We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertices, i.e. vertices with a valency different to four. The proposed isogeometric shell discretisation is based on the one hand on the approximation of the mid-surface by a particular class of multi-patch surfaces, called analysis-suitable~G1 [1], and on the other hand on the use of the globally C1-smooth isogeometric multi-patch spline space [2]. We use our developed technique within an isogeometric Kirchhoff-Love shell formulation [3] to study linear and non-linear shell problems on multi-patch structures. Thereby, the numerical results show the great potential of our method for efficient shell analysis of geometrically complex multi-patch structures which cannot be modeled without the use of extraordinary vertices.
@article{arxiv.2209.06713,
title = {Isogeometric analysis for multi-patch structured Kirchhoff-Love shells},
author = {Andrea Farahat and Hugo M. Verhelst and Josef Kiendl and Mario Kapl},
journal= {arXiv preprint arXiv:2209.06713},
year = {2023}
}