简介:Inthispaper,asimplebutinherentrelationbetweentheL-integralandtheBueeknerworkconjugateintegralisprovedforcrackproblemsinisotropic,anisotropic,anddissimilarmateri-als,respectively.Itisfoundthat,intheabove-mentionedthreecases,theL-integral,fromthemath-ematicalpointofviewaswellasinprinciple,arisesfromBetti’sreciprocaltheorem.ThismeansthattheBuecknerworkconjugateintegralisamoregeneralpath-independentintegralthantheotherssinceanyotherpath-independentintegralscouldbederivedbyusin8theBuecknerintegralwhilechoosingadifferentsubsidiarystress-displacementfield.