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1、COMPUTATIONALMECHANICSISCM2007,July30-August1,2007,Beijing,China©2007TsinghuaUniversityPress&SpringerANewMethodforSolvingSolidStructuresJiangKe*DepartmentofCivilEngineering,ShaanxiUniversityofTechnology,Hanzhong,723001ChinaEmail:kj5525@sina.comAbstractAnewmethodf
2、orsolvinganisotropic,linear,elasticsolidstructureispresented.Basedonthesimpleknowledgeofthemechanicsofmaterials,themodelconsidersanewelementcalledthe“Ke”element.Thiselementisatruss,andthesolidstructureisconsideredtoconsistofmanysuch“Ke”elements.Thusthesolidstruct
3、urebecomesatrussstructure,andtheinternalforcesanddisplacementsofthesolidstructurecanbefoundbycalculatingthistrussstructure.Thephysicalsenseofthisnewmethodisclear,anditisverysimpleandwonderful.Thepapernotonlyprovidesanewmethodforsolvingasolidstructure,butalsorevea
4、lsthemechanicalmechanismofasolidbody.Keywords:solidstructure,theoryofelasticity,mechanicsofmaterials,KeelementINTRODUCTIONThetheoryofelasticityisamechanicsforstudyingelastic(mainlyisotropic,linear,elasticmaterials)solidstructures.Forthecalculationoflinearelastics
5、olidstructuresusingtheknowledgeofthetheoryofelasticity,anexactsolutionbasedontheanalyticalmethodcanonlybeobtainedforafeweasyproblems.Therefore,anumericalmethod,forexample,thefiniteelementmethodorthefinitedifferencemethod,isgenerallyusedformostproblems.Thesetwomet
6、hodsareverycomplicated[1].Basedonthesimpleknowledgeofthemechanicsofmaterials[2],asimplenewmethodforsolvinganisotropic,linear,elasticsolidstructureispresentedhere.NEWMETHODOneinfinitesimalregularhexahedronelement(Fig.1)isarbitrarilytakenfromthesolidstructure,theth
7、eoryofelasticitybeingbasedonthestaticequilibrium,deformationandconstitutiverelationsoftheelement.First,amodelofanewelement,calledheretheKeelement,issetup.TheKeelementincludestheKe-1element(Fig.2)andtheKe-2element(Fig.4(a)).TheKe-1element(whichisadoptedforspatiale
8、lasticproblems)isaspacetrussandtheKe-2element(whichisadoptedforplaneelasticproblems)isaplanetruss.TheKe-1element(Fig.2)andtheregularhexahedronelement(Fig.1)are
