资源描述：
《Identification of Material Parameters for Constitutive Equations》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、Chapter19IdentificationofMaterialParametersforConstitutiveEquationsR.MahnkenUniversityofPaderborn,Paderborn,Germanyforexample,Eyckhoff(1974)andNorton(1986).Thefirst1Introduction637typeisthecontrolvariableˆfrepresenting,forexample,2GeneralFrameworkforDevelopmentofthemechanicalandthermalloading.Thesecon
2、dtypeisConstitutiveModels638thestatevariableuˆrepresentingtheresponseofthestruc-ture,suchasdeflection,temperature,orcrackgrowth.Very3ParameterIdentification640often,someofthestatevariablessuchassurfacecracksare4IdentificationMethods641directlyvisiblebyeye.Otherscanbeobservedwithappro-5OptimizationMetho
3、ds643priatesophisticatedexperimentalsetupsuchasstrainfields6InstabilitiesinLeast-squaresProblems645withopticalmeasurements.Ifstatevariablesarelocated7StochasticMethods646withinastructure,suchasstressesandstrains,theseare8ParameterIdentificationforUniformSmalloftenimpossibletomeasureandthusarenotaccess
4、ibletoStrainProblems647theengineer.9ParameterIdentificationforNonuniformThepredictionofmechanicalbehaviorandassessmentofLargeStrainProblems649engineeringcomponentsandstructuresisusuallydoneby10ConcludingRemarks652simulationbasedonanappropriatemodel.AsillustratedinAcknowledgment652Figure1(b),theinputd
5、ataforthisprocessarethecontrolReferences654variablefandthematerialpropertyκ,thusyieldingastatevariableu,which,ingeneral,isdifferentfromthestateFurtherReading655variableuˆofthetrueprocess.Theabove-mentionedgeneralprinciplesapplytoallengi-neeringdisciplinessuchasdynamics,fracturemechanics,1INTRODUCTIO
6、Ncontactmechanics,mechatronics,biomechanics,andsoon.Inthiswork,specificattentionispaidtothesimulationComponentsandstructuresinmodernindustryaresub-oftheconstitutivebehaviorofmaterials,adisciplinethatjectedtoincreasingmechanicalandthermalloadingduehasgainedalotofattentionformanydecadesinresearchtoecon
7、omicrequirements.Figure1(a)illustratesbytermi-nologyofsystemidentificationthattwotypesofvariablesarerelatedwithinthetrueprocessofrealstructures;see,TrueprocessSimulationprocess∧∧fufuStructureModelEncyc
