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1、C12PARTIIAandPartIIBC12MATERIALSSCIENCEANDMETALLURGYCourseC12:PlasticityandDeformationProcessing9Lectures+2ExamplesClassesKMKPlasticityandplasticflowincrystals(11/2lectures)Plasticflowanditsmicroscopicandmacroscopicdescriptions.Yieldincrystals:derivationofthestres
2、stensorforglideonageneralplaneinageneraldirection.Definitionofanindependentslipsystem.Needforfiveindependentslipsystemstoaccommodategeneralstrain.Examplesinmetalsandceramics.Continuumplasticity(2lectures)Stress-straincurvesofrealmaterials.Definitionofyieldcriterio
3、n.Conceptofayieldsurfaceinprincipalstressspace.Yieldcriteria:Tresca,vonMises,Coulomb,pressure-modifiedvonMises.PhysicalinterpretationofTresca(maximumshearstress)andvonMises(strainenergydensity,octahedralshearstress)yieldcriteria.Experimentaltestofyieldcriteria(Tay
4、lorandQuinney).Yieldcriteriaapplicabletometals,polymersandgeologicalmaterials.Plasticstrainanalyses(11/2lectures)Levy-Misesequations.Example:pressurisedthin-walledcylinder.Deformationinplanestress:yieldingofthinsheetinbiaxialanduniaxialtension.Planestressdeformati
5、on:Lüdersbands.Planestraindeformation:derivationofstresstensorandseparationintohydrostaticanddeviatoriccomponents.EquivalenceofTrescaandvonMisesyieldcriteriainplanestrain.Sliplinefieldtheory(1lecture)Physicalinterpretationofsliplines.Sliplinefieldsforcompressionof
6、slab,comparisonwithshearpatternintransparentpolymers.Henckyrelations.Examples:indentationbyflatpunch,yieldindeeplynotchedbar.Estimationofforcesforplasticdeformation(3lectures)Stressevaluationandworkformulae.Applicationtorollingandwire-drawing.Upperandlower-boundth
7、eorems.Limitanalysesforindentation,extrusion,machiningandforging.Velocity-vectordiagrams:hodographs.Classicaltheoryofthestrengthofsolderedandgluedjoints.Useoffinite-elementmethodsinanalysesofmetalformingoperations.KMK/LT06C12−2−C12BookListP.A.Benham,R.J.Crawfordan
8、dC.G.Armstrong,MechanicsofEngineeringMaterials,2ndedn,Prentice-Hall,1996AB181C.R.Calladine,PlasticityforEngineers,EllisHorwood,1985Kc38G.E.Dieter,Mechan
