Multi-materials with strong interface: Young measures formulation

AbstractWe propose a model of a multi-material with strong interface, whose thickness and stiffness are of order ε and 1ε, 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 ε tends to zero. We also obtain a microscopic description of the classical solution