Derivation of a homogenized nonlinear plate theory from 3d elasticity
  We derive, via simultaneous homogenization and dimension reduction, the Gamma-limit for thin elastic plates whose energy density oscillates on a scale that is either comparable to, or much smaller than, the film thickness. We consider the energy scaling that corresponds to Kirchhoff's nonlinear bending theory of plates. 
Peter Hornung, Stefan Neukamm and Igor Velcic
math.AP