An Energy Estimate for Dislocation Configurations and the Emergence of   Cosserat-Type Structures in Metal Plasticity
  We investigate low energy structures of a lattice with dislocations in the context of nonlinear elasticity. We show that these low energy configurations exhibit in the limit a Cosserat-like behavior. Moreover, we give bounds from above and below to the energy of such configurations. 
Gianluca Lauteri and Stephan Luckhaus
math-ph math.FA math.MP