Coupling of non-conforming NURBS patches with the weak substitution method

作者: Sven Klinkel , Wolfgang Dornisch , Gennaro Vitucci , None

DOI: 10.1002/PAMM.201410122

关键词:

摘要: Isogeometric analysis unifies the data model for description of geometry design and analysis. The is altered towards compatibility with used in work flow. basis functions descriptions are to approximate all unknown quantities numerical simulation. most common industry NURBS surfaces. properties surfaces do not allow local refinement. Geometrical models industrial applications generally consist several patches, which usually neither have conforming knot vectors nor same degree. Thus, control points coincide a connection by shared possible. Special methods avoid mutual refinement necessary. This works presents new method coupling non-conforming patches. A relation between deformations having influence on edges established. allows expressing set slave as function appropriate master points. points, well associated degrees freedom can be removed from global system equation. also nonlinear computations without additional effort. derivation proposed shown. Numerical examples show high accuracy presented method. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)

参考文章(4)
Andreas Apostolatos, Robert Schmidt, Roland Wüchner, Kai-Uwe Bletzinger, A Nitsche‐type formulation and comparison of the most common domain decomposition methods in isogeometric analysis International Journal for Numerical Methods in Engineering. ,vol. 97, pp. 473- 504 ,(2014) , 10.1002/NME.4568
Martin Ruess, Dominik Schillinger, Ali I. Özcan, Ernst Rank, Weak coupling for isogeometric analysis of non-matching and trimmed multi-patch geometries Computer Methods in Applied Mechanics and Engineering. ,vol. 269, pp. 46- 71 ,(2014) , 10.1016/J.CMA.2013.10.009
Christian Hesch, Peter Betsch, Isogeometric analysis and domain decomposition methods Computer Methods in Applied Mechanics and Engineering. ,vol. 213, pp. 104- 112 ,(2012) , 10.1016/J.CMA.2011.12.003
Pavel Kagan, Anath Fischer, Pinhas Z. Bar-Yoseph, Mechanically based models: Adaptive refinement for B‐spline finite element International Journal for Numerical Methods in Engineering. ,vol. 57, pp. 1145- 1175 ,(2003) , 10.1002/NME.717