the maximum andthen to the minimum force.3.2.2.1 DiscussionIn spectrum loading, the definition ofcycle varies with the counting method used.3.2.2.2 DiscussionIn this test method, the symbol N isused to represent the number of cycles.3.
23、2.3 fatigue-crack-growth rate, da/dN, L/cyclethe rateof crack extension under fatigue loading, expressed in terms ofcrack extension per cycle of fatigue.3.2.4 fatigue cycleSee cycle.3.2.5 force cycleSee cycle.3.2.6 force range, D P Fin fatigue, the algebraic differ-ence between the maximum and minim
24、um forces in a cycleexpressed as:DP 5 Pmax2 Pmin(1)3.2.7 force ratio (also called stress ratio), Rin fatigue, thealgebraic ratio of the minimum to maximum force (stress) in acycle, that is, R = Pmin/Pmax.3.2.8 maximum force, PmaxFin fatigue, the highestalgebraic value of applied force in a cycle. Te
25、nsile forces areconsidered positive and compressive forces negative.3.2.9 maximum stress-intensity factor, KmaxFL3/2infatigue, the maximum value of the stress-intensity factor in acycle. This value corresponds to Pmax.3.2.10 minimum force, PminFin fatigue, the lowestalgebraic value of applied force
26、in a cycle. Tensile forces areconsidered positive and compressive forces negative.3.2.11 minimum stress-intensity factor, KminFL3/2infatigue, the minimum value of the stress-intensity factor in acycle. This value corresponds to PminwhenR0andistakento be zero when R # 0.3.2.12 stress cycleSee cycle i
27、n Terminology E1823.3.2.13 stress-intensity factor, K, K1, K2, K3FL3/2SeeTerminology E1823.3.2.13.1 DiscussionIn this test method, mode 1 is as-sumed and the subscript 1 is everywhere implied.3.2.14 stress-intensity factor range, DK FL3/2in fa-tigue, the variation in the stress-intensity factor in a
28、 cycle, thatisDK 5 Kmax2 Kmin(2)3.2.14.1 DiscussionThe loading variables R, DK, andKmaxare related in accordance with the following relation-ships:DK 5 1 2 R!Kmaxfor R$0, and (3)DK 5 Kmaxfor R#0.3.2.14.2 DiscussionThese operational stress-intensity fac-tor definitions do not include local crack-tip
29、effects; forexample, crack closure, residual stress, and blunting.3.2.14.3 DiscussionWhile the operational definition ofDK states that DK does not change for a constant value of Kmaxwhen R # 0, increases in fatigue crack growth rates can beobserved when R becomes more negative. Excluding thecompress
30、ive forces in the calculation of DK does not influencethe materials response since this response (da/dN) is indepen-dent of the operational definition of DK. For predictingcrack-growth lives generated under various R conditions, thelife prediction methodology must be consistent with the datareportin
31、g methodology.3.2.14.4 DiscussionAn alternative definition for thestress-intensity factor range, which utilizes the full range of R,is DKfr= Kmax Kmin. (In this case, Kminis the minimum valueof stress-intensity factor in a cycle, regardless of R.) If usingthis definition, in addition to the requirem
32、ents of 10.1.13, thevalue of R for the test should also be tabulated. If comparingdata developed under R # 0 conditions with data developedunder R 0 conditions, it may be beneficial to plot the da/dNdata versus Kmax.3.3 Definitions of Terms Specific to This Standard:3.3.1 applied-K curvea curve (a f
33、ixed-force or fixed-displacement crack-extension-force curve) obtained from afracture mechanics analysis for a specific specimen configura-tion. The curve relates the stress-intensity factor to crack sizeand either applied force or displacement.4Withdrawn. The last approved version of this historica
34、l standard is referencedon www.astm.org.E647 11123.3.1.1 DiscussionThe resulting analytical expression issometimes called a K calibration and is frequently available inhandbooks for stress-intensity factors.3.3.2 fatigue crack growth threshold, DKthFL3/2thatasymptotic value of DK at which da/dN appr
35、oaches zero. Formost materials an operational, though arbitrary, definition ofDKthis given as that DK which corresponds to a fatigue crackgrowth rate of 1010m/cycle. The procedure for determiningthis operational DKthis given in 9.4.3.3.2.1 DiscussionThe intent of this definition is not todefine a tr
36、ue threshold, but rather to provide a practical meansof characterizing a materials fatigue crack growth resistance inthe near-threshold regime. Caution is required in extending thisconcept to design (see 5.1.5).3.3.3 fatigue crack growth rate, da/dN or Da/DN, Linfatigue, the rate of crack extension
37、caused by fatigue loadingand expressed in terms of average crack extension per cycle.3.3.4 normalized K-gradient, C = (1/K). dK/da L1thefractional rate of change of K with increasing crack size.3.3.4.1 DiscussionWhen C is held constant the percent-age change in K is constant for equal increments of
38、crack size.The following identity is true for the normalized K-gradient ina constant force ratio test:1KdKda51KmaxdKmaxda51KmindKminda51DKdDKda(4)3.3.5 K-decreasing testa test in which the value of C isnominally negative. In this test method K-decreasing tests areconducted by shedding force, either
39、continuously or by a seriesof decremental steps, as the crack grows.3.3.6 K-increasing testa test in which the value of C isnominally positive. For the standard specimens in this methodthe constant-force-amplitude test will result in a K-increasingtest where the C value increases but is always posit
40、ive.4. Summary of Test Method4.1 This test method involves cyclic loading of notchedspecimens which have been acceptably precracked in fatigue.Crack size is measured, either visually or by an equivalentmethod, as a function of elapsed fatigue cycles and these dataare subjected to numerical analysis
41、to establish the rate of crackgrowth. Crack growth rates are expressed as a function of thestress-intensity factor range, DK, which is calculated fromexpressions based on linear elastic stress analysis.5. Significance and Use5.1 Fatigue crack growth rate expressed as a function ofcrack-tip stress-in
42、tensity factor range, da/dN versus DK, char-acterizes a materials resistance to stable crack extension undercyclic loading. Background information on the ration-ale foremploying linear elastic fracture mechanics to analyze fatiguecrack growth rate data is given in Refs (1)5and (2).5.1.1 In innocuous
43、 (inert) environments fatigue crackgrowth rates are primarily a function of DK and force ratio, R,or Kmaxand R (Note 1). Temperature and aggressive environ-ments can significantly affect da/dN versus DK, and in manycases accentuate R-effects and introduce effects of otherloading variables such as cy
44、cle frequency and waveform.Attention needs to be given to the proper selection and controlof these variables in research studies and in the generation ofdesign data.NOTE 1DK, Kmax, and R are not independent of each other. Specifi-cation of any two of these variables is sufficient to define the loadi
45、ngcondition. It is customary to specify one of the stress-intensity parameters(DK or Kmax) along with the force ratio, R.5.1.2 Expressing da/dN as a function of DK provides resultsthat are independent of planar geometry, thus enabling ex-change and comparison of data obtained from a variety ofspecim
46、en configurations and loading conditions. Moreover,this feature enables da/dN versus DK data to be utilized in thedesign and evaluation of engineering structures.The concept ofsimilitude is assumed, which implies that cracks of differinglengths subjected to the same nominal DK will advance byequal i
47、ncrements of crack extension per cycle.5.1.3 Fatigue crack growth rate data are not alwaysgeometry-independent in the strict sense since thickness effectssometimes occur. However, data on the influence of thicknesson fatigue crack growth rate are mixed. Fatigue crack growthrates over a wide range of
48、 DK have been reported to eitherincrease, decrease, or remain unaffected as specimen thicknessis increased. Thickness effects can also interact with othervariables such as environment and heat treatment. For ex-ample, materials may exhibit thickness effects over the termi-nal range of da/dN versus D
49、K, which are associated with eithernominal yielding (Note 2)orasKmaxapproaches the materialfracture toughness. The potential influence of specimen thick-ness should be considered when generating data for research ordesign.NOTE 2This condition should be avoided in tests that conform to thespecimen size requirements listed in the appropriate specimen annex.5.1.4 Residual stresses can influence fatigue crack growthrates, the measurement of such growth rates and the predict-ability of fatigue crack growth pe
