Details
| Original language | English |
|---|---|
| Pages (from-to) | 369-385 |
| Number of pages | 17 |
| Journal | Computational Mechanics |
| Volume | 53 |
| Issue number | 2 |
| Publication status | Published - 29 Aug 2013 |
| Externally published | Yes |
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.
Keywords
- Isogeometric analysis, NURBS, PHT-splines, RHT-splines
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational Mechanics, Vol. 53, No. 2, 29.08.2013, p. 369-385.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
AU - Nguyen-Thanh, N.
AU - Muthu, Jacob
AU - Zhuang, Xiaoying
AU - Rabczuk, Timon
N1 - Funding information: The financial support by the International Research Staff Exchange Scheme (IRSES), Nation Research Foundation (NRF) South Africa and the German Research Foundation (DFG) are gratefully acknowledged.
PY - 2013/8/29
Y1 - 2013/8/29
N2 - 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.
AB - 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.
KW - Isogeometric analysis
KW - NURBS
KW - PHT-splines
KW - RHT-splines
UR - http://www.scopus.com/inward/record.url?scp=84893898822&partnerID=8YFLogxK
U2 - 10.1007/s00466-013-0914-z
DO - 10.1007/s00466-013-0914-z
M3 - Article
AN - SCOPUS:84893898822
VL - 53
SP - 369
EP - 385
JO - Computational Mechanics
JF - Computational Mechanics
SN - 0178-7675
IS - 2
ER -