Plastic Flow and Fracture in Solids英文文献资料

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1、PlusticFlowANDFmctnreinSokdsTRACYY.THOMASGraduateInstituteforMathmaticsandMechanicslndianaUniversity,Bloomington,IndianaandAppliedMathematicsStafUS.NavalResearchLaboratory,Washington,D.C.1961NewYorkACADEMICPRESSLondonCOPYRIGHT@1961,BYACADEMICPRESSIsc.ALLRIGHT8RESERYE

2、DNOPARTOFTHISBOOKMAYBEREPRODUCEDINANYFORMBYPHOTOSTAT,MICROFILM,ORANYOTHERMEANS,WITHOUTWRIlTENPERMISSIONFROMTEEPEBIdSHERG.ACADEMICPRESSINC.111FIFTHAVENUENEWYOBK3.N.Y.UnitedKingdomEditionPublishedbyACADEMICPRESSINC.(LONDON)LTD.17OLDQUEENSTREET,LONDONS.W.1LibraryofCongr

3、essCatalogCardNumber61-12/77PEINTEDINTEEUNITEDSTATESOFAMERICAPrefaceInthefollowingbook*wehavegivenanaccountofplasticflowandfractureinsolids,basedtoalargeextentonworkwhichhasbeendoneoverthelastfiveyearsonthegrowthanddecayofdiscontinuitiesincontinuousmedia.Webelievetha

4、tthisbookwillbesuitableforacourseatthegraduatelevelforstudentsofappliedmathematicsandengineeringwhoseinterestisinthemechanicsofsolids.Aconvenientsourceofreferencetothebasicresultsintensoranalysisanddifferentialgeometry,whichwehavepresupposed,isofferedbyourrecentsurve

5、yConceptsfromTensorAnalysisandDiferentialGeometry,Volume1ofthisSeries.Specificreferencestothissurveyhavebeenmadewhenitwasfeltthatsuchreferencesmightbehelpfultothereader.Inthefirstchapterwehavediscussedthetensorinvariantsofthecontinuousmediumandhavederivedthefundament

6、alequationsofcontinuityandmotionaswellasthegeneraldynamicalconditionsfordiscontinuityindensity,velocityandstressoverasurface.ThetheoryofgeometricalandkinematicalconditionsofcompatibilitywhichisdevelopedinChapterI1underliesmostofthefollowingworkanditwouldappearadvisab

7、letomasterthischapterthoroughlybeforepro-ceedingtotheotherchapters.AsafirstapplicationoftheconditionsofcompatibilitywehavetreatedtheproblemofthedecayofwavesinelasticmediainChapter111.WebelievethatChapterIVwillbeofconsiderableinteresttomostreaders.Inthischapterwehaved

8、erivedthevariousconstitutiveequationsforaperfectlyplasticsolidfromasetofassumptionscharacterizingtheplasticdeformations.Thispre-sen