Isogeometric analysis for nonlinear planar Kirchhoff rods: Weighted residual formulation and collocation of the strong form

High-order shape functions used in isogeometric analysis allow the direct solution not only to the weighted residual formulation of the strong form, opening the door to new integration schemes (e.g. reduced Gauss–Lobatto quadrature, integration at superconvergent sites) but also to collocation approaches (e.g. using Greville or superconvergent collocation points). The goal of the present work is to compare these different methods through the...