Foundations of Solid Mechanics-东南大学中国大学mooc课后章节答案期末考试题库2023年

FoundationsofSolidMechanics_东南大学中国大学mooc课后章节答案期末考试题库2023年Thevirtualworkprincipleisvalidforbothlinearandnonlinearhyperelasticmaterialsundergoingsmalldeformation.

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正确

The()isdefinedastheworkdoneonadeformablebodybyalltypeforces,includingsurfaceandbodyforces.

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virtualwork

Themaximumnormalstresscriterionisnotgoingtobeaccurateforhydrostaticcompression.

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正确

Thosevectorsandmatricesthatsatisfythetransformationrulesbetweencoordinatesarecalledtensors.

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正确

Howmuchisthedeterminantofthetransformationmatrixbetweendifferentcoordinatesystems?

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1_-1

Fatiguehasthefollowingfeatures:

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Itisofteninfluencedbyfactorseludingrecognition_Itoftenstartsfromsurfacedefects_Itnormallyoccursinrotatingmachineparts_Itusuallyresultsinbrittlefracture

WhatarebasicdeformationmodesinMechanicsofMaterials?

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Simplebeambending_Shearduetotransverseload_Simpletorsion_Simpletension

Thereareonlytwotypesofforces.Oneiscontactorsurfaceforces,anotheriscalledthe()force.

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body

Theelasticmaterialsalwaysbehavelinearly.

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错误

WhichofthefollowingstatementsarecorrectforCastigliano'sfirsttheorem?

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Thistheoremisvalidforbothlinearandnonlinearelasticmaterials._Thespecificmaterialresponsesdoaffecthowstrainenergyiscalculated._Thistheoremissimplyanapplicationoftheminimumtotalpotentialenergy_Weneedtoexpressthestrainenergydirectlyintermsofdisplacements.

ThesethreeI1I2andI3inthecharacteristiccubicequationwillbechangingwiththecoordinatetransformation.

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错误

Whichofthefollowingcorrespondingstrainenergydensitiescontainonlyoneterm?

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Pureshearstate_Uniaxialstressstate

Inthemostgeneralcase,wecandividethefailurecriteriaintotwobigparts.Onefor()criteria,andmostlyforductilematerials,likemetals.

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yielding

Inmechanicsofmaterials,theshearstrainvarieslinearlyfromzeroatthecentertoamaximumontheoutersurfaceforcircularcrosssections.

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正确

For2Dcase,wewillhave()constitutiveequations.

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three

Thedeviatoricstressstateisresponsibleforthevolumechange.

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错误

Whichofthefollowingstatementsisnotcorrectforshearcenter?

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Thelocationoftheshearcenterisdependentofthedirectionandmagnitudeofthetransverseforces

Acurvedbarorbeamisastructuralelementforwhichthelocusofthecentroidsofthecrosssectionsisacurvedline()deformation.

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before

Whichofthefollowingstatementsarecorrectforunsymmetricbending?

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Theresultantmomentisnolongerparalleltotheneutralaxis_Theresultantmomentisperpendiculartotheloadingplane_Thelateraldeflectionisperpendiculartotheneutralaxis_Itdoesn’trequiresuchasymmetryplanefortheloads

Wecanchooseanyplanecoordinatesintheunderunsymmetricbending,unlesstheyarerequiredtobecentroidalaxis.

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正确

Inthemechanicsofmaterials,wealwaysassumesomekinematicrelationsdealingwithsomeassumeddeformationmodes.

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正确

Forthedisplacementformulationmethod,weneedtouse().

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Hooke'slaw_Geometrical_Equationsofmotion

Whichofthefollowingmaterialsaretypicallyanisotropic?

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Composites_Woods_Aggregates_Bones

Wewillhavetouse(),andtheboundaryconditionsEq.(5)fortypicalstressformulationmethod.

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Equilibrium_Constitutive_Compatibility

Forprinciplestressstates,wedonothave()component.

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shearstress

Bydefinition{}issimplystrainenergyperunitvolume.

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thestrainenergydensity##%_YZPRLFH_%##strainenergydensity

Wecanwrite【图片】

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错误

Thehomogenousmaterialcanbeanisotropic.

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正确

HowmanytimesdidweapplyGreen'stheoryindevelopingAiry'sstressfunction?

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3

WhichofthefollowingequationscanbetreatedasthedefiningequationsoftheAiry'sstressfunction?

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___

Whichofthefollowingtypesofboundaryconditionsisnotcorrect?

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Bothatractionandadisplacementcomponentsareprescribedineachdirection.

Forplanestressstate,alloutofplanestresscomponentsareidenticallyzero.

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正确

Inplanestrainstate,alloutofplane()componentsareidenticallyzero.

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strain

Wecanhavethegeneralstressstatedecompositionas

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deviatoricstressstate_hydrostaticstressstate

Hassolidmechanicsfounditsapplicationsinwhichofthefollowingengineeringareas?

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Civilengineering_Aeronauticalandaerospaceengineering_Mechanicalengineering_Materialsscienceandengineering

{}representsthepartoftheenergythatiscomplementarytothestrainenergy

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complementaryenergy##%_YZPRLFH_%##Complementaryenergy

Thestrainenergywillbeworkdonebyinternalforces.

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正确

Whichofthefollowingstatementsarecorrectforsymmetricbending?

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Theresultantmomentalwaysparalleltotheneutralaxis_Allthetransverseloadsactingonasymmetryplane_Thelateraldeflectionisperpendiculartotheneutralaxis,andparalleltotheloadingplane_Stresscomponentsforsymmetricbendingcanbeobtainedfrommechanicsofmaterialsapproach

Whentheforcedoesnotactthroughtheshearcenter,inadditiontobending,atwistingactionresults.

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正确

Weassumethatthereisonly()inthecurrentunsymmetricbeam.

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bending

Considerthefollowingthreestatesofprincipalstresses,inMPa:【图片】UsingtheTrescaCriterion,rankthesestatesofstress,frommostdangeroustoleast.

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(3)>(1)=(2)

WhichofthefollowingequationsareincludedinAiry'sstressfunctionmethod?

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__

Whichofthefollowingmodeisnonlinear?

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Shearduetotransverseload

Forageneralstressstate,whichofthefollowingrelationsarecorrect?

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__

Fromthenormalstressformulaequationinpurebendingcase,thelargestnormalstresswillbeeitheronthetoporonthebottomofthebeamonthecrosssection,wherethemomentislargest.

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正确

Bystresswemeantheintensityof()force.

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aninternal##%_YZPRLFH_%##internal

Whichofthefollowingstatementsisnotcorrectforcurvedbeams?

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Theinfluenceoftransverseshearonbeamdeformationmustbetakenintoaccount

Intreatingnon-circularprismaticbars,whichofthefollowingstatementsarecorrect?

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Weneedtodevelopnewtheoriesthatcanaccountforwarpingofthecrosssection._Theshearstressesaretreatedtobezeroatcorners_Theshearstresses

variesalongthesamecontouronthesamecross-section

Examplesofscalarsinclude

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densityofmaterials_mass_temperature

Inindicialnotation,noindexcanappearmorethan()timesinasinglealgebraicterm.

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2

Intreatingnon-circularprismaticbars,crosssectionsinitiallyplaneexperienceout-of-planedeformationorwarping,andthebasickinematicassumptionsoftheelementarytheoryareappropriate.

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错误

InPrandtlstressfunctionmethod,thestressfunction【图片】is()onthelateralsurface.

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constant##%_YZPRLFH_%##aconstant##%_YZPRLFH_%##zero##%_YZPRLFH_%##0

Thefeaturesofenergymethods:

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Theyareapplicabletobothlinearandnonlinearmaterials_TheyanalogoustoLagrange’ssolutionfordiscretesystemsindynamics_Theyareappliedtoderiveapproximatesolutionsortoformulatecomputermodels_Theyinvolveonlyscalerquantities,suchasworkandenergy

The()isahypotheticalverysmalldisplacementthatisconsistentwithkinematicconstraints.

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virtualdisplacement

Inthehistoryofsolidmechanics,whofirstpointedoutthatabodyisdeformedsubjecttotheactionofaforce?

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RobertHooke

Theroleofvariationalprinciples:

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Manyproblemsofmechanicsareposedintermsoffindingtheextremumandthus,bytheirnature,canbeformulatedintermsofvariationalstatements._Thereareproblemscanbeformulatedbyothermeans,suchasbyvectormechanics,butthesecanalsobeformulatedbymeansofvariationalprinciples._Variationalformulationsformapowerfulbasisforobtainingapproximatesolutionstopracticalproblems,manyofwhichareintractableotherwise._Variationalformulationscanalsoservetounifydiversefields,suggestnewtheories,andprovideapowerfulmeansforstudyingtheexistenceanduniquenessofsolutionstoproblems.

Theshearcenterofathin-walledopencross-sectioncanbe()fromthecentroid,unlikethatforasolidorthick-walledcross-section.

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faraway##%_YZPRLFH_%##away

TheAirystressfunctionin2-Delasticitysatisfiesabiharmonicequationthatisobtainedfromthe()equation.

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compatibility

Highcyclefatigueiscontrolledbyplasticdeformations,whilelowcyclefatigueiselasticdeformation-based.

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错误

TheCoulomb-Mohrfailurecriterionincludesthemaximumnormalstresscriterionasaspecialcase.

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正确

Whichofthefollowingdescriptionsisnotcorrect?

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Thefatiguelifeinthelowcyclefatigueislong.

Whichofthefollowingcriterioncanbeapplyforductilematerial?

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VonMisescriterion_Octahedralshearstresscriterion_Trescacriterion

Ifthereisanobservablecrack,wecanstillusefailurecriteria.

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错误

Inthemostgeneralcase,wecandividethefailurecriteriaintotwobigparts.Onefor()criteria,whichforbrittle