Polygonal scaled boundary isogeometric analysis for Reissner–Mindlin shell structures

Finite Elements in Analysis and Design, vol. 259, pp. 104575

Abstract

In this work, scaled boundary isogeometric analysis is utilized as surface discretization. This is a boundary-oriented approach that is particularly suitable for complex domains and trimmed models. Further, an isogeometric shell formulation based on the Reissner–Mindlin assumptions is presented, enhanced by incorporating a drilling degree of freedom. This extension eliminates the need to distinguish between smooth transitions and kinks. As a result, the scaled boundary parametrization can be applied directly without additional constraints across patch interfaces — an important feature given that the method inherently comprises multiple isogeometric patches. Additionally, a drilling stabilization relaxes the continuity requirements such that a C 0 -parametrization across patches suffices. A selective introduction of scaled-boundary parametrization and suitable polygonal domain tessellation open flexibilities for a part having complex topology, resulting in a model that is analysis-suitable. Several examples demonstrate the applicability of the proposed approach in geometric nonlinear problems including non-trivial domains.

Authors 5

1. Mathias Reichle corresponding Aachen Chair of Structural Analysis and Dynamics

   RWTH Aachen University

   Affiliation as printed

   Chair of Structural Analysis and Dynamics, RWTH Aachen University, Mies-van-der-Rohe-Straße 1, Aachen, 52074, Germany

2. Jeremias Nathanael Arf

   Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau

   Affiliation as printed

   Department of Mathematics, RPTU Kaiserslautern-Landau, Gottlieb-Daimler-Straße 48, Kaiserslautern, 67663, Germany

3. Myung-Jin Choi Aachen Chair of Structural Analysis and Dynamics

   RWTH Aachen University

   Affiliation as printed

   Chair of Structural Analysis and Dynamics, RWTH Aachen University, Mies-van-der-Rohe-Straße 1, Aachen, 52074, Germany

4. Bernd Simeon

   Rheinland-Pfälzische Technische Universität Kaiserslautern-Landau

   Affiliation as printed

   Department of Mathematics, RPTU Kaiserslautern-Landau, Gottlieb-Daimler-Straße 48, Kaiserslautern, 67663, Germany

5. Sven Klinkel Aachen Chair of Structural Analysis and Dynamics

   RWTH Aachen University

   Affiliation as printed

   Chair of Structural Analysis and Dynamics, RWTH Aachen University, Mies-van-der-Rohe-Straße 1, Aachen, 52074, Germany