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1、ThefiniteelementanalysisFiniteelementmethod,thesolvingareaisregardedasmadeupofmanysmallinthenodeconnectedunit(adomain),themodelgivesthefundamentalequationofsharding(sub-domain)approximationsolution,duetotheunit(adomain)canbedividedintovariousshapesandsizesofdifferentsize,soitcanwella
2、dapttothecomplexgeometry,complexmaterialpropertiesandcomplicatedboundaryconditionsFiniteelementmodel:isitrealsystemidealizedmathematicalabstractions.Iscomposedofsomesimpleshapesofunit,unitconnectionthroughthenode,andunderacertainload.Finiteelementanalysis:istheuseofmathematicalapprox
3、imationmethodforrealphysicalsystems(geometryandloadingconditionsweresimulated.Andbyusingsimpleandinteractingelements,namelyunit,canusealimitednumberofunknownvariablestoapproachinginfiniteunknownquantityoftherealsystem.Linearelasticfiniteelementmethodisaidealelasticbodyastheresearchob
4、ject,consideringthedeformationbasedonsmalldeformationassumptionof.Inthiskindofproblem,thestressandstrainofthematerialislinearrelationship,meetthegeneralizedhooke'slaw;Stressandstrainislinear,linearelasticproblemboilsdowntosolvinglinearequations,soonlyneedlesscomputationtime.Iftheeffi
5、cientmethodofsolvingalgebraicequationscanalsohelpreducethedurationoffiniteelementanalysis.Linearelasticfiniteelementgenerallyincludeslinearelasticstaticsanalysisandlinearelasticdynamicsanalysisfromtwoaspects.Thedifferencebetweenthenonlinearproblemandlinearelasticproblems:1)nonlineare
6、quationisnonlinear,anditerativelysolvingofgeneral;2)thenonlinearproblemcan'tusesuperpositionprinciple;3)nonlinearproblemisnotthereisalwayssolution,sometimesevennosolution.Finiteelementtosolvethenonlinearproblemcanbedividedintothefollowingthreecategories:1)materialnonlinearproblemsofs
7、tressandstrainisnonlinear,butthestressandstrainisverysmall,alinearrelationshipbetweenstrainanddisplacementatthistime,thiskindofproblembelongstothematerialnonlinearproblems.Duetotheoreticallyalsocannotprovidetheconstitutiverelationcanbeaccepted,so,generalnonlinearrelationsbetweenstres
8、sandstrainof
