METAL FORMING METAL FORMING Formability, Simulation, and Tool Design CHRIS V. NIELSEN Technical University of Denmark, Lyngby,Denmark PAULO A.F. MARTINS IDMEC,Instituto SuperiorTécnico, University of Lisbon, Portugal AcademicPressisanimprintofElsevier 125LondonWall,LondonEC2Y5AS,UnitedKingdom 525BStreet,Suite1650,SanDiego,CA92101,UnitedStates 50HampshireStreet,5thFloor,Cambridge,MA02139,UnitedStates TheBoulevard,LangfordLane,Kidlington,OxfordOX51GB,UnitedKingdom ©2021ElsevierInc.Allrightsreserved. Nopartofthispublicationmaybereproducedortransmittedinanyformorbyanymeans,electronic ormechanical,includingphotocopying,recording,oranyinformationstorageandretrievalsystem, withoutpermissioninwritingfromthepublisher.Detailsonhowtoseekpermission,further informationaboutthePublisher’spermissionspoliciesandourarrangementswithorganizationssuch astheCopyrightClearanceCenterandtheCopyrightLicensingAgency,canbefoundatourwebsite: www.elsevier.com/permissions. 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LibraryofCongressCataloging-in-PublicationData AcatalogrecordforthisbookisavailablefromtheLibraryofCongress BritishLibraryCataloguing-in-PublicationData AcataloguerecordforthisbookisavailablefromtheBritishLibrary ISBN978-0-323-85255-5 ForinformationonallAcademicPresspublications visitourwebsiteathttps://www.elsevier.com/books-and-journals Publisher:MatthewDeans AcquisitionsEditor:DennisMcGonagle EditorialProjectManager:CharlotteRowley ProductionProjectManager:PoulouseJoseph CoverDesigner:ChristianBilbow TypesetbySPiGlobal,India To our families. Contributors BrianN.Legarth TechnicalUniversityofDenmark,Lyngby,Denmark (Chapter5) LuisM.Alves InstitutoSuperiorT(cid:1)ecnico,UniversityofLisbon,Lisbon,Portugal (Chapter6) MariaBeatrizSilva InstitutoSuperiorT(cid:1)ecnico,UniversityofLisbon,Lisbon,Portugal (Chapter2) NielsBay TechnicalUniversityofDenmark,Lyngby,Denmark (Chapter6) xi Preface The present book is intended as an advanced textbook on metal forming, which aims at bridging the gap between standard BSc and MSc teaching and advanced research topics focusing on three main topics: (i)formability,(ii)finiteelementmodellingand(iii)tooldesign.Theobjec- tivesareasfollows:firstly,toprovideessentialknowledgeonformabilityand finiteelementtopics,whichstudentsandengineersuseintheirdailyactiv- ities, sometimes without fully understanding the theoretical background; secondly, to give readers, who have attended basic metal forming courses to be able to understand some of the topics that are currently dealt with inadvancedresearchonmetalforming;andfinally,toprovideyoungengi- neers taking the first steps in advanced tool design and sizing, a gateway to the industry. Theintroductorychapter(Chapter1)givesabroaderdescriptionofthe scopeof thebookandends with aclassification of metalformingprocesses based on their load/deformation pattern according to the German DIN standard. Chapter2isdedicatedtothemechanismsoffractureandplasticinstabil- ity.Themostcommonlyappliedphenomenologicalmodelsofductiledam- ageandfracturebasedoncontinuummechanicsarepresented.Thesecond partofChapter2isdedicatedtoplasticinstabilitypresentingtheclassicthe- ory by Swift as well as Marciniak-Kuczynski theory for instability in sheet forming.Afinalpartdescribestypicalmaterialflowdefectsinbulkandsheet metal forming. Chapter 3 presents a user’s perspective on finite element modelling of metal forming processes providing information about accuracy, reliability and validity. A number of simple examples are given, which illustrates theprosandconsofthedifferentformulations(flowformulation,solidfor- mulation and dynamic formulation). The chapter is very useful to users of commercial codes with little knowledge about finite element modelling. Chapter4providesdeeperknowledgeonfiniteelementanalysisofmetal formingexemplifiedbytheflowformulation,inwhichthetwoauthorshave long-term expertise. Throughout the chapter, some very useful, simple examples illustrate the numerical issues and their solutions. Chapter5providesintroductoryknowledgeonthefiniteelementsolid formulationappliedtometalformingbydiscretisationandimplementation xiii xiv Preface of the finite element equations for an elastic-viscoplastic material model. It opens the way for readers, who want to progress to more sophisticated implementations of the solid formulation. Chapter 6 provides a comprehensive description of tool design. The chapter gives examples on tools, design guidelines including dimensioning as well as information on tool materials and lubricants. Thereareseveralbookscoveringthefundamentalsonmetalformingat BSc and MSc levels and a significant number of books covering specific research topics of metal forming. The present book aims at bridging the gap between these two types of books. Niels Bay Emeritus Professor Technical University of Denmark, Lyngby, Denmark Acknowledgements This book would never have been written without the collaboration and supportofseveralpeople,companiesandinstitutions.Westartbythanking our coauthors Beatriz Silva, Brian Legarth, Luis Alves and Niels Bay, who generously contributed with their knowledge to several chapters of this book. Niels Bay is further acknowledged for his long-time scientific and technical mentoring of the authors. TonyAkins,whodiedin2018,isalsorememberedforhisinspirational vision on the interaction between formability and fracture mechanics. Erman Tekkaya has been sharing high-quality teaching material and knowledge with Paulo Martins for a long time. This was an important and inspiring source of information for some of the chapters included in this book. The support of Klaus Schreiner from Hatebur, Viktor Lazorkin from Lazorkin Engineering and Motonobu Furuya from NICHIDAI Corpora- tion, and of their companies to the tool design chapter is greatly acknowl- edged. Similar acknowledgements go to the permissions given by the editorial company Casteilla. TheEnglishlanguagerevisionofthechaptersinthisbookbyTomand Jan Goodwin is also greatly acknowledged by the authors. The authors also want to thank Dennis McGonagle for believing and supporting the authors’ book proposal and Poulouse Joseph for the great help provided during the preparation of this book. ThesupportoftheTechnicalUniversityofDenmark,InstitutoSuperior T(cid:1)ecnicoattheUniversityofLisbon,Fundac¸a˜oparaaCi^enciaeaTecnologia of Portugal and IDMEC under LAETA-UIDB/50022/2020 and PTDC/ EME-EME/0949/2020 is also acknowledged. Finally,wewouldliketothankourfamiliesforthesupportandencour- agement they gave us during the writing of this book. Chris V. Nielsen Paulo A.F. Martins xv CHAPTER 1 Introduction* Students attending metal forming courses are exposed to a wide range of topicscoveringplasticitytheory,analyticalandnumericalmethodsofanal- ysis,materialscience,formabilityandfracture,frictionandlubrication,pro- cesses and machine tools, and tool design. However, the type of exposure varies from university to university. In general, it can be said, with due exceptions,thatthehighertheintensitylevelinplasticity,methodsofanal- ysis,andformabilityandfracture,thelowertheintensitylevelanddepthin processes, machine tools, and tool design. The vice versa is equally true. Electiveadvancedcoursesinmetalformingaremoredifficulttocharac- terisebecausetheyareoftendesignedintheimageoftheprofessorswhoare responsible for them, namely on their research expertise. Although this situation may in some cases solve the low-intensity levels of exposure that studentsmay have had to sometopicsof metalforming intheir mandatory BSc or MSc courses, it may in other cases further deepen the differences between the levels of exposure to different topics. Thisbookdoesnotaimtosolvealltheseproblemsnortoprovidereaders withauniformlevelofknowledgeinalltheaforementionedtopicsofmetal forming.However,itpicksthreemajorkeytopicsinmetalforming,which areoftennottaughtwiththesamelevelofintensity:(i)formability,(ii)finite elementmodelling,and(iii)tooldesign,inordertoprovidereaderswithan integrated,highlevelofexposuretotheoretical,experimental,anddesign- related subjects. Takingtheseobjectivesintoaccount,thisbookstartswithachapteron formabilityinmetalforming(seeChapter2).Incontrasttoothertextbooks ofmetalforming,thechapterstartswithfractureandendswithplasticinsta- bilityandneckingbecausethelatterisnotcriticalinallmetalformingpro- cesses.Thepresentationdrawsfromnucleation,growth,andcoalescenceof voids, to the characterisation of different crack opening modes in terms of plastic flow, microstructural damage and fractography. The role played by * ChrisV.Nielsen(TechnicalUniversityofDenmark,Lyngby,Denmark)andPauloA.F. Martins(IDMEC,InstitutoSuperiorT(cid:1)ecnico,UniversityofLisbon,Portugal). MetalForming ©2021ElsevierInc. https://doi.org/10.1016/B978-0-323-85255-5.00010-8 Allrightsreserved. 1