FEM: Equazione di elasticità
FEM EquationElasticity |
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Solve → Equazione di elasticità |
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Descrizione
Da fare
For info about the math of the equation, see the Elmer models manual, section Linear Elasticity.
Usage
- After adding an Elmer solver as described here, select it in the tree view.
- Now either use the toolbar button or the menu Solve → Elasticity equation.
- Change the equation's solver settings or the general solver settings if necessary.
Solver Settings
For the general solver settings, see the Elmer solver settings.
The elasticity equation provides these special settings:
- DatiCalculate Pangle: If the principal angles should be calculated.
- DatiCalculate Principal: If all stresses should be calculated.
- DatiCalculate Strains: If strains will be calculated. This will also calculate the stresses, even if DatiCalculate Principal or DatiCalculate Stresses is false.
- DatiCalculate Stresses: If stresses should be calculated. Compared to DatiCalculate Principal the Tresca yield criterion and the principal stress will not be calculated.
- DatiConstant Bulk System: See the Elmer manual for more info.
- DatiDisplace Mesh: If mesh can be deformed. This is by default true and must be set to false for eigenfrequency analyses.
- DatiFix Displacement: If displacements or forces are set. thereby DatiModel Lumping is automatically used.
- DatiGeometric Stiffness: Considers the geometric stiffness of the body.
- DatiIncompressible: Computation of incompressible material in connection with viscoelastic Maxwell material and a custom DatiVariable.
- DatiMaxwell Material: Compute the viscoelastic material model.
- DatiModel Lumping: Uses model lumping.
- DatiModel Lumping Filename: File to save the results from the model lumping.
- DatiStability Analysis: If true DatiEigen Analysis becomes a stability analysis (buckling analysis). Otherwise a modal analysis is performed.
- DatiUpdate Transient System: See the Elmer manual for more info.
- DatiVariable: The variable for the elasticity equation. Only change this if DatiIncompressible is set to true in accordance to the Elmer manual.
Eigenvalues:
- DatiEigen Analysis: If an eigen analysis should be performed (calculation of eigenmodes and eigenfrequencies).
- DatiEigen System Complex: Should be true if the eigen system is complex. it must be false for a damped eigen value analyses.
- DatiEigen System Compute Residuals: Computes residuals of the eigen value system.
- DatiEigen System Damped: Set a damped eigen analysis. Can only be used if DatiLinear Solver Type is Iterative.
- DatiEigen System Select: Selection of which eigenvalues are computed. Note that the selection of Largest* cause an infinite run for recent Elmer solver (as of August 2022).
- DatiEigen System Tolerance: Convergence tolerance for iterative eigensystem solve. The default is 100 times the DatiLinear Tolerance.
- DatiEigen System Values: The number of the highest eigenmode that should be calculated.
Equation:
- DatiPlane Stress: Computes solution according to the plane stress situation. Applies only for 2D geometry.
Constraint Information
The elasticity equation takes the following constraints into account if they are set:
- Constraint fixed
- Constraint displacement
- Constraint force
- Constraint pressure
- Constraint self weight
- Constraint initial temperature
Note
Except for calculations in 2D, for all above constraints it is important that they act on a face. Constraints for 3D set to lines or vertices are not recognized by the Elmer solver.
Eigenmode Analysis
To perform an eigenmode analysis (calculation if the eigenmodes and eigenfrequencies), you need to
- Set DatiEigen Analysis: to true
- Set DatiDisplace Mesh: to false
- Set DatiEigen System Values: to the highest number of eigenmodes you are interested in. The smaller this number the shorter the solver runtime since higher modes can be omitted from computation.
- Add a constraint fixed and set at least one face of the body as fixed.
- Run the solver.
Note: If you use more than one CPU core for the solver (introduced in version 1.0), you cannot use Umfpack, the only direct method for parallel solving is MUMPS.
Also note that iterative solving is not recommended for eigenmode analysis. Therefore either only use one CPU core or install the MUMPS module to Elmer.
Buckling Analysis
To perform a buckling analysis, you need to do the same as for an Eigenmode Analysis, and additionally:
- Set DatiStability Analysis to true
Results
The available results depend on the solver settings. If none of the DatiCalculate * settings was set to true, only the displacement is calculated. Otherwise also the corresponding results will be available. If DatiEigen Analysis was set to true all results will be available for every calculated eigenmode.
If DatiEigen Analysis was set to true, the eigenfrequencies are output at the end of the solver log in the solver dialog and also in the document SolverElmerOutput that will be created in the tree view after the solver has finished.
Note: The eigenmode displacement vector has an arbitrary value since the result is
whereas is the eigenvector and is a complex number.
- Materials: Solid, Fluid, Nonlinear mechanical, Reinforced (concrete); Material editor
- Element geometry: Beam (1D), Beam rotation (1D), Shell (2D), Fluid flow (1D)
Constraints
- Electromagnetic: Electrostatic potential, Current density, Magnetization
- Geometrical: Plane rotation, Section print, Transform
- Mechanical: Fixed, Displacement, Contact, Tie, Spring, Force, Pressure, Centrif, Self weight
- Thermal: Initial temperature, Heat flux, Temperature, Body heat source
- Overwrite Constants: Constant vacuum permittivity
- Solve: CalculiX Standard, Elmer, Mystran, Z88; Equations: Deformation, Elasticity, Electrostatic, Electricforce, Magnetodynamic, Magnetodynamic 2D, Flow, Flux, Heat; Solver: Solver control, Solver run
- Results: Purge, Show; Postprocessing: Apply changes, Pipeline from result, Warp filter, Scalar clip filter, Function cut filter, Region clip filter, Contours filter, Line clip filter, Stress linearization plot, Data at point clip filter, Filter function plane, Filter function sphere, Filter function cylinder, Filter function box
- Additional: Preferences; FEM Install, FEM Mesh, FEM Solver, FEM CalculiX, FEM Concrete; FEM Element Types
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