ASTM C1465-2000(2006) Standard Test Method for Determination of Slow Crack Growth Parameters of Advanced Ceramics by Constant Stress-Rate Flexural Testing at Elevated Temperatures《.pdf

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1、Designation: C 1465 00 (Reapproved 2006)Standard Test Method forDetermination of Slow Crack Growth Parameters ofAdvanced Ceramics by Constant Stress-Rate FlexuralTesting at Elevated Temperatures1This standard is issued under the fixed designation C 1465; the number immediately following the designat

2、ion 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 (e) indicates an editorial change since the last revision or reapproval.1. Scope1.1 This test method covers the deter

3、mination of slow crackgrowth (SCG) parameters of advanced ceramics by usingconstant stress-rate flexural testing in which flexural strength isdetermined as a function of applied stress rate in a givenenvironment at elevated temperatures. The strength degrada-tion exhibited with decreasing applied st

4、ress rate in a specifiedenvironment is the basis of this test method which enables theevaluation of slow crack growth parameters of a material.NOTE 1This test method is frequently referred to as “dynamicfatigue” testing (Refs (1-3)2in which the term “fatigue” is usedinterchangeably with the term “sl

5、ow crack growth.” To avoid possibleconfusion with the “fatigue” phenomenon of a material which occursexclusively under cyclic loading, as defined in Terminology E 1823, thistest method uses the term “constant stress-rate testing” rather than“dynamic fatigue” testing.NOTE 2In glass and ceramics techn

6、ology, static tests of considerableduration are called “static fatigue” tests, a type of test designated asstress-rupture (Terminology E 1823).1.2 This test method is intended primarily to be used fornegligible creep of test specimens, with specific limits on creepimposed in this test method.1.3 Thi

7、s test method applies primarily to advanced ceramicsthat are macroscopically homogeneous and isotropic. This testmethod may also be applied to certain whisker- or particle-reinforced ceramics that exhibit macroscopically homogeneousbehavior.1.4 This test method is intended for use with various teste

8、nvironments such as air, vacuum, inert, and any other gaseousenvironments.1.5 Values expressed in this standard test are in accordancewith the International System of Units (SI) and IEEE/ASTM SI 10.1.6 This standard does not purport to address all of thesafety concerns, if any, associated with its u

9、se. 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:3C 1145 Terminology of Advanced CeramicsC 1211 Test Method for Flexural Str

10、ength of AdvancedCeramics at Elevated TemperaturesC 1239 Practice for Reporting Uniaxial Strength Data andEstimating Weibull Distribution Parameters for AdvancedCeramicsC 1322 Practice for Fractography and Characterization ofFracture Origins in Advanced CeramicsC 1368 Test Method for Determination o

11、f Slow CrackGrowth Parameters of Advanced Ceramics by ConstantStress-Rate Flexural Testing at Ambient TemperatureE4 Practices for Force Verification of Testing MachinesE6 Terminology Relating to Methods of Mechanical Test-ingE 220 Test Method for Calibration of Thermocouples ByComparison TechniquesE

12、 230 Specification and Temperature-Electromotive Force(EMF) Tables for Standardized ThermocouplesE 337 Test Method for Measuring Humidity with a Psy-chrometer (the Measurement of Wet- and Dry-Bulb Tem-peratures)IEEE/ASTM SI 10 American National Standard for Use ofthe International System of Units (S

13、I): The Modern MetricSystemE 1823 Terminology Relating to Fatigue and Fracture Test-ing3. Terminology3.1 DefinitionsThe terms described in TerminologiesC 1145, E6, and E 1823 are applicable to this test method.Specific terms relevant to this test method are as follows:1This test method is under the

14、jurisdiction of ASTM Committee C28 onAdvanced Ceramics and is the direct responsibility of Subcommittee C28.01 onMechanical Properties and Performance.Current edition approved Jan. 1, 2006. Published January 2006. Originallyapproved in 2000. Last previous edition approved in 2000 as C 146500.2The bo

15、ldface numbers in parentheses refer to the 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 Summ

16、ary page onthe ASTM website.1Copyright ASTM International, 100 Barr Harbor Drive, PO Box C700, West Conshohocken, PA 19428-2959, United States.3.1.1 advanced ceramic, na highly engineered, high-performance, predominately, nonmetallic, inorganic, ceramicmaterial having specific functional attributes.

17、 (C 1145)3.1.2 constant stress rate, s FL2t1, na constant rate ofincrease of maximum flexural stress applied to a specifiedbeam by using either a constant load or constant displacementrate of a testing machine.3.1.3 environment, nthe aggregate of chemical speciesand energy that surrounds a test spec

18、imen. (E 1150)3.1.4 environmental chamber, na container surroundingthe test specimen and capable of providing controlled localenvironmental condition.3.1.5 flexural strength, sfFL2, na measure of theultimate strength of a specified beam specimen in bendingdetermined at a given stress rate in a parti

19、cular environment.3.1.6 flexural strength-stress rate diagrama plot of flex-ural strength as a function of stress rate. Flexural strength andstress rate are both plotted on logarithmic scales.3.1.7 flexural strength-stress rate curvea curve fitted tothe values of flexural strength at each of several

20、 stress rates,based on the relationship between flexural strength and stressrate:log sf= 1/(n + 1) log s + log D (see Appendix X1)3.1.7.1 DiscussionIn the ceramics literature, this is oftencalled a “dynamic fatigue” curve.3.1.8 fracture toughness, KICFL3/2, na generic term formeasures of resistance

21、to extension of a crack. (E 616)3.1.9 inert flexural strength FL2, na measure of thestrength of a specified beam specimen in bending as deter-mined in an appropriate inert condition whereby no slow crackgrowth occurs.3.1.9.1 DiscussionAn inert condition at near room tem-perature may be obtained by u

22、sing vacuum, low temperatures,very fast test rates, or any inert media. However, at elevatedtemperatures, the definition or concept of an inert condition isunclear since temperature itself acts as a degrading environ-ment. It has been shown that for some ceramics one approachto obtain an inert condi

23、tion (thus, inert strength) at elevatedtemperatures is to use very fast (ultra-fast) test rates$3 3 104MPa/s, where the time for slow crack growth would beminimized or eliminated (4).3.1.10 slow crack growth (SCG), nsubcritical crackgrowth (extension) which may result from, but is not restrictedto,

24、such mechanisms as environmentally assisted stress corro-sion or diffusive crack growth.3.1.11 stress intensity factor, KIFL3/2, nthe magnitudeof the ideal-crack-tip stress field (stress-field singularly) sub-jected to Mode I loading in a homogeneous, linear elastic body.(E 616)3.1.12 R-curve, na pl

25、ot of crack-extension resistance as afunction of stable crack extension. (E 616)3.2 Definitions of Terms Specific to This Standard:3.2.1 slow crack growth parameters, n and D, ntheparameters estimated as constants in the flexural strength (inmegapascals)-stress rate (in megapascals per second) equat

26、ion,which represent a measure of susceptibility to slow crackgrowth of a material (seeAppendix X1). For the units of D, see9.3.1.4. Significance and Use4.1 For many structural ceramic components in service,their use is often limited by lifetimes that are controlled by aprocess of slow crack growth.

27、This test method provides theempirical parameters for appraising the relative slow crackgrowth susceptibility of ceramic materials under specifiedenvironments at elevated temperatures. This test method issimilar to Test Method C 1368 with the exception that provi-sions for testing at elevated temper

28、atures are given. Further-more, this test method may establish the influences of process-ing variables and composition on slow crack growth as well ason strength behavior of newly developed or existing materials,thus allowing tailoring and optimizing material processing forfurther modification. In s

29、ummary, this test method may be usedfor material development, quality control, characterization, andlimited design data generation purposes.NOTE 3Data generated by this test method do not necessarily corre-spond to crack velocities that may be encountered in service conditions.The use of data genera

30、ted by this test method for design purposes mayentail considerable extrapolation and loss of accuracy.4.2 In this test method, the flexural stress computation isbased on simple beam theory, with the assumptions that thematerial is isotropic and homogeneous, the moduli of elasticityin tension and com

31、pression are identical, and the material islinearly elastic. The average grain size should be no greaterthan one fiftieth (1/50) of the beam thickness.4.3 In this test method, the test specimen sizes and testfixtures were chosen in accordance with Test Method C 1211,which provides a balance between

32、practical configurations andresulting errors, as discussed in Refs (5, 6). Only the four-pointtest configuration is used in this test method.4.4 In this test method, the slow crack growth parameters (nand D) are determined based on the mathematical relationshipbetween flexural strength and applied s

33、tress rate, log sf= 1/(n+ 1) log s + log D, together with the measured experimentaldata. The basic underlying assumption on the derivation of thisrelationship is that slow crack growth is governed by anempirical power-law crack velocity, v=AKI/KICn(see Ap-pendix X1).NOTE 4There are various other for

34、ms of crack velocity laws whichare usually more complex or less convenient mathematically, or both, butmay be physically more realistic (7).The mathematical analysis in this testmethod does not cover such alternative crack velocity formulations.4.5 In this test method, the mathematical relationship

35、be-tween flexural strength and stress rate was derived based on theassumption that the slow crack growth parameter is at least n$ 5 (1, 8). Therefore, if a material exhibits a very highsusceptibility to slow crack growth, that is, n 1000MPa/s) may remain unchanged so that a plateau is observed inthe

36、 plot of strength versus stress rate, see Fig. 1a (4).Ifthestrength data determined in this plateau region are included inthe analysis, a misleading estimate of the SCG parameters willbe obtained. Therefore, the strength data in the plateau shall beexcluded as data points in estimating the SCG param

37、eters ofthe material. This test method addresses this issue by recom-mending that the highest stress rate be #1000 MPa/s.5.4 Aconsiderable strength degradation may be observed atlower stress rates and higher temperatures for some materials.In these cases, excessive creep damage in the form of creepc

38、avities, micro- or macro-cracks, or both, develop in the tensilesurface (10-13). This results in a nonlinearity in the relation-ship between log (flexural strength) and log (applied stressNOTE 1The arrows indicate unacceptable data points. The data pointmarked with 8N, in which a significant nonline

39、arity occurs, indicates astrength value estimated by extrapolation of the linear regression linerepresented by the rest of the strength data.FIG. 1 Schematic Diagrams Showing Unacceptable Data Points inConstant Stress-Rate Testing at Elevated TemperaturesC 1465 00 (2006)3rate), see Fig. 1b. It has b

40、een reported that the strengthdegradation with respect to the expected normal strength (atPoint N in Fig. 1b) ranged from 15 to 50 % (10-12). If thesedata points are used in the analysis, then an underestimate ofthe SCG parameters will be obtained. Hence, the strength dataexhibiting such a significa

41、nt strength degradation occurring atlower stress rates shall be excluded as data points in obtainingthe SCG parameters of the material.5.5 Contrary to the case of significant strength degradation,an appreciable strength increase may occur for some ceramicsat lower stress rates (see Fig. 1c), due to

42、crack healing or cracktip blunting which dominates slow crack growth (10, 14).Ithasbeen reported that the strength increase with respect to theexpected normal strength (at point N in Fig. 1c) ranged from 15to 60 % (10, 14). Since the phenomenon results in a deviationfrom the linear relationship betw

43、een log (flexural strength) andlog (applied stress rate), an overestimate of SCG parametersmay be obtained if such strength data are included in theanalysis.Therefore, any data exhibiting a significant or obviousincrease in strength at lower stress rates shall be excluded asdata points in estimating

44、 the SCG parameters of the material.NOTE 6It has been shown that some preloading (up to 80 % offracture load) prior to testing may be used to minimize or eliminate thestrength-increase phenomenon by minimizing or eliminating a chance forcrack healing (or blunting) through shortening test time, as ve

45、rified onsome advanced ceramics such as alumina and silicon nitride (10, 15).Ingeneral, preloading may be effective to reduce overall creep deformationof test specimens due to reduced test time. Refer to 8.10 for moreinformation regarding preloading and its application.5.6 Surface preparation of tes

46、t specimens can introducefabrication flaws that may have pronounced effects on flexuralstrength. Machining damage imposed during specimen prepa-ration can be either a random interfering factor, or an inherentpart of the strength characteristics to be measured. Surfacepreparation can also lead to res

47、idual stress. Universal orstandardized test methods of surface preparation do not exist. Itshould be understood that the final machining steps may ormay not negate machining damage introduced during the earlycoarse or intermediate machining steps. In some cases, speci-mens need to be tested in the a

48、s-processed condition tosimulate a specific service condition. Therefore, specimenfabrication history may play an important role in strengthbehavior, which consequently may affect the values of the SCGparameters to be determined.6. Apparatus6.1 Test MachineTest machines used for this test methodshal

49、l conform to the requirements of Practices E4. Testspecimens may be loaded in any suitable test machine providedthat uniform test rates, either using load-control ordisplacement-control mode, can be maintained. The loads usedin determining flexural strength shall be accurate within61.0 % at any load within the selected test rate and load rangeof the test machine as defined in Practices E4. The testmachine shall have a minimum capability of applying at leastfour test rates with at least three orders of magnitude, rangingfrom 101to 102