Inserted: 6 may 2003
Last Updated: 16 dec 2004
Journal: Interfaces and Free Boundaries
A variational limit defined on the space of bi-dimensional gradient Young measures is obtained from three-dimensional elasticity via dimension reduction. The obtained limit problem uniquely determines the energy density of the thin film. Our result might be used to compute the microstructure in membranes made of phase transforming material.
Keywords: Young Measures, $\Gamma$-convergence, dimension reduction, martensitic thin film, gradient Young measure