Magnetostriction Package for E-MicroM contains all the operators needed for modeling the magnetostriction process for the E-MicroM problem. More...
Magnetostriction Package for E-MicroM contains all the operators needed for modeling the magnetostriction process for the E-MicroM problem.
It contains the main class EMM_MagnetostrictionOperator which needs the EMM_DisplacementOperator.
The displacement operator is implemented in 2 classes:
- the EMM_DisplacementFEMOperator based on Finite Elements Method
- the EMM_DisplacementFVMOperator based on Finite Volumes Method
The FEM method leads to solving a linear symmetric definite positive matrix system solved by conjugate gradient method MATH_ConjugateGradient . This iterative method needs only to write the matrix x vector product. There is 2 implementatons of the product because the definite postive matrix is the same in all directions :
- the EMM_CanonicalMassMatrix class solves the system in each direction (3 system to solve)
- the EMM_BlockMassMatrix class solves the 3 times bigger system once. Each block is a diagonal block of size 3. As this method does not need more iteration than with the canonical matrix. We use this implementation by default.
- the EMM_CondensedMassMatrix class where the mass matrx is supposed to be diagonal by using the mean formula to integrate the mass element
The magnetotstriction operator may be used in static mode :
- the EMM_StaticMagnetostrictionOperator when the constraints stress is constant
- the EMM_StaticMagneticTensorOperator whn the constraints stess is reduced to its magnetic stress.
The elasticity model is validated thanks to the wave equation inside the EMM_DisplacementTest class. It calls:
- EMM_ElasticStressTest to test the building of the elastic stress
- EMM_MagneticStressTest to test the buidling of the Magnetic stress
- EMM_DisplacementFieldsTest to test the evolution of the displacement with respect of time
- EMM_VelocitySolverTest to test the solver
- EMM_DisplacementWaveTest to test the wave equation in 3D
- EMM_WaveTest to generate wave solutions:
- EMM_WaveFEMTest with Finite Elements Method with condensed mass matrix or not
- EMM_WaveFDMTest with Finite Differences Method
The UML organization of the package is :
