An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
- Authors
- Nguyen-Thanh, N.; Muthu, J.; Zhuang, X.; Rabczuk, T.
- Issue Date
- Feb-2014
- Publisher
- SPRINGER
- Keywords
- Isogeometric analysis; NURBS; PHT-splines; RHT-splines
- Citation
- COMPUTATIONAL MECHANICS, v.53, no.2, pp 369 - 385
- Pages
- 17
- Indexed
- SCI
SCIE
SCOPUS
- Journal Title
- COMPUTATIONAL MECHANICS
- Volume
- 53
- Number
- 2
- Start Page
- 369
- End Page
- 385
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/99398
- DOI
- 10.1007/s00466-013-0914-z
- ISSN
- 0178-7675
1432-0924
- Abstract
- An adaptive three-dimensional isogeometric formulation based on rational splines over hierarchical T-meshes (RHT-splines) for problems in elasto-statics and elasto-dynamics is presented. RHT-splines avoid some short-comings of NURBS-based formulations; in particular they allow for adaptive h-refinement with ease. In order to drive the adaptive refinement, we present a recovery-based error estimator for RHT-splines. The method is applied to several problems in elasto-statics and elasto-dynamics including three-dimensional modeling of thin structures. The results are compared to analytical solutions and results of NURBS based isogeometric formulations.
- Files in This Item
- There are no files associated with this item.
- Appears in
Collections - College of Engineering > ETC > 1. Journal Articles

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.