Modeling and simulation of thin sheet folding

  • Sören Bartels

    Albert-Ludwigs-Universität Freiburg, Freiburg im Breisgau, Germany
  • Andrea Bonito

    Texas A&M University, College Station, USA
  • Peter Hornung

    Technische Universität Dresden, Germany
Modeling and simulation of thin sheet folding cover
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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.

Cite this article

Sören Bartels, Andrea Bonito, Peter Hornung, Modeling and simulation of thin sheet folding. Interfaces Free Bound. 24 (2022), no. 4, pp. 459–485

DOI 10.4171/IFB/478