Multiscale approaches for magneto-elasticity in device simulation

Multiscale Modeling of Magnetic Materials

“…Full inversion of the model consists in allowing the magnetic flux density (B) and the mechanical total strain (ε) to be the input parameters (state variables) [16]. From the differential model, the inverse model can be obtained numerically.…”

“…and δB δε is the residual. Some convergence properties of the simplified MSM inversion can be found in [16].…”

“…The magnetisation of the analytical SMSM can be differentiated with respect to the magnetic field from equation (1.49). The calculation of the full differential susceptibility tensor is relatively complex as shown in [16]. As the set of possible domain orientations follows the magnetic field and as only the diagonal components of the stress are considered in the associated basis, the local magneto-elastic energy depends on the applied magnetic field.…”

“…magnetisation as a function of the magnetic field, for different values of the uniaxial stress: MSM with simplified texture (left) from[16], measurements (right) from[15]. Parallel magnetostriction ( hh ) in the sheet plane as a function of magnetisation, for different values of the uniaxial stress (in MPa): MSM with simplified texture (left) from[16], measurements (right) from[15].…”

“…Perpendicular magnetostriction ( p p ) in the sheet plane as a function of magnetisation, for different values of the uniaxial stress (in MPa): MSM with simplified texture (left) from[16], measurements (right) from[15].…”