简介：The1/3subharmonicsolutionfortheDuffing'sequationisinvestigatedbyusingthemethodsofharmonicbalanceandnumericalintegration.Thesensitivityofparametervariationforthetransientprocessandthetransientprocessfortheperturbanceinitialconditionsarestudied.Overandabove,theprecisionofnumericalintegrationmethodisdiscussedandthenumericalintegrationmethodiscomparedwiththeharmonicbalancemethod.Finally,asymptoticalstabilityofthepuresubharmonicoscillationselementisinspected.

简介：Anapproximatemethodfordescribingtheplastichardening-softeningbehaviourofcircularpipessubjectedtopurebendingispresented.Theo-reticalestimationbasedontheuniformovalizationmodelandlocalcollapsemodelproposedinthepaperisincorporatedtogiveseveralsimpleformulationswithrea-sonableaccuracyfordeterminingtherelationshipbetweenbendingmoment(M)andcurvature(k)inthepurelybendedpipes.Attentionisfocusedonthecriticalcur-vatureassociatedwithmaximumresistantmomentandthemaximumchangeintheoriginaldiameterbeforetheendofuniformovalizationstageaswellasthelocalcollapsebehaviour.Somecomparisonsbetweenanalyticalresultsandexperimentalresultsaremadeinordertoexaminethetheory.

简介：Themechanicalbackgroundofthebivariatesplinespaceofdegree2andsmoothness1onrectangularpartitionispresentedconstructively.Makinguseofmechan-icalanalysismethod,byactingcouplesalongtheinterioredgeswithsuitableevaluations,thedeflectionsurfaceisdividedintopiecewiseform,therefore,therelationbetweenaclassofbivariatesplinesonrectangularpartitionandthepurebendingofthinplateisestablished.Inaddition,theinterpretationofsmoothingcofactorandconformalitycon-ditionfromthemechanicalpointofviewisgiven.Furthermore,byintroducingtwistingmoments,themechanicalbackgroundofanysplinebelongtotheabovespaceissetup.

简介：Anewmicromechanicsconstitutivemodelforpuredilatanttransformationplasticityofstructureceramicsisproposedinthispaper.Basedonthethermodynamics,micromechanicsandmicroscalet→mtrans-formationmechanismanalysisoftheTZPandPSZZrO2-containingceramics,ananalyticexpressionsoftheHelmholtzandcomplementaryfreeenergyoftheconstitutiveelementforthecaseofpuredilatanttransforma-tionisderivedforthefirsttimeinaself-consistentmanner.Bytheanalysisofenergydissipationinthefor-wardandreversetransformations,themieromechanicsconstitutivelawisderivedintheframeworkofHill-Rice’sinternalvariableconstitutivetheory.