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Multi-patch isogeometric analysis for Kirchhoff-Love shell elements
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DOI：10.1016/j.cma.2019.02.015.png)
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摘要
En 中文
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.
Keyword:
Higher-order
IGA
Kirchhoff-Love shells
Basis modification approach
Domain-decomposition
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IF:
7.3
论文数:
1.3W
被引数:
5.6W
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