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1、Elasticitynd2EditionSOLIDMECHANICSANDITSAPPLICATIONSVolume107SeriesEditor:G.M.L.GLADWELLDepartmentofCivilEngineeringUniversityofWaterlooWaterloo,Ontario,CanadaN2L3GIAimsandScopeoftheSeriesThefundamentalquestionsarisinginmechanicsare:Why?,How?,andHowmuch?Theaimofthisser
2、iesistoprovidelucidaccountswrittenbyauthoritativeresearchersgivingvisionandinsightinansweringthesequestionsonthesubjectofmechanicsasitrelatestosolids.Thescopeoftheseriescoverstheentirespectrumofsolidmechanics.Thusitincludesthefoundationofmechanics;variationalformulatio
3、ns;computationalmechanics;statics,kinematicsanddynamicsofrigidandelasticbodies:vibrationsofsolidsandstructures;dynamicalsystemsandchaos;thetheoriesofelasticity,plasticityandviscoelasticity;compositematerials;rods,beams,shellsandmembranes;structuralcontrolandstability;s
4、oils,rocksandgeomechanics;fracture;tribology;experimentalmechanics;biomechanicsandmachinedesign.Themedianlevelofpresentationisthefirstyeargraduatestudent.Sometextsaremono-graphsdefiningthecurrentstateofthefield;othersareaccessibletofinalyearunder-graduates;butessential
5、lytheemphasisisonreadabilityandclarity.Foralistofrelatedmechanicstitles,seefinalpages.Elasticitynd2EditionbyJ.R.BARBERDepartmentofMechanicalEngineering,UniversityofMichigan,AnnArbor,U.S.A.KLUWERACADEMICPUBLISHERSNEWYORK,BOSTON,DORDRECHT,LONDON,MOSCOWeBookISBN:0-306-483
6、95-5PrintISBN:1-4020-0966-6©2004KluwerAcademicPublishersNewYork,Boston,Dordrecht,London,MoscowPrint©2002KluwerAcademicPublishersDordrechtAllrightsreservedNopartofthiseBookmaybereproducedortransmittedinanyformorbyanymeans,electronic,mechanical,recording,orotherwise,with
7、outwrittenconsentfromthePublisherCreatedintheUnitedStatesofAmericaVisitKluwerOnlineat:http://kluweronline.comandKluwer'seBookstoreat:http://ebooks.kluweronline.comContentsPrefacetotheSecondEditionxvPrefacetotheFirstEditionxviiIGENERALCONSIDERATIONS11INTRODUCTION31.1Not
8、ationforstressanddisplacement41.1.1Stress41.1.2Indexandvectornotation61.1.3Vectors,tensorsandtransformationrules71.1.