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1、JournaloftheSerbianSocietyforComputationalMechanics/Vol.2/No.1,2008/pp.1-27UDC:539.37:519.673StaticanddynamicanalysisofinelasticsolidsandstructuresbytheBEM12*G.D.Hatzigeorgiou,D.E.Beskos1DepartmentofEnvironmentalEngineering,DemocritusUniversityofThrace,GR-67100,Xanthi,Greece.gchatzig@
2、env.duth.gr2DepartmentofCivilEngineering,UniversityofPatras,GR-26500,Patras,Greece.d.e.beskos@upatras.gr*CorrespondingauthorAbstract:Thisreviewpaperdescribesthetechniques,advancesandproblemsassociatedwiththestaticanddynamicanalysisofinelasticsolidsandstructuresbytheBoundaryElementMeth
3、od(BEM).Firstly,anhistoricaloverviewispresented.Next,thevariousexistingBEMformulationsforstaticanddynamicanalysisoftwo-andthree-dimensionalsolidsandstructuresaswellasplatesandshellsarebrieflydescribed.Inelasticityreferstoelastoplastic,damageorelastoplasticplusdamagematerialbehavior.Th
4、en,eightcharacteristicnumericalexamplesarepresentedtoillustratethemethodsanddemonstratetheircapabilitiesaswellastheiraccuracy.Finally,advantagesanddisadvantagesofthevariousmethodsaswellasfuturedevelopmentsarepresentedintheconclusions.Keywords:Boundaryelementmethod,damage,plasticity,st
5、aticanalysis,dynamicanalysis1.IntroductionDuringthelastfortyyearsorso,substantialadvanceshavebeenmadeinthenumericalanalysisofbasicstructuralelementsaswellashighlysophisticatedstructuresexhibitinginelasticmaterialbehavior.Theseinclude,amongothers,manycivilstructures(e.g.buildings,bridg
6、es,tunnels,offshoreplatforms,tanks,chemicalfactories,powerplants),ornaval,aerospaceandmechanicalstructures(e.g.trucks,vehicles,railways,ships,airplanes)involvinginelasticbehaviorunderextremestaticordynamicloads.Itshouldbenotedthatfortheaforementionedrealisticengineeringproblems,static
7、ordynamicinelasticanalysisiscarriedoutexclusivelybynumericalmethodsduetotheirhighcomplexity.Inthelastfourdecades,withthedrasticevolutionofdigitalcomputers,thefiniteelementmethod(FEM)hasassumedanimportantroleinthesolutionofthesecomplexengineeringproblems.Theboundaryelementmethod(BEM)is
8、about
