Multi-materials with strong interface: Young measures formulation

We propose a model of a multi-material with strong interface, whose thickness and stiffness are of orders epsilon and 1/epsilon, which encodes the gradient oscillations of the minimizing sequences. The stored strain energy of the structure is written in terms of Young measures variables and the new model is obtained by computing a suitable variational limit of the energy functional when epsilon tends to zero. We also obtain a microscopic description of the classical solution. (C) 2009 Elsevier Masson SAS. All rights reserved.