Modeling and simulation of thin sheet folding

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