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1、P.PARIS1ACriticalAnalysisofCrackPropagationLawsAssociateProfessorofMechanicsandAssistantDirectoroftheInstituteofResearch,LehighUniversity,Bethlehem,Pa,Thepracticeofattemptingvalidationofcrack-propagationlaws(i.e.,thelawsofHead,FrostandDugdale,McEvilyandIllg,Liu,andParis)withasmallamount
2、ofdata,F.ERDOGANsuchasafewsinglespecimentestresults,isquestioned.Itisshownthatallthelaws,ProfessorofMechanicalthoughtheyaremutuallycontradictory,canbeinagreementwiththesamesmallsampleEngineering,LehighUniversity,ofdata.Itissuggestedthatagreementwithawideselectionofdatafrommanyspeci-Beth
3、lehem,Pa.Mem.ASMEmensandovermanyordersofmagnitudesofcrack-extensionratesmaybenecessarytovalidatecrack-propagationlaius.Forsuchawidecomparisonofdataanewsimpleempiricallawisgivenwhichfitsthebroadtrendofthedata.Introductionda=/(f,a,Ci)(1)dNsIEVEHA*Lcrack-propagationlawshavebeenpre-sentedin
4、thepastfewyears,whichclaimtobeverifiedbytheThereforethisformatwillbeemployedinthediscussiontoexperimentaldataanalyzedintheirrespectivepapers.Theyfollow.arespecificallytheworkofHead[l],aFrostandDugdale[2],Chronologicallythefirstcrack-propagationlawwhichdrewMcEvilj'andIllg[3],Liu[4,5],and
5、Paris,Gomez,andAndersonwideattentionwasthatofHead[1]in1953.Heemployeda[6,7,8].mechanicalmodelwhichconsideredrigid-plasticwork-hardeningThispaperwillattempttoshowthatbasingvalidationofaelementsaheadofacracktipandelasticelementsoverthere-crack-propagationtheoryonalimitedamountofdataisapoo
6、rmainderoftheinfinitesheet.Themodelrequiredextensivetestofanytheory.Moreover,awiderangeoftestdataisnowcalculationsanddeductionstoobtainalawwhichmaybeavailableinaconvenientform[9]whichmaybeemployedtowrittenasanalyzecriticallytheseseveralcrackpropagationlaws.Thereforethepaperwillconsistof
7、threepartswhichwillin-daC^a'*(Head'slaw)(2)clude:dN(C2-0>„'/'1Areviewandcomparisonofexistingcrack-propagationwhereCidependsuponthestrain-hardeningmodulus,themodu-laws.lusofelasticity,theyieldstressandthefracturestressofthe2Theerroneousresultsobtainedbycomparingeachlawwithmateri
