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  • 简介:ThispaperpresentsaclosedformsolutionandnumericalanalysisforEshelby’sellipticinclusioninaninfiniteplate.Thecomplexvariablemethodandtheconformalmappingtechniqueareused.Thecontinuityconditionsforthetractionanddisplacementalongtheinterfaceinthephysicalplanearereducedtothesimilarconditionsalongtheunitcircleofthemappingplane.Thepropertiesofthecomplexpotentialsdefinedinthefiniteellipticregionareanalyzed.Fromthecontinuityconditions,onecanseparateandobtaintherelevantcomplexpotentialsdefinedintheinclusionandthematrix.Fromtheobtainedcomplexpotentials,thedependenceoftherealstrainsandstressesintheinclusionfromtheassumedeigenstrainsisevaluated.Inaddition,thestressdistributionontheinterfacealongthematrixsideisevaluated.Theresultsareobtainedinthepaperforthefirsttime.

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