简介：Theballoon-basedcathetersareattractivefortheminimallyinvasiveproceduresbecausethesecatheterscanbeconfiguredtomatchrequirementsonsizeandshapefortheinteractionwiththesofttissue.Ananalyticalmechanicmodelisdevelopedforthedeformedballoontodeterminetheshapeoftheinflatedcatheter.Thebridgesalonglatitudinaldirectionshouldbehighstretchableduetothehighelongationalongthelatitudeoftheinflatablecatheter.Theseresultsagreewellwiththefiniteelementmethodwithoutanyparameterfitting.

简介：Theratioofexpectationcrossingsofdielectricelastomerballoonexcitedbyrandompressureisanalyticallyevaluatedinthisletter.TheMooney–RivlinmodelisadoptedtodescribetheconstitutiverelationwhiletherandompressureisdescribedbyGaussianwhitenoise.Throughaspecifictransformation,thestochasticdifferentialequationsforthetotalenergyandphasearederived.Withtheapplicationofthestochasticaveraging,thesystemtotalenergyisthenapproximatedbyaone-dimensionaldiffusionprocess.SolvingtheassociatedFokker–Planck–Kolmogorov(FPK)equationyieldsthestationaryprobabilitydensityofthesystemtotalenergy.Theratioofexpectationcrossingsisthenderivedbasedonthejointstationaryprobabilitydensityofstretchratioanditsratioofchange.TheefficacyandaccuracyoftheproposedprocedureareverifiedbycomparingwiththeresultsfromMonteCarlosimulation(MCS).