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1、ThefiniteelementanalysisFiniteelementmethod,thesolvingareaisregardedasmadeupofmanysmallinthenodeconnectedunit(adomain),themodelgivesthefundamentalequationofsharding(sub-domain)approximationsolution,duetotheunit(adomain)canbedividedintovariousshapesandsizesofdiff
2、erentsize,soitcanwelladapttothecomplexgeometry,complexmaterialpropertiesandcomplicatedboundaryconditionsFiniteelementmodel:isitrealsystemidealizedmathematicalabstractions.Iscomposedofsomesimpleshapesofunit,unitconnectionthroughthenode,andunderacertainload.Finite
3、elementanalysis:istheuseofmathematicalapproximationmethodforrealphysicalsystems(geometryandloadingconditionsweresimulated.Andbyusingsimpleandinteractingelements,namelyunit,canusealimitednumberofunknownvariablestoapproachinginfiniteunknownquantityoftherealsystem.
4、Linearelasticfiniteelementmethodisaidealelasticbodyastheresearchobject,consideringthedeformationbasedonsmalldeformationassumptionof.Inthiskindofproblem,thestressandstrainofthematerialislinearrelationship,meetthegeneralizedhooke'slaw;Stressandstrainislinear,linea
5、relasticproblemboilsdowntosolvinglinearequations,soonlyneedlesscomputationtime.Iftheefficientmethodofsolvingalgebraicequationscanalsohelpreducethedurationoffiniteelementanalysis.Linearelasticfiniteelementgenerallyincludeslinearelasticstaticsanalysisandlinearelas
6、ticdynamicsanalysisfromtwoaspects.Thedifferencebetweenthenonlinearproblemandlinearelasticproblems:1)nonlinearequationisnonlinear,anditerativelysolvingofgeneral;2)thenonlinearproblemcan'tusesuperpositionprinciple;3)nonlinearproblemisnotthereisalwayssolution,somet
7、imesevennosolution.Finiteelementtosolvethenonlinearproblemcanbedividedintothefollowingthreecategories:1)materialnonlinearproblemsofstressandstrainisnonlinear,butthestressandstrainisverysmall,alinearrelationshipbetweenstrainanddisplacementatthistime,thiskindofpro
8、blembelongstothematerialnonlinearproblems.Duetotheoreticallyalsocannotprovidetheconstitutiverelationcanbeaccepted,so,generalnonlinearrelationsbetweenstressandstrainof
