简介：Basedonthegeneralsolutionofthree-dimensionalproblemsinpiezoelectricmedium,withthemethodofGreen’sfunctins,axisymmetricboundary-valueproblemsarediscussed.Thepurposeofthisresearchisforanalyzingtheeffectiveonmechanicsandelectricityofthepiezoelectricceramicscausedbyvoidsandinclusions.Thedisplacement,tractionandelectricGreen’sfunctionscorrespondingtocircularringloadsactingintheinteriorofapiezoelectricceramicareobtained.AcylindricalcoordinatesystemisemployedandHankeltransformareappliedwithrespecttoradialcoor-dinates.ExplicitsolutionsforGreen’sfunctionsarepresentedintermsofinfiniteintegralsofLipshitz-Hankeltype.Bysolvingatractionboundary-valueproblem,thesolutionschemeisillustrated.

简介：BaseduponStrohformalismwederiveanovelandconvenientschemefordeterminingtheelasticfieldsofatwo-dimensionalanisotropicbodywithaparabolicboundarysubjecttotwokindsofboundaryconditions,whicharefreesurfaceandrigidsurface,respectively.ThecorrespondingGreen’sfunctionsarefoundbyusingtheconformalmappingmethod.Whentheparaboliccurvede-generatesintoahalf-infinitecrackorrigidinclusion,thesingularstressfieldsnearthetipofdefectsareobtained.Inparticular,thoseGreen’sfunctionsforaconcentratedmomentM0appliedatapointontheparaboliccurvearealsostudied.Itiseasilyfoundthatarbitraryparabolicboundaryvalueprob-lemscanbesolvedbyusingtheseGreen’sfunctionsandassociateintegrals.