A variational limit defined on the space of bi-dimensional gradient Young measures is obtained from three-dimensional elasticity via dimension reduction. The resulting 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.

The energy density of martensitic thin films via dimension reduction

Paroni, Roberto
2004

Abstract

A variational limit defined on the space of bi-dimensional gradient Young measures is obtained from three-dimensional elasticity via dimension reduction. The resulting 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.
Freddi, Lorenzo; Paroni, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11568/885827
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