Chapter1IntroductiontoExplicitDynamicsWelcome!CourseMaterialsA.AboutANSYS,Inc.CourseOverviewWhyUseExplicitDynamics?SolutionVELOCITYWhyUseExplicitDynamics?WhyUseExplicitDynamics?WhyUseExplicitDynamics?WhyUseExplicitDynamics?WhyUseExplicitDynamics?ExplicitSolutionStrategyBasicFormulation–ImplicitDynamicsBasicFormulation–ExplicitDynamicsBasicFormulation–ExplicitDynamicsStabilityTimeStepStabilityTimeStepStabilityTimeStepandMassScalingWavePropagationElasticWavesPlasticWavesShockWavesShockWavesShockandRarefactionWavesSpatialDiscretizationElementformulationsforExplicitDynamicsSolidelementsHexahedralExactvolumeintegrationApproximateGaussvolumeintegrationPentahedralAutomaticallyconvertedtoadegeneratehexTetrahedralSCP(StandardConstantPressure)ANP(AverageNodalPressure)ShellelementsQuadrilateralTriangularBeam(Line)elementHexahedralSolidElementsTwoFormulations:8node,exactvolumeintegration,constantstrainelementSinglequadraturepointwithhourglassstabilization8node,approximateGaussvolumeintegrationelementLS-DYNAformulation(Hallquist)SomeaccuracyislostforfastercomputationSinglequadraturepointwithhourglassstabilizationElementFormulationsElementFormulationsShellElementsQuadrilateralshellelementBelytschko-Tsay,withChang-WongcorrectionCo-rotationalformulation,bi-linear,4nodedSinglequadraturepointwithhourglassstabilizationIsotropicandlayeredorthotropicformulationsNumberofthroughthicknessintegrationpointscanbespecifiedTriangularshellelementC0TriangularPlateElement(Belytscho,StolarskiandCarpenter1984)Shouldbeusedinquad-dominantmeshesThicknessisaparameter(notmodelledgeometrically)ActualthicknesscanberenderedTimestepiscontrolledbytheelementlength,notbythicknessElementFormulationsElementFormulationsElementFormulationsElementUsageMaterialModelingBasicFormulation