  The article addresses the mathematical modeling of the folding of a thin
elastic sheet along a prescribed curved arc. A rigorous model reduction from a
general hyperelastic material description is carried out under appropriate
scaling conditions on the energy and the geometric properties of the folding
arc in dependence on the small sheet thickness. The resulting two-dimensional
model is a piecewise nonlinear Kirchhoff plate bending model with a continuity
condition at the folding arc. A discontinuous Galerkin method and an iterative
scheme are devised for the accurate numerical approximation of large
deformations.
