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材料成形力學(xué)
(雙語(yǔ)教學(xué))MechanicsofMaterialFormingTheContentsoftheSubject1Introduction(引言)2StressAnalysis(應(yīng)力分析)3StrainAnalysis(應(yīng)變分析)4YieldCriteriaforDuctileMetals(塑性材料的屈服準(zhǔn)則)5Stress-StrainRelation(應(yīng)力-應(yīng)變關(guān)系)6StressEvaluationApproch-SlabMethod(工程法)7PlainStrainSlip-lineFieldTheory(平面應(yīng)變滑移線場(chǎng)理論)8ExtremumPrincipleforaRigidPerfectlyPlasticMaterial
(剛塑性材料的極限分析原理)Chapter1Introduction1)Elasticandplasticdeformation(彈性變形和塑性變形)A)ElasticdeformationForce(small)(力)StressState(應(yīng)力狀態(tài))Deformation(strain)(變形或應(yīng)變)Stress-Strain:linear(線性的)Deformation:recoverable(變形)
reversibleElasticdeformationTheoryofelasticity(elasticdeformedbody)(彈性理論)(彈性變形體)1.1DefinitionandscopeofthesubjectB)PlasticdeformationStress-Strain:non-linear(非線性的)Deformation:irrecoverable(不可恢復(fù)的)(變形)irreversiblePlasticdeformationTheoryofPlasticity(塑性理論)2)TheoryofPlasticity(塑性理論)Itisconcernedwiththemathematicalstudyofstressandstraininaplasticallydeformedbody.塑性理論主要考慮塑性變形體內(nèi)應(yīng)力-應(yīng)變的數(shù)學(xué)關(guān)系。Object(研究對(duì)象)Researchmethod(研究方法)Ductilemetalmaterials(塑性金屬材料),independentoftime.ExperimentalobservationMacroscopicbehaviour.FormulizationItisdifferentfrommaterialscience.PhysicalexplanationMicroscopestructureCombineTheoryofplasticityMaterialscienceUnifiedtheoryofplasticityOurtask
3)NatureofEngineeringPlasticity(工程塑性理論的特性)Practiceandapplication(實(shí)踐和應(yīng)用)ToconstructrelationbetweenstressandstrainformetalsandtheiralloysTodevelopmathematicaltechnique,determinestressdistributionandpredictplasticdeformationTwoaimsFeaturesComplexstressstateNon-linearMath.difficultiesAssumptionsapproximations1864.TrescaYieldcriterion1.2BriefhistoricalaccountH.E.Trescacarriedoutexperimentsofmetalformingsuchaspunching,extrusionandcompressionusingsomemetals,andmeasuredtherelationbetweenformingloadandramdisplacement.HepresentedaseriesofpaperstotheFrenchAcademyofSciences,firstin1864.InFig.4thecross-sectionofanextrudedbilledmadeof20leadsheetsisgiven.Trescawasinterestedinthemetalflowassuggestedbythetitleofhisfirstpaper,(Ontheflowofsolidbodysubjectedtohighpressure),notyieldinginmaterialtesting.TrescaassumedthattheextrusionforcePcouldbeexpressedintermsoftheshearstressk,andestimatedthevalueofkfromthemeasuredformingloadofvariousprocesses.Becausethevaluesofshearstresskestimatedfromtheformingloadsdroppedinacertainrange,heconcludedthatthemetalflowoccurredunderaconstantmaximumshearstress.Saint-VenantandLévy1.2BriefhistoricalaccountWhenTrescapresentedhispapertotheFrenchAcademyofSciences,BarrédeSaint-Venant(1797–1886)wastheauthorityofmechanicsinFrancewhowaselectedamemberoftheAcademyin1868.AfterreadingtheexperimentalresultsofplasticflowbyTresca,hisattentionwasdrawntotheareaofplasticity.In1871,hewroteapaperonelastic-plasticanalysisofpartlyplasticproblems,suchastwistingofrod,bendingofrectangularbeamandpressurizingofhollowcylinder.Saint-Venantassumedthat(1)thevolumeofmaterialdoesnotchangeduringplasticdeformation,(2)thedirectionsofprincipalstrainscoincidewiththoseoftheprincipalstresses(nowknownastotalstraintheory),(3)themaximumshearstressateachpointisequaltoaspecificconstantinplasticregion.1.2Briefhistoricalaccount1.2BriefhistoricalaccountProgressofresearchinyieldcondition1.2Briefhistoricalaccount1.2Briefhistoricalaccount1920.PrandtlandHencky.Theoryofsliplinefield1.2BriefhistoricalaccountLudwigPrandtl(1870–1953)receivedengineeringeducationattheMunichTH.Aftergraduating,heremainedattheschoolasanassistantofA.F?ppl,andcarriedoutdoctoralworkonbendingofcircularplates.Afterworkingintheindustryforawhile,hewasappointedasaprofessorofindustrialmechanicsofHannoverTHin1900.Thereheproposedmembraneanalogyoftorsionandboundarylayeroffluidflow.In1904hewasinvitedtotheInstituteofMechanicsinG?ttingenUniversity.Soonhebegantostudyplasticitysuchasplasticbucklingandbending.Hewasappointedtheleaderofthelaboratoryofaerodynamics,andstudiedwingtheoremandotherimportantworksoffluiddynamics.In1922Prandtlestablishedthesocietyofappliedmathematicsandmechanics,“Gesellschaft
für
Angewandte
MathematikundMechanik”,andledtheareaofappliedmechanics.Heisalsofamousastheteacherofmanyleadersinmechanicsinthe20thcenturysuchasTh.vonKármán(CaliforniaInstituteofTechnology),S.P.Timoshenko(StanfordUniversity),A.Nádai(WestinghouseLaboratory),W.Prager(BrownUniversity)andothers.1.2Briefhistoricalaccount1.2Briefhistoricalaccount1.2Briefhistoricalaccount1.2Briefhistoricalaccount1.2Briefhistoricalaccount1925.Von-Karman.Slabmethodapplytorolling1.2Briefhistoricalaccount1.2Briefhistoricalaccount1.2BriefhistoricalaccountChapter1Introduction1)AccordingtothehomologoustemperatureTHthehomologoustemperatureTheabsolutetesttemperature(實(shí)驗(yàn)時(shí)的絕對(duì)溫度)Theabsolutemeltingtemperature(絕對(duì)熔點(diǎn)溫度)Hotmetalformingprocesses(熱加工)Coldmetalformingprocesses(冷加工)Intermediate:Warmmetalformingprocesses(溫加工)1.3Classificationofmetalformingprocesses2)AccordingtothetypeofstressstateCompressivestressstate(predominant)Squeezinggroup(壓應(yīng)力狀態(tài)類)UpsettingClosedieforgingForging(鍛造)Extrusion(擠壓)ForwardBackwardPunch(沖頭)Work-piece(工件)Rolling(軋制)TensilestressstateDrawinggroup(拉應(yīng)力狀態(tài)類)s1s2s3Drawingofsheet,tube,barandwire.Fs1s2s3Deepdrawing.s1s2s3Dendinggroup(彎曲類)Tensilestressstateononeside.Compressio
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