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A flexible approach for coupling NURBS patches in rotationless isogeometric analysis of Kirchhoff–Love shells.
- Source :
-
Computer Methods in Applied Mechanics & Engineering . Oct2017, Vol. 325, p505-531. 27p. - Publication Year :
- 2017
-
Abstract
- This paper presents a flexible method for coupling NURBS patches in isogeometric Kirchhoff–Love shell analysis. The required C 1 -continuity in such a shell formulation significantly complicates the patch coupling (as compared to typical C 0 -cases). In the present work, the C 0 -part of the coupling is a global coupling in a weak sense, whereas the C 1 -continuity is enforced by a strong point-wise coupling in well-chosen collocation points along the interface. The coupling conditions can be derived using only mesh information, without the need for suitable penalty or stabilisation parameters. They are expressed using a master–slave formulation between the interface variables. A static condensation approach to enforce these continuity constraints results in a reduced system matrix. The proposed method can be employed for both conforming and non-conforming patch configurations, and for G 1 -continuous structures as well as for patches meeting at a kink. This is demonstrated for a set of problems of (dynamic) shell analysis, including both eigenvalue and boundary-value problems. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00457825
- Volume :
- 325
- Database :
- Academic Search Index
- Journal :
- Computer Methods in Applied Mechanics & Engineering
- Publication Type :
- Academic Journal
- Accession number :
- 125022020
- Full Text :
- https://doi.org/10.1016/j.cma.2017.07.022