Journal article
Blending isogeometric and Lagrangian elements in three-dimensional analysis
Finite elements in analysis and design, Vol.112, pp.50-63
05/2016
DOI: 10.1016/j.finel.2015.12.009
Abstract
A method for blending three-dimensional Non-Uniform Rational B-Splines (NURBS) elements and Lagrangian elements is proposed. In the blended element, selected boundary facets of a NURBS patch are presented in Lagrangian form, enabling the patch to be directly connected to standard Lagrangian elements. The transformation from NURBS to Lagrangian preserves the original geometry and thus retains the geometric exactness. The transformation is utilized to develop blended models wherein a part of the domain is described in NURBS while the remaining domain is in traditional finite elements. A simply supported beam is used as the benchmark example to test the convergence of the 3D blended element model. The utility of the blended model is also demonstrated with an example of a gear with intricate geometry. The stress solutions are compared with those of the pure finite element model and the validity of the blended analysis is demonstrated.
•A method is proposed to blend NURBS and finite elements in 3D isogeometric analysis.•The interfacing facets of a NURBS patch are transformed to Lagrangian form.•Transformation from NURBS to Lagrangian can preserve the original geometry.•Connection between higher order NURBS and lower order finite elements is discussed.•A blended model of an intricate geometric gear is built and analyzed.
Details
- Title: Subtitle
- Blending isogeometric and Lagrangian elements in three-dimensional analysis
- Creators
- Jianli Ge - Nanjing University of Science and TechnologyBin Guo - Nanjing University of Science and TechnologyGuolai Yang - Nanjing University of Science and TechnologyQuanzhao Sun - Nanjing University of Science and TechnologyJia Lu - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Finite elements in analysis and design, Vol.112, pp.50-63
- Publisher
- Elsevier B.V
- DOI
- 10.1016/j.finel.2015.12.009
- ISSN
- 0168-874X
- eISSN
- 1872-6925
- Grant note
- DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 11172139; name: National Key Scientific Instrument and Equipment Development Project of China, award: 2013YQ47076508; DOI: 10.13039/501100012226, name: Fundamental Research Funds for the Central Universities, award: 30915118825
- Language
- English
- Date published
- 05/2016
- Academic Unit
- Mechanical Engineering
- Record Identifier
- 9984195064802771
Metrics
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