The effect of surface curvature and discontinuity on the surface energy density and other induced fields in elastic dielectrics with polarization gradient

The effect of a surface energy term on t

The effect of a surface energy term on the distribution of phases in an elastic medium with a two-well elastic potential

✍ Michael Bildhauer; Martin Fuchs; Victor Osmolovskii 📂 Article 📅 2002 🏛 John Wiley and Sons 🌐 English ⚖ 247 KB

## Abstract We consider the problem of minimizing among functions __u__:ℝ^__d__^⊃Ω→ℝ^__d__^, __u__~∣∂Ω~=0, and measurable subsets __E__ of Ω. Here __f__~__h__~^+^, __f__^−^ denote quadratic potentials defined on Ω¯×{symmetric __d__×__d__ matrices}, __h__ is the minimum energy of __f__~__h__~^+^ an