  This paper studies the discretization of a homogenization and dimension
reduction model for the elastic deformation of microstructured thin plates
proposed by Hornung, Neukamm, and Vel\v{c}i\'c in 2014. Thereby, a nonlinear
bending energy is based on a homogenized quadratic form which acts on the
second fundamental form associated with the elastic deformation. Convergence is
proven for a multi-affine finite element discretization of the involved
three-dimensional microscopic cell problems and a discrete Kirchhoff triangle
discretization of the two-dimensional isometry-constrained macroscopic problem.
Finally, the convergence properties are numerically verified in selected test
cases and qualitatively compared with deformation experiments for
microstructured sheets of paper.
