Isogeometric analysis for multi-patch structured Kirchhoff–Love shells

Journal article (2023)

Authors

Andrea Farahat Austrian Academy of Sciences
H.M. Verhelst Ship Hydromechanics and Structures - Mechanical, Maritime and Materials Engineering , Numerical Analysis - EEMCS
Josef Kiendl University of the Federal Armed Forces Munich
Mario Kapl Carinthia University of Applied Sciences
Research Group
Ship Hydromechanics and Structures (Mechanical, Maritime and Materials Engineering) (TU Delft)
Copyright: © 2023 Andrea Farahat, H.M. Verhelst, Josef Kiendl, Mario Kapl
DOI
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https://doi.org/10.1016/j.cma.2023.116060
Isogeometric analysis C-smooth functions Kirchhoff–Love shell problem Multi-patch structures
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Published Date

2023

Language

English

Faculty

Mechanical, Maritime and Materials Engineering

Department

Marine and Transport Technology

Research Group

Ship Hydromechanics and Structures

Abstract

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 (Collin et al., 2016), and on the other hand on the use of the globally C1-smooth isogeometric multi-patch spline space (Farahat et al., 2023). We use our developed technique within an isogeometric Kirchhoff–Love shell formulation (Kiendl et al., 2009) 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 modelled without the use of extraordinary vertices.