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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
- 2월-2014
- Publisher
- SPRINGER
- Keywords
- Isogeometric analysis; NURBS; PHT-splines; RHT-splines
- Citation
- COMPUTATIONAL MECHANICS, v.53, no.2, pp.369 - 385
- Indexed
- SCIE
SCOPUS
- Journal Title
- COMPUTATIONAL MECHANICS
- Volume
- 53
- Number
- 2
- Start Page
- 369
- End Page
- 385
- ISSN
- 0178-7675
- 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.
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