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1、COMSOL Multiphysics Structural Mechanics and Thermal StressMinicourseOutlineStructural Mechanics OverviewFeatures in the Structural Mechanics ModuleCourse modelsElasto-plastic 3D elbow bracketWrapped composite cylinderHyperelastic sealTransient thermal stress analysisShaft with fillet (fatigue)Struc
2、tural Mechanics OverviewStatic linear elasticanalysis Nonlinear analysisMultiphysicsDynamics and vibrationsStructural Mechanics Module featuresSpecialized elements for structural mechanicsTrusses (2D/3D) and Beams (2D/3D)Plates (2D) and Shells (3D)Anisotropic materialsOrthotropic AnisotropicSpeciali
3、zed analysis typesFrequency response analysisLinear bucklingDamped eigenfrequency analysisStructural Mechanics Module features, contNonlinear material modelsElasto-plastic analysisIsotropicKinematicPerfectly plasticHyperelastic Neo-HookeanMooney-RivlinMurnaghanViscoelasticUser defined nonlinear mate
4、rial modelsLarge deformationsLarge displacements/rotationsStress-stiffening effects and nonlinear buckling Structural Mechanics Module features, contContact and friction analysisAll continuum application modesMultiphysics Contact problemsAugmented Lagrange method Coulomb FrictionDynamic friction, ex
5、ponential decayTransient contactStructural Mechanics Module features, contCoordinate systemsPerfectly Matched Layers (PMLs)Mixed formulation for nearly pressible materials Initial stress and strainPostprocessingFatigue analysisStress based high-cycle fatigueProportional loading with non-constant amp
6、litude using Rainflow countingNon-proportional loading with constant amplitudeStrain based low-cycle fatigueSWT (Smith-Watson-Topper) multiaxial modelStructural Mechanics Module features, contPredefined Multiphysics couplingsThermal - Structural interactionPiezoelectric effectFluid Structure interac
7、tionAcoustics Structural interactionThermal-Electric-Structural interactionElasto-plastic elbow bracketProblem Definition3D elbow bracketElasto-plastic constitutive modelIsotropic hardeningHardening function: experimental stress-strain curve Fixed displacementDistributed loadProblem Definition , con
8、tThe total effective strain:The hardening function:Effective stressYoungs modulusEffective plastic strainExperimental stress dataYield stressWorkflowDefine a function table for the experimental stress strain dataWorkflow, contDefine a scalar expression for the hardening functionCall the function str
9、ess_strain_curveUse as input the variable names for the effective plastic strain, effective stress and the Youngs modulus.Workflow, contApply the elasto-plastic material dataApply boundary conditionsSolve the problem by stepping up the distributed load with the parametric solverResultsThe plastic ar
10、ea at the final load stepWrapped Composite CylinderIntroductionNAFEMS benchmarkFeatured in this modelExtruded hexahedral meshCylindrical coordinate systemOrthotropic material modelPre-stress by temperature loadProblem DefinitionCylinder of two layersInner layer: isotropic materialOuter layer: orthot
11、ropic material, properties along the cylindrical coordinates 12200Orthotropic material orientationProblem Definition, cont.Two load cases are considered:An internal pressure of 200 MPa.An internal pressure of 200 MPa and an uniform increase of the temperature by 130 K.Symmetry boundary conditionsRes
12、ultsCOMSOL Multiphysics results are in good agreement with published NAFEMS solutionsHoop stress through the thickness of the tube.Hyperelastic SealIntroductionForce-deflection relation of a car door sealHyperelastic material modelLarge deformationsPredefined reaction force evaluationProblem Definit
13、ion2D plane strain modelIndenting cylinderFixed surfaceSeal cross-sectionMooney-Rivlinconstitutive model Adiabatic compressionof air Problem Definition, contFollower loadFixed displacementsContact pairContact pairPrescribed displacementResultsDeformation with no internal pressureDeformation with int
14、ernal pressureResultsWithout internal pressureWith internal pressureTransient thermal stress in elbow bracketProblem DefinitionSame geometry as elasto-plastic material exampleElbow heated at the extremity of the geometryTransient analysis computed with the transient segregated solverFixed displaceme
15、ntT = 20 CT = 500 CHeat fluxq=5*(20-T)ResultsTemperature distribution in the elbow bracket and maximal displacement vs timeShaft with filletIntroductionHigh cycle fatigueNon-proportional loading Benchmark modelProblem DefinitionCyclic bending loadCyclic twisting loadCompute fatigue usage factorFixed endApplied loadsProblem Definition, contTime variation of twistingmomentTime variation of bendingforceWor
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