Finite Element Approximation of Large-Scale Isometric Deformations of Parametrized Surfaces

In this paper, the numerical approximation of isometric deformations thin elastic shells is discussed. To end, for a shell represented by parametrized surface, it shown how to transform stored energy an deformation such that highest order term quadratic. For reformulated model, existence optimal shown. A finite element obtained using Discrete Kirchhoff Triangle (DKT) approach and convergence discrete minimizers continuous minimizer demonstrated. respect, paper generalizes results Bartels bending isometries plates. Newton scheme derived numerically simulate large shells. The proven properties are experimentally verified characteristics