saouma v.e. mechanics of materials. fundamentals of inelastic analysis (u.colorado lecture notes, draft, 2002)(282s)

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1、DraftDRAFTLectureNotesIntroductiontoMECHANICSofMATERIALSFundamentalsofInelasticAnalysis
cVICTORE.SAOUMADept.ofCivilEnvironmentalandArchitecturalEngineeringUniversityofColorado,Boulder,CO80309-0428DraftiiVictorSaoumaMechanicsofMaterialsIIDraftiiiPREFACEOneofthemostfundamental

2、questionthatanEngineerhastoaskhim/herselfiswhatishowdoesitdeform,andwhendoesitbreak.Ultimately,ititstheanswertothosetwoquestionswhichwouldprovideuswithnotonlyapropersafetyassesmentofastructure,butalsohowtoproperlydesignit.Ironically,boththeACIandtheAISCcodesarebasedonlimitst

3、atedesign,yetpracticallyalldesignanalysesarelinearandelastic.Ontheotherhand,theEngineerisoftenconfrontedwiththetaskofdeterminingtheultimateloadcaryingcapacityofastructureortoassessitsprogressivedegradation(intheontectofaforensicstudy,ortherehabilitation,orlifeextensionofanex

4、istingstructure).Inthoseparticularsituations,theEngineershouldbecapableofgoingbeyondthesimplelinearelasticanalysisinvestigation.WhereastheFiniteElementMethodhasprovedtobeaverypowerfulinvestigativetool,itsproper(andcorrect)usageinthecontextofnon-linearanalysisrequiresasolidan

5、dthoroughunderstandingofthefundamentalsofMechanics.Unfortunately,thisisoftenforgottenasstudentsrushintoevermoreadvancedFEMclasseswithoutapropersolidbackgroundinMechanics.Inthehumbleopinionoftheauthor,thisunderstandingisbestachievedintwostages.First,thestudentshouldbeexposedt

6、othebasicprinciplesofContinuumMechanics.Detailedcoverageof(3D)Stress,Strain,GeneralPrinciples,andConstitutiveRelationsisessential.Inhereweshallgofromthegeneraltothespecific.Thenmaterialmodelsshouldbestudied.Plasticitywillprovideaframeworkfromwheretodeterminetheultimatestrengt

7、h,FractureMechanicsaframeworktocheckbothstrengthandstabilityofflawedstructures,andfinallyDamageMechanicswillprovideaframeworktoassessstiffnessdegradationunderincreasedload.ThecoursewasoriginallyofferedtosecondyearundergraduateMaterialsSciencestudentsattheSwissInstituteofTechnolo

8、gyduringtheauthor’ssabbaticalleaveinFrench.Thenotesweredevelopedwiththefoll