Designation:C1683−10(Reapproved2015)StandardPracticeforSizeScalingofTensileStrengthsUsingWeibullStatisticsforAdvancedCeramics1ThisstandardisissuedunderthefixeddesignationC1683;thenumberimmediatelyfollowingthedesignationindicatestheyearoforiginaladoptionor,inthecaseofrevision,theyearoflastrevision.Anumberinparenthesesindicatestheyearoflastreapproval.Asuperscriptepsilon(´)indicatesaneditorialchangesincethelastrevisionorreapproval.1.Scope1.1Thisstandardpracticeprovidesmethodologytoconvertfracturestrengthparameters(primarilythemeanstrengthandtheWeibullcharacteristicstrength)estimatedfromdataob-tainedwithonetestgeometrytostrengthparametersrepresent-ingothertestgeometries.Thispracticeaddressesuniaxialstrengthdataaswellassomebiaxialstrengthdata.Itmayalsobeusedformorecomplexgeometriesprovedthattheeffectiveareasandeffectivevolumescanbeestimated.ItisfortheevaluationofWeibullprobabilitydistributionparametersforadvancedceramicsthatfailinabrittlefashion.Fig.1showsthetypicalvariationofstrengthwithsize.Thelargerthespecimenorcomponent,theweakeritislikelytobe.1.2AsnotedinPracticeC1239,thefailurestrengthofadvancedceramicsistreatedasacontinuousrandomvariable.Anumberoffunctionsmaybeusedtocharacterizethestrengthdistributionofbrittleceramics,buttheWeibulldistributionisthemostappropriateespeciallysinceitpermitsstrengthscalingforthesizeofspecimensorcomponent.Typically,anumberoftestspecimenswithwell-definedgeometryarebrokenunderwell-definedloadingconditions.Theforceatwhicheachtestspecimenfailsisrecordedandfracturestrengthcalculated.ThestrengthvaluesareusedtoobtainWeibullparameterestimatesassociatedwiththeunderlyingpopulationdistribution.1.3Thisstandardisrestrictedtotheassumptionthatthedistributionunderlyingthefailurestrengthsisthetwo-parameterWeibulldistributionwithsizescaling.Thepracticealsoassumesthattheflawpopulationisstablewithtimeandthatnoslowcrackgrowthoccurs.1.4Thispracticeincludesthefollowingtopics:SectionScope1ReferencedDocuments2Terminology3SummaryofPractice4SignificanceandUs...
