Abstract
The existence of a deformation and magnetization minimizing the magnetostrictive free energy is given. Mathematical challenges are presented by a free energy that includes elastic contributions defined in the reference configuration and magnetic contributions defined in the spatial frame. The one-to-one a.e. and orientation-preserving property of the deformation is demonstrated, and the satisfaction of the nonconvex saturation constraint for the magnetization is proven.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2004-2019 |
| Number of pages | 16 |
| Journal | SIAM Journal on Mathematical Analysis |
| Volume | 36 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2005 |
Keywords
- Calculus of variations
- Magnetostriction
- Micromagnetics