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《A macroscale phase-field model for shape memory alloys with non-isothermal effects》由會(huì)員上傳分享，免費(fèi)在線閱讀，更多相關(guān)內(nèi)容在學(xué)術(shù)論文-天天文庫(kù)。
1、Availableonlineatwww.sciencedirect.comActaMaterialia60(2012)179–191www.elsevier.com/locate/actamatAmacroscalephase-?eldmodelforshapememoryalloyswithnon-isothermale?ects:In?uenceofstrainrateandenvironmentalconditionsonthemechanicalresponseab,?cD.Grandi,
2、M.Maraldi,L.MolariaDepartmentofMathematics,UniversityofBologna,PiazzadiPortaS.Donato5,I-40126Bologna,ItalybDIEM,UniversityofBolognaVialeRisorgimento2,I-40136Bologna,ItalycDICAM,UniversityofBolognaVialeRisorgimento2,I-40136Bologna,ItalyReceived17March20
3、11;receivedinrevisedform17September2011;accepted23September2011Availableonline28October2011AbstractAGinzburg–Landaumodelforthemacroscopicbehaviourofashapememoryalloyisproposed.Themodelisessentiallyone-dimen-sional,inthatweconsiderthee?ectofthemartensit
4、icphasetransitionintermsofauniaxialdeformationalonga?xeddirectionandweuseascalarorderparameterwhoseequilibriumvaluesdescribetheausteniticphaseandthetwomartensiticvariants.ThemodelreliesonaGinzburg–Landaufreeenergyde?nedasafunctionofmacroscopicallymeasu
5、rablequantities,andaccountsforthermale?ects;cou-plingsbetweenthevariousrelevantphysicalaspectsareestablishedbasedonthermodynamicprinciples.Thetheoreticalmodelhasbeenimplementedwithina?nite-elementframeworkandanumberofnumericaltestsarepresentedwhichinve
6、stigatethemechanicalbehav-iourofthemodelunderdi?erentconditions;theresultsobtainedareanalyzedinrelationtoexperimentalevidenceavailableinthelit-erature.Inparticular,thein?uenceofthestrainrateandoftheambientconditionsontheresponseofthemodelishighlighted.
7、ó2011ActaMaterialiaInc.PublishedbyElsevierLtd.Allrightsreserved.Keywords:Phase?eldmodel;Shapememoryalloys;Strain-ratesensitivity;Thermo-mechanicalcoupling1.Introductiontransferandofheatdissipationtowardstheambientareofprimaryrelevanceinthestudyofthesem
8、aterials[2,5]Shapememoryalloys(SMAs)havemanyapplicationsandplayaroleintherate-dependentbehaviourofSMAsandareattractingmuchinterestduetotheiruniqueprop-[3,6].ertiesofshapememoryandpseudoelasticity,whichstemInmodellingthemechanicalbehavio
