JournalsifbVol. 6 , No. 4DOI 10.4171/ifb/109

The energy density of martensitic thin films via dimension reduction

  • Lorenzo Freddi

    Università di Udine, Italy
  • Roberto Paroni

    Università di Sassari, Alghero, Italy
The energy density of martensitic thin films via dimension reduction cover

Abstract

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.