基于非线性生物力学模型和无网格galerkin法的软组织形变仿真

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1、华北水利水电大学硕士论文II万方数据ABSTRACTSOFTTISSUEDEFORMATIONSIMULATIONBASEDONNONLINEARBIOMECHANICALMODELANDMESHLESSGALERKINMETHODABSTRACTVirtualsurgeryisavirtualrealityapplicationespeciallydesignedforsimulatevarietiesofphenomenonduringthesimulationofsurgery,whichcombineto

2、externalinteractivedevicescanprovidearealisticsurgeryscenefordoctors,andultimatelyachievethepurposesofreducesurgicaltrainingcosts,improvesurgicaltreatment,reducethepatient’spainduringsurgeryandreducetheriskofsurgery.Currently,thesofttissuedeformationcalculati

3、onisbasedonthefiniteelementmethodinmostofvirtualsurgerysystem,buttheaccuracyandstabilityofcalculationmethodbasedonmeshwillbesharpdeclinewhenthecalculationmethodinfluencedbydistortionmeshsuchlargedeformationandcuttingoperations,whichseriouslyaffectingthedeform

4、ationsimulationprocess.Thispaperfocusontheshortcomingsofcurrentdeformationmodel,establishedthedeformationmodelofsofttissuebasedonmeshlessmethodandtheoryofviscoelasticmechanics,finallyrealizethesimulationofsofttissuedeformation.Thispaperusedthemeshlessmethodto

5、calculatethesofttissuedeformationfortheproblemoflowaccuracyandpoorstabilityoffiniteelementmethod.Meshlessmethodishighaccuracyandstability,especiallysuitforlargedeformation,whichcangreatimprovesimulationaccuracyandstabilityunderlargedeformation.Thispaperestabl

6、ishednonlinearviscoelasticmodelbasedonmeshlessmethodaccordingtobiomechanicalpropertiesandviscoelastictheoryinsofttissuedeformationmodeling.Firstlystudiedclassicallinearelasticmodelandgetthegeneralstructurallinearviscoelasticmodelbylinearelasticmodel,establish

7、thenonlinearviscoelasticbiomechanicalmodelofsofttissuebyaddingnonlinearadjustfunctionintotheIII万方数据华北水利水电大学硕士论文generalstructureoflinearelasticmodel.Themeshlessnonlinearviscoelasticdeformationmodelofsofttissuewasbuiltupthroughcombinethenonlinearviscoelasticmod

8、elwithmeshlessmethodandderivedthetotalsystemcontrolequations.Themodelinthispapercanshowviscoelasticofsofttissueaccordingtherelationshipbetweenstress-strainandtime,whichalsocanshowthenonli