Existence of Energy Minimizers for Magnetostrictive Materials
نویسندگان
چکیده
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.
منابع مشابه
to appear in SIAM Journal on Mathematical Analysis EXISTENCE OF ENERGY MINIMIZERS FOR MAGNETOSTRICTIVE MATERIALS
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 satisfa...
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 36 شماره
صفحات -
تاریخ انتشار 2005