简介:AZener-Strohcrackinteractingwithanedgedislocationisstudied.Thecrackfacesareassumedtobetractionfree.Theapplied'generalizedloading'forcrackistheinitialdisplacementjumpandtheinterventionoftheedgedislocation.Throughdecomposingtheproblemintotwosubsimpleproblems,usingthesuperpositionprinciple,itssolutionisobtained.Todemonstrateboththevalidityofthesolutionanditspotentialapplication,twosimpleexamplesrelatedtothecrackstressintensityfactorsarepre...
简介:TheStrohformalismismostelegantwhentheboundaryconditionsaresimple,namely,theyareprescribedintermsoftractionordisplacement.Formixedboundaryconditionssuchasthereforaslipperyboundary,theconcisematrixexpressionsoftheStrohformalismaredestroyed.WepresentageneralizedStrohformalismwhichisapplicabletoaclassofgeneralboundaryconditions.Thegeneralboundaryconditionsin-cludethesimpleandslipperyboundaryconditionsasspecialcases.ForGreen’sfunctionsforthehalfspace,thegeneralsolutionisapplicabletothecasewhenthesurfaceofthehalf-spaceisafixed,afree,aslippery,orothermoregeneralboundary.FortheGriffithcrackintheinfinitespace,thecrackcanbeaslit-likecrackwithfreesurfaces,arigidlineinclusion(whichissometimescalledananticrack),orarigidlinewithslipperysurfaceorwithothergeneralsurfaceconditions.ItisworthmentionthatthemodificationsrequiredontheStrohformalismareminor.Thegeneralizedformalismandthefinalsolutionslookverysimilartothoseofunmodifiedversion.Yettheresultsareapplicabletoaratherwiderangeofboundaryconditions.