Isogeometric analysis with trimming technique for problems of arbitrary complex topology

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Trimming technique is a powerful and efficacious way of endowing an arbitrary complex topology to CAD files created by using NURBS. In the present work, it is shown that any complex multiply-connected NURBS domain can be described by using trimming curves only. lsogeometric analysis for linear elasticity problems of complex topology described in this way is presented. For fully communicative interaction between CAD and CAE, a specific searching algorithm and an integration scheme of trimmed elements are introduced to utilize the ICES files exported from CAD system for Isogeometric analysis. Schemes for imposing essential and traction boundary conditions on trimming curves are presented. It has been demonstrated that with the presented schemes trimmed cases in any complicated situations can be successfully treated. With the examples of complex topology that could be described by employing trimming curves only, effectiveness and robustness of present method are demonstrated. (C) 2010 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE SA
Issue Date
2010
Language
English
Article Type
Article
Keywords

FINITE-ELEMENT-METHOD; LAGRANGIAN-MULTIPLIERS; BLOOD-FLOW; NURBS; REFINEMENT; CAD

Citation

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v.199, no.45-48, pp.2796 - 2812

ISSN
0045-7825
DOI
10.1016/j.cma.2010.04.015
URI
http://hdl.handle.net/10203/100113
Appears in Collection
ME-Journal Papers(저널논문)
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