Penalty coupling of trimmed isogeometric Kirchhoff–Love shell patches

Author:

Proserpio Davide1,Kiendl Josef1ORCID

Affiliation:

1. Institute of Engineering Mechanics and Structural Analysis—Bundeswehr University Munich , Werner-Heisenberg-Weg 39, 85577 Neubiberg, Germany

Abstract

Abstract We present a formulation for isogeometric Kirchhoff–Love shell analysis on complex CAD models consisting of multiple trimmed patches. The method is based on the penalty coupling method presented in Herrema AJ, Johnson EL, Proserpio D, Wu MCH, Kiendl J, Hsu MC (Penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches with application to composite wind turbine blades. Computer Methods in Applied Mechanics and Engineering 2019;346:810–840.) and extended to the application on arbitrary coupling curves defined either in the physical or parametric space. We present the detailed formulation ready for implementation. Different numerical tests demonstrate the accuracy and applicability of the method.

Funder

European Research Council

Horizon 2020 Framework Programme

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Mechanical Engineering,Condensed Matter Physics

Reference48 articles.

1. Penalty coupling of non-matching isogeometric Kirchhoff–Love shell patches with application to composite wind turbine blades;Herrema;Computer Methods in Applied Mechanics and Engineering,2019

2. Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement;Hughes;Computer Methods in Applied Mechanics and Engineering,2005

3. Isogeometric Analysis

4. Isogeometric shell analysis with Kirchhoff–Love elements;Kiendl;Computer Methods in Applied Mechanics and Engineering,2009

5. Isogeometric Kirchhoff–Love shell formulations for general hyperelastic materials;Kiendl;Computer Methods in Applied Mechanics and Engineering,2015

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