简介：Thispaperisconcernedwiththethermoelasticbehaviorsofanelasticmediumwithvariablethermalmaterialproperties.Theproblemisinthecontextoffractionalorderheatconduction.Thegoverningequationswithvariablethermalpropertieswereestablishedbymeansofthefractionalordercalculus.Theproblemofahalf-spaceformedofanelasticmediumwithvariablethermalmaterialpropertieswassolved,andasymptoticsolutionsinducedbyasuddentemperatureriseontheboundarywereobtainedbyapplyinganasymptoticapproach.Thepropagationsofthermoelasticwaveandthermalwave,aswellasthedistributionsofdisplacement,temperatureandstresseswereobtainedandplotted.Variationsinthedistributionswithdifferentvaluesoffractionalorderparameterwerediscussed.Theresultswerecomparedwiththoseobtainedfromthecaseofconstantmaterialpropertiestoevaluatetheeffectsofvariablematerialpropertiesonthermoelasticbehaviors.

简介：Tomodelthecumulativedeformationofgranularsoilsundercyclicloading,amathematicalmodelwasproposed.Thepowerlawconnectionbetweentheshearstrainandloadingcyclewasrepresentedbyusingfractionalderivativeapproach.Thevolumetricstrainwascharacterizedbyamodifiedcyclicflowrulewhichconsideredtheeffectofparticlebreakage.Allmodelparameterswereobtainedbythecyclicandstatictriaxialtests.Predictionsofthetestresultswereprovidedtovalidatetheproposedmodel.Comparisonwithanexistingcumulativemodelwasalsomadetoshowtheadvantageoftheproposedmodel.

简介：Thethermalshockproblemsinvolvedwithfractionalordergeneralizedtheoryisstudiedbyananalyticalmethod.TheasymptoticsolutionsforthermalresponsesinducedbytransientthermalshockarederivedbymeansofthelimittheoremofLaplacetransform.Aninfinitesolidwithacylindricalcavitysubjectedtoathermalshockatitsinnerboundaryisstudied.Thepropagationofthermalwaveandthermalelasticwave,aswellasthedistributionsofdisplacement,temperatureandstressesareobtainedfromtheseasymptoticsolutions.Theinvestigationontheeffectoffractionalorderparameteronthepropagationoftwowavesisalsoconducted.

简介：Tosatisfytheinterfacialshearforcecontinuityconditions,anewmodelisproposedforthetwo-layercompositebeamwithpartialinteractionbymodifyingReddy’shigherorderbeamtheory.ThegoverningdifferentialequationsforfreevibrationandbucklingareformulatedusingtheHamilton’sprinciple,thenaturalfrequenciesandaxialforcesarethusanalyticallyobtainedbyLaplacetransformtechnique.Theanalyticalresultsareverifiedthroughthecomparisonwiththoseofseveralothermodelscommoninuse;andthepresentedmodelisfoundtobeafineronethantheReddy’s.Aparametricstudyisalsoperformedtoinvestigatetheeffectsofgeometryandmaterialparameters.

简介：Thetransientthermalresponseofathickorthotropichollowcylinderwithfinitelengthisstudiedbyahighordershelltheory.Theradialandaxialdisplacementsareassumedtohavequadraticandcubicvariationsthroughthethickness,respectively.Itisimportantthattheradialstressisapproximatedbyacubicexpansionsatisfyingtheboundaryconditionsattheinnerandoutersurfaces,andthecorrespondingstrainshouldbeleast-squarescompatiblewiththestrainderivedfromthestrain-displacementrelation.Theequationsofmotionarederivedfromtheintegrationoftheequilibriumequationsofstresses,whicharesolvedbypreciseintegrationmethod(PIM).Numericalresultsareobtained,andcomparedwithFEsimulationsanddynamicthermo-elasticitysolutions,whichindicatesthatthehighordershelltheoryiscapableofpredictingthetransientthermalresponseofanorthotropic(orisotropic)thickhollowcylinderefficiently,andforthedetonationtubeofactualpulsedetonationengines(PDE)heatedcontinuously,thethermalstresseswillbecometoolargetobeneglected,whicharenotlikethoseintheonetimeexperimentswithveryshorttime.

简介：ThehigherorderasymptoticfieldsatthetipofasharpV-notchinapower-hardeningmaterialforplanestrainproblemofModeⅠarederived.Theorderhierarchyinpowersofrforvarioushardeningexponentsnandnotchanglesβisobtained.Theangulardistributionsofstressforseveralcasesareplotted.Theself-similaritybehaviorbetweenthehigherordertermsisnoticed.ItisfoundthatthetermswithhigherordercanbenegleetedfortheV-notchangleβ>45°.