Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 349, Issue -, Pages 91-116Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2019.02.015
Keywords
Higher-order; IGA; Kirchhoff-Love shells; Basis modification approach; Domain-decomposition
Funding
- Deutsche Forschungsgemeinschaft (DFG), Germany [HE5942/5-1, SPP 1748, HE5943/8-1]
- DFG [SPP 1748, WO671/11-1, WO671/15-2]
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We formulate a methodology to enforce interface conditions preserving higher-order continuity across the interface. Isogeometrical methods (IGA) naturally allow us to deal with equations of higher-order omitting the usage of mixed approaches. For multi-patch analysis of Kirchhoff-Love shell elements, G 1 continuity at the interface is required and serve here as a prototypical example for a higher-order coupling conditions. When working with this class of shell elements, two different types of constraints arise: Higher-order Dirichlet conditions and higher-order patch coupling conditions. A basis modification approach is presented here, based on a least-square formulation and the incorporation of the constraints into the IGA approximation space. An alternative formulation using Lagrange multipliers which are statically condensed via a discrete Null-Space method provides additional insight into the proposed formulation. A detailed comparison with a classical mortar approach shows the similarities and differences. Eventually, numerical examples demonstrate the capabilities of the presented formulation. (C) 2019 Elsevier B.Y. All rights reserved.
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